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Enterprise-Rent-A-Car Coupons and Offers
20% off Weekly Car Rentals in Israel.Offer is available to residents of the US and Canada for vehicle rentals at all the following Enterprise airport locations: in Israel(TLV). This offer entitles you to a 20% discount on the weekly rate of the vehicle at the time of booking. Discount is valid for vehicles booked by September 30, 2017 and for completed rentals by November 15, 2017. The weekly rate includes unlimited mileage. Discount applies to all car classes. Minimum rental length is five (5) days. Unless otherwise specified, discount does not apply to any additional charges including optional excess waiver, one way hire charges, fuel charges, additional driver and young driver charges, hire of additional items such as child seats, snow chains, roof racks and navigation guides. Rental rates and additional charges vary by location. Offer is subject to vehicle availability at the time of booking. Blackout dates may apply. Renter and additional driver (if applicable) must meet normal rental qualifications including any license, age and credit card requirements in the renting country. Note age qualifications vary by country and in some countries you will need to be 25 years or age older to rent an A to F class vehicle, mini MPV or any van and 30 years or older to rent other vehicles. Additional restrictions and surcharges may apply for renters under 25 years old. This offer may not be used in conjunction with any other promotion, offer or discounted rate. Contact details for rental locations and details of age requirements can be obtained from www.enterprise.com.
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subset: commoncrawl


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4785 Riverside Drive
Macon, GA 31210-1115
Sales: (478) 757-7000
** 0.9% APR available ** This 2017 BMW X5 Listed new for $74,520. It is Carbon Black Metallic with a Black Dakota Leather Interior. This BMW X5 comes very well equipped with an Premium Package (Comfort Access Keyless Entry, 4-Zone Climate Control, Satellite Radio w/ 1-year Subscription, Enhanced Bluetooth and USB, Wireless Charging, WIFI Hot Spot), M Sport Package (20' Light Alloy Double Spoke Wheels, SPORT Automatic Transmission, M Steering Wheel, High Gloss Roof Rails, Multi-Contour Seats, Aerodynamic Kit, Shadowline Exterior Trim, Antracite Headliner, Standard Suspension, Poplar Wood Trim), Cold Weather Package (Heated Steering Wheel, Heated Rear Seats, Retractable Headlight Washers), Driver Assistance Package (Rear View Camera, Head-up Display), Driver Assistance Plus (Active Blind Spot Detection, ACC Stop and Go + Active Driving Assistant, Surround View, Speed Limit Info), Navigation System, Advanced RTTI, BMW Online and BMW Apps, Additional 12-V Power Sockets, Soft Close Automatic Doors, Parking Assistant, Park Distance Control, Harman Kardon Surround Sound System, Ambiance Lighting, Auto Dimming Mirrors, Universal Garage Door Opener, Heated Front Seats, Storage Package, Luxury Seating Package (Front Ventilated Seats w/ Lumbar Support), Floor Mats, Tire Pressure Monitor, Apple CarPlay Compatibility, BMW Connected App Compatibility, Remote Services, BMW Assist eCall, BMW TeleServices, LED Foglights, Privacy Glass, Ceramic Controls, Rear Manual Side Window Shades, Increased Top Speed Limiter, Power Adjusting Steering Column, and Daytime Driving Lights. This X5 comes with a BMW Certified/Unlimited Mileage Warranty with coverage until 09-04-2022! Please ask for Internet Sales to receive this special internet offer!
4785 Riverside Drive
Macon, GA 31210-1115
(0 Miles)
Sales: (478) 757-7000
Year: 2017
Make: BMW
Model: X5 sDrive35i
Price: $63,900
Mileage: 5,269
Engine: I-6 cyl
Transmission: AUTOMATIC
Exterior Color: Carbon Black Metallic
Interior Color: Black Dakota Leather
Fuel Type: Other
Stock #: BU7453
City MPG: 18
Hwy MPG: 25
Featured Options
Cold Weather Package
Driving Assistance Package
Driving Assistance Plus
Luxury Seating Package
M Sport Package
Premium Package
M Sport Package
20" M wheels
Soft-close automatic doors
Rear manual side window shades
Multi-contour seats
Poplar Wood Trim
Ceramic Controls
ACC Stop&Go + Active Drive Ast
Parking Assistant
Navigation system
Harman Kardon surround sound
Apple CarPlay Compatibility
Connected App Compatibility
Included Packages
Cold Weather Package
Driving Assistance Package
Driving Assistance Plus
Luxury Seating Package
M Sport Package
Premium Package
M Sport Package
Additional Options
Soft-close automatic doors
Rear manual side window shades
Ceramic Controls
Parking Assistant
Navigation system
Harman Kardon surround sound
Apple CarPlay Compatibility
Connected App Compatibility
CO2 relevant vehicles
Power adj. steering column
Tire pressure monitor
Universal garage-door opener
Privacy glass
Floor mats
Auto-dimming driver mirror
Smoker's package
Lumbar support
Storage package
Heated front seats
Blow-by heater
Park Distance Control
Ambient Lighting
Additional 12-V power sockets
LED Fog Lights
BMW Assist eCall
BMW TeleServices
BMW Online and BMW Apps
Advanced RTTI
Remote Services
Increased top speed limiter
Oil Chg 10,000 mls/12 months
Variable Light Decoding
Daytime driving lights
Transport protection
Tier 2


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This specific ISBN edition is currently not available.View all copies of this ISBN edition:
This one represents all of my paranormal stories bundled into one book. They are as follows: "The Haunting of Annabelle" "Room 13" "Ariel's Last Mission" "The Portal" "The Hybrid" "Jessica's Satanic Rite of Passage" "Mind Reader" "The Haunted House" "To Hell and Back" "Soul Reaper" "Time Loop" "Hell's Gate" "Vampire Berserker" The first seven of which are soon to be turned into an audiobook. With the exception of two stories "To Hell and Back" and "Soul Reaper' All of the tales are erotic and quite graphic in nature. This book is meant for adults only. Enjoy.
"synopsis" may belong to another edition of this title.
From United Kingdom to U.S.A.
Book Description CreateSpace Independent Publishing Platform, 2012. Paperback. Condition: Brand New. 794 pages. 8.00x1.79x5.00 inches. This item is printed on demand. Seller Inventory # zk1479191876


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The moon table is comprised of audio oak and powder-coated metallic for almost any dynamic blend of components. Set up by husband and wife or husband structure duo Lara & Jan (co-founders of Universo Positivo), This is a showcase of easy structure for present-day interiors.
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text: The San Francisco Giants and their fans are becoming quite comfortable at Petco Park. With many of their vocal fans behind them, the Giants have won 14 of their last 19 games in San Diego and 19 of 25 overall against the Padres. San Francisco, which looks for a three-game series sweep Sunday, sits one-half game ahead of Los Angeles in the National League West. San Diego has been outscored 36-9 during its current five-game losing streak, although the Padres mounted a valiant comeback in Saturdayâs 8-7 loss. Third baseman Chase Headley leads the majors this month with eight home runs and 24 RBIs.


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For making origami need colored leaf or white paper with equal sides. Size - at your discretion. First we make a basic form of "catamaran". Next, add up to the scheme:
1. Pick up the first boat from the "catamaran" and turn shape.
2. Draw a diagonal line and fold opposite corners in the direction of the arrows. Turn the piece to the other side.
3. Fold the square diagonally and swipe one corner.
4. Fold the corner.
5. Slightly lower left corner, simultaneously pull the two right angles.
6. Turn the figure sideways (see. On the drawing) and fold the bottom corners on both sides.
7. Again bend every corner, try to combine with the hand.
8. It remains to raise the corners, and harvesting "fish" is made.
To figure origami gained a finished look, paint the "fish." Draw scales and eyes, mark the contours and color fins.
Submitted by Jurij on Tue, 06/14/2016 - 14:55 Permalink
How to use: you can use this
How to use: you can use this figure in a makeshift home theater, for example, in the production of "The Tale of the Fisherman and the Fish."
- Log in to post comments


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Philips Pacifiers Malaysia
Get 45% discounts on Philips Pacifiers, exclusively at iprice! Soothie Pacifier - Natural Scent, BPA Free Super Soothie Pacifier, 3 Months+, Natural Scent and [BB28] Soothie Bear Shaped (2 in 1 pack) | 100% original, are two most popular Philips Pacifiers from the brand. If Philips Pacifiers does not tickle your fancy, do check out louis will, Avent and Philips Avent online. On iprice, Philips Pacifiers are offered between RM 25.00 - RM 80.00. You can find either a Leashes


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Erdoğan says Turkey will clear border of YPG terrorists
President Recep Tayyip Erdoğan said Saturday that Turkey will conduct military operations in Syria's Afrin if the PKK-affiliate Peoples' Protection Units (YPG) terrorists do not withdraw, adding that Turkey was disappointed with the United States for not keeping its promises, Daily Sabah reported.
Speaking at the provincial congress meetings of his ruling Justice and Development (AK) Party in eastern Elazığ province, Erdoğan said Turkey will clear its border with Iraq of "terrorists."
"Making a terrorist wear uniform, and flying your country's flag over the buildings they use does not change any facts. Thousands of weapons sent to the region are already on the black market and some of them are being used against us," Erdoğan said, criticizing the U.S.' support to YPG militia.
The president said Turkey will act alone to protect its security against YPG terrorists even if the U.S. continues its partnership with the group.
According to information obtained by Anadolu Agency (AA) from local sources, YPG terrorists in northern Syria have reportedly geared up to establish a regular army called the Army of the North with U.S. assistance.
The sources said the U.S. military completed the training of 400 YPG members, following an announcement from the U.S. Central Command (CENTCOM) Commander Gen. Joseph Votel on Dec. 22, 2017, about forming border guard regiments.
Washington reneged on its promise to cease its support for the PKK's Syrian affiliate the Democratic Union Party (PYD) and its armed wing the YPG after Daesh was defeated in Syria, and has substantially increased weaponry and technology support to the group.
Despite the PKK being listed as a terrorist group by the U.S., EU, and NATO, Washington supports the PYD and the YPG as "the most effective partner against Daesh," overlooking their links to the PKK. The support has become a strong factor in the deterioration of ties between the two NATO allies, bringing relations to historic lows in recent years.
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- 29.12.2012Iranian minister says Iran-Afghanistan university to be established soon


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March home prices were again dominated by the Northwest with Portland, Oregon posting a year-over-year gain of 12.30 percent followed by Seattle, Washington's year-over-year gain of 10.80 percent.
What's Ahead For Mortgage Rates This Week – April 18, 2016
What's Ahead For Mortgage Rates This Week – April 4, 2016
Last week's economic calendar was full of new releases including pending home sales, Case-Shiller Home Price Indices and construction spending. Labor related reports including ADP payrolls, federal Non-farm payrolls, and the national unemployment rate were also released along with reports on consumer confidence and weekly reports on mortgage rates and new unemployment claims.


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Nurse arrested for plotting to behead and eat 14-year-old girlBy Mason White 9:24 AM July 16, 2014
|Dale Bolinger
By: Anika Rao
A nurse was arrested on charges of conspiracy after allegedly plotting to behead and eat a little girl, police in the United Kingdom said.
Kent Police said that they arrested 57-year-old Dale Bolinger, a day after buying an ax at Homebase.
He plotted to decapitate and eat the 14-year-old girl. The suspect was arrested while he was working at a hospital in Kent.
The United States FBI, tipped off British authorities about the plot. According to an investigation by the Federal Bureau of Investigations, Bolinger discussed rape, murder and cannibalism on the Dark Fetish Network Internet forum.
Posts by Bolinger on the website, on which he identified himself as "meatmarketman," claimed that he had already eaten a 39-year-old black woman and a 5-year-old girl, prosecutors told a court.
The day after he had bought the ax, Bolinger went to the train station to meet Eva Gonza, but she never showed up. Bolinger denied the allegations.


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Item is available at 122003Change
You can place a return request within 10 days of order delivery.
In case of damaged/missing product or empty parcel, the return request should be filed within 2 days of delivery.
Operated by 4 AA – size batteries or AC adapter this neat machine comes pre-threaded and ready to use. The large spool can also be used with a rewinding device for the easy replacement of the bottom bobbin. ( Best Offer Buy Mini Sewing Machine - Get 8 in 1 Multi Screwdriver with 6 LED torch Light FREE) Features:- Comes pre-threaded and ready to use. Sews in a durable chain locking stitch. Mini size light and with good space for guiding sewing cloth by hand power alloy gears inside to guarantee long time use. Large spool can be used with rewinding device for easy replacement of bottom bobbin. With pedal for easy foot control. Ac / Dc operation. Requires 4″aa'batteries or as adapter (not included). With two speed control. The light in the sewing machine head can illuminate your sewing when more light needed. Sew the sleeves easily.


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Starting Rate: $179 Priced recently for Mar 6 - Mar 7, 2018
This elegant hotel offers luxurious accommodations enhanced by attentive friendly Texas style service. Guest rooms offer essential conveniences for travelers today including a work desk and dual phones lines plus available high speed internet access. Guests can relax and enjoy true Texas flavor at the Onion Creek Grille or take a dip in one of the largest indoor outdoor heated pools in all of Austin. A private fitness center is equipped for the most challenging work out while our Trinity Spa offers treatments guaranteed to melt the stress away. Hotel is 100 percent non-smoking.
Cancellation Policy: All reservations must be cancelled before 12 noon local hotel time one day prior to arrival to avoid billing. Individual rate plans may have cancellation requirements that vary from the standard policy. Check specific rate description for complete details.
Hotel Rating(s): 4 Star
Check In: 3:00 PM
Check Out: 12:00 PM
Currency:American Dollars
Floors: 14
Rooms: 312
Year Opened: 1983
Year Renovated: 01/01/2014
Time Zone: CST
About the Location
The Omni Austin Hotel at Southpark is just 6 miles from Austin Bergstrom International Airport via complimentary airport shuttle service and just 3.5 miles from Austins Central entertainment districts. The hotel is in the center of South Austins high tech corridor yet only 3.5 miles from the Austin Convention Center plus the State Capitol and Austins Entertainment and dining districts. Easy access to area freeways puts many businesses and plus parks and other recreational facilities just moments away.
Double beds
Double - Pool view
Grab bars in bathroom, Accessible room, Handicap room
King bed
Our gift and coffee shop serving Petes gourmet coffee and espresso drinks. Hours Sun-Wed 0600-2000 and Thu-Sat 0600-2200.
Set in a casually elegant atmosphere the Onion Creek Grille features a breakfast buffet as well as a pasta buffet and delicious dinner selections. Breakfast Mon-Fri 0630-1000 and Sat-Sun 0630-1100. Lunch Mon-Fri 1100-1400 and Dinner Daily 1700-2200.
This full service bar features Texas beer and single malt scotches as well as bourbons plus delicious appetizers and sandwiches. Hours of operation may vary seasonally.
Pool - Indoor/outdoor
UT Longhorn Baseball
UT Basketball and Concerts
No free shuttle to property. No public transportation adjacent. Not within walking distance of the property.
Better Business Bureau
A+ Rating
Hotel Reservations
since 1999


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He s at the top of the list because of his easy-going attitude. Nish cock head swelled up like a balloon within my vagina and he shot the hottest jets of cum over the neck of my cervix. The couples you have been with. Scared the pee-wadding out of me. Germany
IrmelinReinhold (28, 34)
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I will say that i definately do not want to ruin the friendship my wife has with her and i don t want to ruin the friendship i have with her either. She shouted as she fell head first into the huge pot with a splash. Although our first swap was with everyone present in the same place we were out in public though and i was ok with that. Whether it s between us two alone or with those couples we have had conversations. It s been month s since she s had a job and income. I m helped up onto the bench from the two guys i had just had sex with and i lower myself down onto the third guy. Schora Star seemed to find her voice, snatching the towel and holding it as protection before her naked body. I can talk your ear off usually but when mr. Keep things light during the play. No matter where you are in the spectrum. I stopped just a millimeter or two from Merissa s face, holding still and gazing at her. He admitted that he was a little jealous so ann took his slippery cock in her mouth and started sucking on it. And of course a new, black lacy bra underneath with matching undies. The other couple will usually get dinner. When i had been given spiked drinks and left in the stags area. The wife knows that i love women and even though i love women i have never been unfaithfull to her even though the chances have been there it just isnt my thing. The barman humoured me.
To have her lover wantonly use her body for his own sexual pleasure. Eventually he comes back and walks over. If only that could be said of me. Selina took her other hand and cupped Batman s testicles, gently caressing them. Re swingers who cheat. Sachsen-Anhalt Evening meal in the hotel and watch a couple of porn dvd s i bought a few days back but hadn t had the chance to watch yet. And sensuously wrapping one leg around him as he stood so tall and firm against her. Uncut are more likely to carry bacteria so can increase the likelihood of developing yeast infections. You can put your cloths into this locker, She said as she opened a specific locker and withdrew a pink silk rob and continued, Then you can put this robe on and I will take you to your first appointment. I believe that separating sex from romantic love is not the immense deal-breaker that you might think. Bimbo and hide a raging hard-on at the same time. We talked about everything from rap to opera. Dave started eating the banana as I pushed it out. Mad i know but she can t stop thinking about him. She can show all her butt as long as the crack is covered or has something in it like a wedgie or a thong. Joe took snaps as todd walked around with the video camera. I sat back in one of the chairs close by to watch my best friend fuck my girlfriend raw. I admired her tight ass as the bottom of the skirt that she wears swishes against the leather of her sexy boots. So what happened on the very first day. She was in her 50 s. I d be doing both you and my patient a disservice if I didn t try to explain to you that the person you refer to as quote, my wife, unquote, is much, much more than that. He pursued the contact although it appeared that she was not interested in changing partners. He was unbuttoning her blouse as he returned to kissing her lips and earlobes and neck.


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3432 Stoney Rd
Rocklin, CA 95765
- Home, 3 beds 2 baths, 1,246 sf, 5,536 sf lot
No agent description available.
- - Built 1989
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10/14/2016 Sold$318,900a year ago
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ATYRAU. KAZINFORM - It looks like a boom in construction in Atyrau region will not witness any signs of cooling-off this year, Kazinform reports.3 January 2018 17:20
ASTANA. KAZINFORM - Head of State Nursultan Nazarbayev has paid a visit to the Astanagenplan Research and Design Institute LLP in Astana today, Kazinform has learnt from the Akorda press service.14 November 2017 17:28
ASTANA. KAZINFORM The construction of the Big Almaty Ring Motor Road (BAKAD) will begin in March 2018, Kazinform correspondent cites Satzhan Ablaliyev, the Deputy Chairman of the Roads Committee of the Kazakh Ministry of Investment and Development.24 October 2017 18:05
KOKSHETAU. KAZINFORM - A glass suspension bridge is planned to be built in the mountains of the Burabai resort, Kazinform reports.4 October 2017 13:27
UST-KAMENEOGORSK. KAZINFORM - Spain's ARESOL Group will build a solar power plant in East Kazakhstan region, Kazinform reports.30 September 2017 09:25
ASTANA. KAZINFORM Head of State Nursultan Nazarbayev has visited the construction site of a Fitness and Health Center in Karasay district of Almaty region, Kazinform reports with reference to the Akorda press service.20 September 2017 20:47
ALMATY. KAZINFORM - Within the framework of his working trip to Almaty city, Head of State Nursultan Nazarbayev paid a visit to a new administrative and business center of Nauryzbaiskiy district, Kazinform has learnt from the Akorda press service.20 September 2017 15:37
ASTANA-TARAZ. KAZINFORM - Head of State Nursultan Nazarbayev has inspected a new bridge in Taraz city today, Kazinform has learnt from the Akorda's press service.18 September 2017 16:17
ASTANA. KAZINFORM - Construction of two schools is underway in Astana city, Kazinform has learnt from Elorda.info.26 July 2017 19:16
ASTANA. KAZINFORM Today at the Government session in Astana, the Minister of Investment and Development of the Republic of Kazakhstan, Zhenis Kassymbek, reported on the progress the Nurly Zhol infrastructure program implementation, Kazinform correspondent reports.25 July 2017 11:58
ASTANA. KAZINFORM Prime Minister of the Republic of Kazakhstan Bakytzhan Sagintayev has been reported on the progress in housing construction in Pavlodar region under the Nurly Zher program, according to the premier's website.21 July 2017 21:26
ASTANA. KAZINFORM - Yerzhan Kazanbayev, director of the Economy Sectors Development of the Ministry of National Economy, has revealed that 52 new educational institutions were commissioned across Kazakhstan, Kazinform reports.29 June 2017 15:07
ASTANA. KAZINFORM - WBA, IBF, WBC and IBO middleweight champion Gennady Golovkin will present a children's playground to his hometown Karaganda, Kazinform reports.8 June 2017 15:29
PETROPAVLOVSK. KAZINFORM - Construction of a 1,000-seat tennis center is underway in Petropavlovsk. The new sports facility is expected to be put into service in spring 2018, Kazinform reports.8 June 2017 10:30
ASTANA. KAZINFORM. Slow infrastructure construction hinders the development of the special economic zones as Kazakh Minister for Investments and Development Zhenis Kassymbek stated in a Government session, Kazinform correspondent reports.6 June 2017 12:39
ASTANA. KAZINFORM - President of Kazakhstan Nursultan Nazarbayev has visited a new terminal of the Astana International Airport today, Kazinform correspondent reports.31 May 2017 13:02
AKTAU. KAZINFORM - Construction of a new ice arena worth 4 billion tenge is about to begin in Aktau city, Kazinform correspondent reports.17 May 2017 09:41
ASTANA. KAZINFORM Construction of Expo 2017 sites will be fully completed in the middle of May. Chairman of the Board of Directors of National Company "Astana EXPO-2017" Akhmetzhan Yessimov told about it at a meeting chaired by the President of Kazakhstan Nursultan Nazarbayev, Kazinform correspondent reports.21 April 2017 13:56
ASTANA. KAZINFORM KZT740 were allocated for housing construction in the country in 2015, whereas the last year figure was KZT830bn, Kazinform correspondent reports.20 April 2017 20:47
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Determining the fair market price for your house can be a challenge for even the most diligent home seller. As such, it is important to conduct plenty of research before you add your house to the real estate market. Home sellers who perform comprehensive research into the real estate market can find out how similar houses are priced and plan accordingly. Furthermore, home sellers will be able to assess the real estate market in general and get a better idea about how homebuyers may view their residences. Ultimately, it is paramount for a home seller to consider a number of factors to ensure he or she lists a residence at a fair price, including: 1. The Home's Condition A two-bedroom home that requires extensive repairs likely will sell for less than a similar two-bedroom house that has been well maintained over the years. As a result, you'll want to look closely at the condition of your house, and if necessary, complete any home repairs before you add your residence to the real estate market. To fully evaluate your house's condition, you may want to employ a home appraiser to evaluate your residence. This appraiser can help you identify potential home issues that may prevent you from maximizing the value of your house and ensure you can fix these problems quickly. 2. Your Timeline Are you looking to move out of your current residence and into a new house immediately? If so, you may want to consider a below-average price that helps your home stir up interest among a wide range of homebuyers. Conversely, if you're looking to optimize the sale price of your house, you may want to spend some time improving the interior and exterior of your home. By doing so, you'll be able to boost your chances of generating widespread interest in your residence among homebuyers. Consider your timeline as you prepare to list your residence. And remember, if you are in no rush to sell your house, you may be able to wait out homebuyers and ensure you receive an offer that fulfills your needs. 3. Potential Negotiations There are no guarantees that a homebuyer will offer you the asking price of your house, regardless of how long your residence has been available. But if you price your home and are willing to negotiate with a homebuyer, you may be able to improve your chances of a fast sale. For instance, a home seller who leaves is open to negotiations may be willing to settle for less than his or her initial asking price under the right circumstances. And if you work with a real estate agent, this professional could help you find many interested homebuyers in a short period of time. A real estate agent can help you handle any negotiations and ensure you are fully satisfied with any offer you accept. Therefore, this professional can play an important role in the home selling process and enable you to determine the best price for your residence as well. Dedicate the time and resources necessary to price your house, and you should be able to improve your home's chances of garnering interest from homebuyers far and wide.
A home listing often introduces a homebuyer to a residence. It may include home photos, a brief home description and details about various home features and amenities. As such, an effective home listing is a must-have, particularly for a home seller who wants to stir up plenty of interest in a residence.
Ultimately, there are several best practices to consider when you create a home listing, and these include:
1. Provide Accurate Information
Learn about your home, and you can provide accurate information about your residence in your home listing.
If you're unsure about your home's condition, it often pays to complete a home appraisal. That way, a property appraiser can evaluate your residence both inside and out, identify any problem areas and offer a property valuation.
Furthermore, if you recently completed assorted home improvements, you should include information about these upgrades in your home listing.
Whether it's new windows that you installed throughout your residence or an updated home air conditioning system, including details about various home upgrades in your home listing could help your residence stand out to potential buyers.
2. Include High-Quality Photos
You don't need to be a professional photographer to capture high-quality photos of your house. In fact, many smartphones and tablets feature first-rate cameras, and you can use these mobile devices to take photos of your house's interior or exterior.
As you photograph your home, remember the homebuyer's perspective. For instance, a homebuyer likely wants to see photos of a clean, pristine kitchen and other awe-inspiring images of your house. If you clean and declutter your house before a photo shoot, you can increase the likelihood that your home photos will capture homebuyers' attention.
On the other hand, if you want professional assistance, you can always reach out to a real estate photographer as well. A real estate photographer can offer home photo recommendations and suggestions and help you capture photos that show off the true size and beauty of your residence.
3. Collaborate with a Real Estate Agent
A real estate agent knows what it takes to craft an effective home listing. Therefore, if you collaborate with a real estate agent, you should have no trouble creating a home listing that hits the mark with homebuyers.
Typically, a real estate agent will meet with you, learn about your home selling goals and plan accordingly. He or she then will use the information that you provide to develop an engaging home listing.
With a real estate agent at your side, you can seamlessly navigate the home selling journey too.
For instance, a real estate agent will host open houses and set up home showings to promote your residence to homebuyers. Plus, he or she will keep you up to date about any home offers and provide expert advice at each stage of the home selling journey.
Creating an effective home listing may seem difficult. Fortunately, if you use the aforementioned best practices, you can craft a home listing that can help you generate substantial interest in your residence.
Want to boost your home's value? Completing home improvement projects enables you to do just that, as you can perform these tasks regularly to maximize the value of your residence. So which home improvement projects should you prioritize? Here's a closer look at three important home improvement tasks that every home seller should consider: 1. Painting the walls. Picking up a can of paint and various paint supplies ensures you can revitalize the walls in any room of your home instantly. Over an extended period of time, the paint on your home's walls may start to chip or peel. However, adding a fresh coat or paint (or two) to your residence's walls serves as an inexpensive way to transform bland, unattractive walls into visually appealing ones. Devoting even a few hours to paint the walls of your home can help you boost your home's value. And ultimately, your new paint job may allow you to receive multiple offers at or above your asking price, too. 2. Installing a water filtration system. Does your kitchen have a water filtration system? If not, you could be missing out on a golden opportunity to increase your residence's value. A water filtration system offers multiple benefits, as it ensures a homebuyer won't necessarily have to worry about buying bottled water if he or she purchases your residence. Plus, this system is one of many features that may help differentiate your home from others in a highly competitive real estate market, thus making your residence that much more appealing to homebuyers. Installing a water filtration usually is fast and easy as well. Furthermore, you won't have to worry about breaking your home improvement budget to complete this project. 3. Cleaning up the front lawn. High grass and weeds will damage your home's curb appeal and may significantly reduce your chances of a quick sale. On the other hand, spending some time mowing the lawn, raking leaves and performing other essential front lawn care tasks can deliver long-lasting benefits. A clean front lawn likely is one of the first things a homebuyer will notice about your home. And home sellers who are committed to maintaining a pristine front lawn can improve their home's value and their chances of a quick sale. Also, maintaining your front lawn can be easy if you spend even an hour per day performing yard work. Or for those who want to avoid lawn work altogether, professional landscapers typically are available that can keep your front lawn in great shape until your home sells. As a home seller, you'll want to take the necessary steps to up your home's value before you add your home to the real estate market. And with any of the aforementioned home improvement projects, you'll be better equipped to boost the value of your home quickly and efficiently. Stay focused on increasing your home's value consistently and keeping your residence in excellent shape. By doing so, you'll be able to keep your eyes on the prize maximizing your home's value and selling your residence to the highest bidder.
If youre trying to sell your home, there are many things you need to think about. One of the reasons that its wise to hire a realtor is that they can handle a lot of the difficult stuff for you. From home showings to phone calls to sealing the deal, your realtor will be with you every step of the way.
One thing that you can do to help your realtor out is trying to avoid things that will scare off buyers in your home. While some things are out of your control (were looking at you radon), you can check and remedy a lot of problems before a buyer even sets foot in your home.
Roofs last around 20-25 years. If its been forever since you have paid attention to your roof, youll need to take a second look before selling. Your buyer is going to either ask for some kind of rebate or go for a home with a newer roof. Roofs are one of the things that home inspectors often see the most problems with.
If your gutters are in disrepair, you might want to have them cleaned or replace them altogether. Faulty gutters are often what causes problems with the roof. If rain water or snow melt cant properly drain from the gutters, more leaks may be found in the home.
If your appliances are outdated, consider replacing them. Buyers dont want to move into a new home only to need to head out to buy a new refrigerator, range, or dryer. Buyers like things to be ready for them, and theyre willing to pay for it. Youll definitely get a return on your investment when you buy new appliances.
Its important to keep up with regular maintenance when it comes to your heating and cooling system. Keep it clean and keep regular maintenance appointments. These systems are costly to repair and buyers do not want to deal with these issues immediately (or ever if they could avoid them!) Get the HVAC system serviced before you put a for sale sign out front to keep your buyers happy throughout the inspection and sale process.
Your realtor will be a big help in assisting you to price your home right. They will perform a CMA (comparative market analysis) in order to help you find the sweet spot for pricing your home. An overpriced listing will make buyers wonder. A property must be priced right in order to get buyers through the door to even look at the home.
If you want to move to a new address as quickly as possible, there is no need to wait to add your current residence to the real estate market.
However, listing a house sometimes can be difficult, particularly if you're getting ready to compete against dozens of home selling rivals in a crowded housing sector.
So what does it take to list a house and get the best results quickly? Here are three tips to help home sellers generate interest in their residences as soon as these properties become available.
1. Analyze the Current State of the Real Estate Market
Examine the prices of available homes that are similar to your own. This housing market data will help you understand how your house ranks against the competition.
Also, take a look at the prices of recently sold residences in your city or town. With this housing market data at your disposal, you can determine a price range for your residence.
Don't forget to complete home interior and exterior improvements as needed, either. By doing so, you may be able to help your house stand out from the competition and increase the likelihood of a quick home sale.
2. Conduct a Home Appraisal
A home appraisal may require just a few hours to complete, but its benefits can last a lifetime.
Ultimately, a home appraisal enables a property inspector to evaluate your residence both inside and out. After the appraisal is complete, a property inspector will provide you with a comprehensive report that describes your house's strengths and weaknesses.
When it comes to selling a house, performing a home appraisal is vital. This appraisal will help you identify what makes your great and problem areas with your house so you can map out your home selling journey accordingly.
3. Collaborate with a Real Estate Agent
If you're in a hurry to sell your house, you'll definitely want to hire a real estate agent.
A real estate agent understands what it takes to list a house, set up home showings and open houses and promote a residence to the right groups of homebuyers consistently. In addition, this housing market professional can negotiate with homebuyers on your behalf, ensuring you can boost your chances of getting the best price for your home.
Perhaps best of all, a real estate agent is happy to provide unbiased home selling recommendations. This housing market professional is unafraid to share honest feedback about your home so you can do whatever it takes to streamline the home selling process.
Lastly, a real estate agent is available to respond to any of your home selling concerns and questions. This means you can get the expert support you need to make informed decisions as you navigate the home selling journey.
Even though you may be in a rush to sell your house, but there is no need to settle for subpar results as you prepare to list your residence. Instead, take advantage of the aforementioned tips, and you can should have no trouble accelerating the home selling process.


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Business Heard by Congress – new 1099 Requirements Overturned
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Rejoice – Congress Overturns Enhanced 1099 Reporting Requirements
Anderson Business Advisors, PLLC
In response to overwhelming objections from business leaders, business organizations and accounting professionals nationwide complaining about the tax compliance burden these new requirement impose on taxpayers, particularly small businesses, Congress has repealed these requirements.
For Rental Owners – The new requirement for rental owners to report annual payments of $600 or more to service providers, such as a pool service person, handyman, gardener, management company and other unincorporated service providers effective for the 2011 and future tax years.
For Business Owners – The new requirement to include incorporated entities in the business 1099 reporting requirements and expanding the scope to include purchases in addition to payment for services. This provision was to become effective for the 2012 and subsequent tax years.
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As the focus on new educational models and coding bootcamps continues to attract attention (rightly or wrongly) as a cure for the world's economic woes, Ironhack, a coding bootcamp with campuses in Madrid, Barcelona, Paris and Miami, has snagged $3 million in financing. Madrid-based JME Venture Capital led the round, which will be used to set
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The HeartThis Shopping app is a FREE way to put all your favorite stores in one place. Save things you'd love to buy in women's clothing and accessories, and we'll let you know when they go on sale. Keep on saving, and your app will get smarter!
1) PERSONALIZE your shopping experience. Follow your favorite women's clothing, accessories, home, beauty categories, people, and stores to see the latest fashion trends and sales from your favorite stores.
2) SAVE things you like. Create wishlists. You can browse by category, store, or what's trending. Keep on saving, and your app will get smarter!
3) GET SALES ALERTS. We'll notify you when things go on sale or when your shopping stores have coupons and deals. No need to keep checking your favorite stores over and over.
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HeartThis is the #1 app shopping mall with millions of items in fashion trends. Clothing from Brandy Melville, J.Crew, Lilly Pulitzer, ASOS). Women's clothing, like dresses, tops, skirts, designer bags (Michael Kors, Coach, Kate Spade), beauty (Ulta, Sephora, Bath & Body Works), shoes (Sam Edelman, Nike, Adidas), sneakers, accessories, makeup, beauty, and home decor. Browse and save, find women's clothes, women's shoes, women's bags on clearance or sale. It's easy shopping, coupons at your fingertips!
The HeartThis app is designed by women for women.
You can access HeartThis from any device (Android phone, tablet, and computer). Send any feedback to firstname.lastname@example.com! Thanks :)


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Don't miss out on a lower price on this hotel
Get an overview of this hotelDelightful beach hotel with a spa tub
Popular property highlights
Located in Golfo Aranci, this beachfront hotel is in the city center and within 1 mi (2 km) of Capo Figari Nature Park, Port of Golfo Aranci, and Milis Sacred Well. La Marinella Beach and Sos Aranzos Beach are also within 6 mi (10 km).
Hotel Features
At Gabbiano Azzurro Hotel & Suites, hit the private sand beach, dine onsite at The White Restaurant, or enjoy a drink at one of the hotel's 2 bars/lounges.
Room Amenities
All 80 rooms feature modern comforts like flat-screen TVs with satellite channels, along with free WiFi. Guests will also find furnished balconies, minibars, and room service.Information missing or incorrect? Tell us! Opens in a new window.
Gabbiano Azzurro Hotel & Suites
Hotel Amenities
Hotel Amenities
Simply walk outside to feel the sun on your face at the sand beach. Spend the day at the beach and work on your tan with sun loungers (chaise longues) or relax in the shade with umbrellas. After a day at the beach, enjoy amenities at Gabbiano Azzurro Hotel & Suites like an outdoor pool, a children's pool, and an outdoor tennis court.
Guests can enjoy a complimentary breakfast. Dining is available at one of the hotel's 2 restaurants. The property also offers a snack bar/deli. Guests can unwind with a drink at one of the hotel's bars, which include 2 bars/lounges, a beach bar, and a poolside bar. Public areas are equipped with complimentary wireless Internet access. This Mediterranean hotel also offers a spa tub, a rooftop terrace, and a garden. Onsite self parking is complimentary.
- Express check-in
- Library
- Babysitting or childcare
- Elevator/lift
- 24-hour front desk
- Poolside bar
- Business center
- Porter/bellhop
- Express check-out
- Free self parking
- Dry cleaning/laundry service
- Outdoor pool
- On private beach
- Luggage storage
- Train station pickup (surcharge)
- Concierge services
- Gift shops or newsstand
- Snack bar/deli
- Outdoor tennis court
- Total number of rooms - 80
- One meeting room
- Number of floors - 3
- Number of buildings/towers - 1
- Airport transportation (surcharge)
- Barbecue grill(s)
- Beach bar
- Rooftop terrace
- Number of bars/lounges - 2
- Beach umbrellas
- Free breakfast
- Tours/ticket assistance
- Year Built 1968
- Beach sun loungers
- Free WiFi
- Pool sun loungers
- Babysitting or childcare (surcharge)
- Outdoor seasonal pool
- Children's pool
- Safe-deposit box at front desk
- Area shuttle (surcharge)
- Free long-term parking
- Number of restaurants - 2
- Laundry facilities
- Beach towels
- Spa tub
- Television in common areas
- Wedding services
- Garden
- Multilingual staff
- Free newspapers in lobby
Family Friendly Amenities
- Family Hotel
- On private beach
- Outdoor pool
- Children's pool
- Free Wi-Fi
- Outdoor tennis court
- Snack bar/deli
- Laundry facilities
- Babysitting or childcare (surcharge)
- Cribs/infant beds (complimentary)
Available in all rooms: Free WiFi
Available in some public areas: Free WiFi
Free long-term parking, Free self parking
Room Amenities
- Towels provided
- Linens provided
- Premium bedding
- Furnished balcony
- In-room climate control (air conditioning)
- Air conditioning
- Phone
- Minibar
- Daily housekeeping
- Turndown service
- Private bathroom
- Free toiletries
- Hair dryer
- Bidet
- Rainfall showerhead
- In-room safe
- Desk
- Blackout drapes/curtains
- Satellite TV service
- Flat-panel TV
- Free WiFi
- In-room massage available
- Room service (limited hours)
- Connecting/adjoining rooms available
- Free cribs/infant beds
- In-room climate control (heating)
Where to Eat
A complimentary breakfast is offered.
The White Restaurant - This beachfront restaurant specializes in Italian cuisine and serves breakfast, lunch, and dinner. Open daily.
Blu Restaurant - This beachfront fine-dining restaurant specializes in Italian cuisine and serves dinner only. Guests can enjoy alfresco dining (weather permitting). Open daily.
Room service (during limited hours) is available.
Nearby Things to Do
A private beach and an outdoor tennis court are featured at the hotel. An outdoor pool, a children's pool, and a spa tub are on site.
The recreational activities listed below are available either on site or nearby; fees may apply.
- Bicycle rentals nearby
- Snorkeling nearby
- Mountain biking nearby
- Hiking/biking trails nearby
- Windsurfing nearby
- Sailing nearby
- Scuba diving nearby
- Scooter/moped rentals nearby
If you have requests for specific accessibility needs, please note them at check-out when you book your room.
- Accessible bathroom
- In-room accessibility
Hotel Policies
Check-in time starts at 3 PM
Check-in time ends at 3 AM
Special check-in instructions:
Check-out time is 11 AM
Payment types
Children and extra beds
- Children are welcome.
- Rollaway/extra beds are not available.
- Free cribs (infant beds)!
- Pets allowed
- Restrictions apply
- For more information contact the property at the number on the booking confirmation
You need to know
Extra-person charges may apply and vary depending on property policy.
- A tax is imposed by the city: EUR 2 per person, per night. This tax does not apply to children under 6 years of age.
- Resort fee: EUR 30
- Beach access
- Beach loungers
- Beach towels
Optional extras
- Airport shuttle fee: EUR 50 per vehicle (one way)
Hotel Name
- Gabbiano Azzurro
- Gabbiano Azzurro Golfo Aranci
- Hotel Gabbiano Azzurro
- Hotel Gabbiano Azzurro Golfo Aranci
- Hotel Gabbiano Azzurro Sardinia/Golfo Aranci, Italy
- Gabbiano Azzurro Hotel Golfo Aranci
- Gabbiano Azzurro Hotel
We should mention
All guests, including children, must be present at check-in and show their government-issued photo ID card or passport. Cash transactions at this property cannot exceed EUR 2999.99, due to national regulations. For further details, please contact the property using information in the booking confirmation. Only registered guests are allowed in the guestrooms. The property has connecting/adjoining rooms, which are subject to availability and can be requested by contacting the property using the number on the booking confirmation. Some facilities may have restricted access. Guests can contact the property for details using the contact information on the booking confirmation. Guests can arrange to bring pets by contacting the property directly, using the contact information on the booking confirmation.
Special Offer
Book a stay in any room or rate category for travel May 1st to June 25th or September 2nd to October 31st, and receive free beach equipment (sun beds and beach umbrellas).
Full details at check-in. Offer subject to availability. Offer is not valid with groups/conventions and may not be combined with other promotional offers. Other restrictions and blackout dates may apply.
Get an extra 10% off or more!
See if this hotel is eligible for member pricing
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Anderson West. Living Room. November 11th , 2017.
Classic Living Room Decorations. The picture shows the white soft color with the classic living room furniture. The white decoration of this living room is look real because the combination of the color paint decoration blends with the old style furniture of this living room inspiration. The luxury home decorations pictures of living room decoration are show the huge lighting that supports the living room look classic.
Super Luxury Dining Room. You'll set word "wow" when you enter the dining room. This room is designed with handmade marble inlays for the 12-foot-long dining table and a special ceiling detailed with rare Moroccan cantera stone. The french doors give the best shades for the room. This room is a spacious dining room with such detail in spanish colonial design.
Spare the floor coverings and wall treatments. A simple area rug on a hard-surface floor would just be perfect. Paint the walls in one color. Choose a soothing neutral color to get a minimalist look.
How To Decorate Your Living Room In Minimalist Style. Furnishings are to be kept simple in terms of construction, ornamentation and look. Pick up only the best needed things for the living room. Footstools, occasional tables, plant stands and spare chairs can be excluded from the purview. Choose sofas and easy chairs that are plain and simple. You can go for chairs with curved backs and straight legs.
Recent Posts
Monthly Archives
Any content, trademark/s, or other material that might be found on this site that is not this site property remains the copyright of its respective owner/s. In no way does CABSLK claim ownership or responsibility for such items, and you should seek legal consent for any use of such materials from its owner.


text: HomeMain StreamMeek Mill Ft. Spade O – 'Pound Cake' Freestyle Dame DizzleOctober 8, 2013 Shares0 Previous post [VIDEO]: Dom Kennedy 'Get Home Safely' Documentary Next post Tyler the Creator "Tamale" Your Might Also Like Lud Foe Raps Emotional Open Letter to Future Son and Baby Mother, Announces 'Boochie Gang' Mixtape On The Way January 18, 2018 Jay Z's Best Kept Secret, Gashi Drops Video For "Used To Be" January 18, 2018 Ty Dolla $ign Returns With New Visual For "EX" feat. YG January 18, 2018 Watch DJ Premier & A$AP Ferg Bring "Our Streets" To MTV's TRL For A Live Performance January 18, 2018 Justin Timberlake – Supplies [Video] January 18, 2018 Load all comments More in Main Stream Gucci Mane Feat. Young Thug – "Panoramic Roof" [Audio] June 11, 2014


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después de 17 años de comercialización, la realidad muestra lo contrario. Los principales cultivos transgénicos no están destinados para ali...
Bartender, There's Seaweed in My Beer - Modern Farmer
Gallon Conical Fermenter - if this works with the Cool Zone jacket, it would be a much better solution than a carboy or Better Bottle.
Drop Biscuits with Cheddar Mustard Greens sauteed mustard greens by Marisa
Here's what years of breeding has done to corn, peaches, and other crops - Vox
The Huckleberry owner shares her neighborhood favorites.
LARGE Emulsion (Food Science) Print featured in Top Chef Masters -
United has purchased 15 million gallons of renewable jet fuel made from beef tallow, or fat, by Alt Air Fuels and plans to use the fuel this year for Los Angeles-to-San Francisco flights.


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Just in case any evidence was needed that employees take their coffee extremely seriously, an email outlining in fastidious detail the last known whereabouts of a worker's favourite mug has gone viral.
Rio Tinto worker Edmund Lim's coffee mug went missing from his Perth office while he was taking a toilet break, and hasn't been seen since.
Lim was so infuriated about the mug's disappearance that he sent his workmates a hostile email, complete with a meticulously laid-out timeline of events.
The email begins: "Sometime after 10.30 this morning, my coffee cup was stolen," Lim wrote.
"The details are as follows.
1. I brought my cup to the men's washroom
2. I left it next to the washroom sinks
3. I then proceeded to use the bathroom stall
4. In that time, I know someone entered and exited the room, and I know after that person used the urinal, they grabbed a few pieces of paper towel
5. I exited the bathroom stall afterwards
6. My cup was then missing."
Lim went on to apologise if the email sounded "trivial" but affirmed that the cup was a "personal item". He then attached a picture of the colourful mug in a bid to track it down. "I cannot believe the audacity of someone to do that. It is rather a nice cup," Lim also quipped.
The email, which evoked much amusement among Lim's colleagues, went viral a month later, bouncing its way around Australian inboxes before going global.
All is well again though, Lim has since been reunited with the colourful cup.
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Category:Film directors from Georgia (country)
|Wikimedia Commons has media related to Film directors from Georgia.
This category has only the following subcategory.
Pages in category "Film directors from Georgia (country)"
The following 44 pages are in this category, out of 44 total. This list may not reflect recent changes (learn more).


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Visualising income inequality
From the New York Times, a set of slope graphs comparing countries over a 30-year period at five points in the distribution.
The headline is a bit exaggerated — the US seems to be retaining its lead at the 80th percentile — but the graph is good.
From Jim Savage (on Twitter), income of top 1% or top 5% as multiple of income for bottom 90%
Looking into the top few percent is tricky because the definition of 'income' becomes flexible. As Matt Nolan pointed out a few years ago, there was a big increase in the 1%'s share of US income in 1986, which is due at least in part to the Tax Reform Act making tax evasion less advantageous and so increasing reported taxable income.
Thomas Lumley (@tslumley) is Professor of Biostatistics at the University of Auckland. His research interests include semiparametric models, survey sampling, statistical computing, foundations of statistics, and whatever methodological problems his medical collaborators come up with. He also blogs at Biased and Inefficient See all posts by Thomas Lumley »
Margaret Arnold
The Aussie graph just shows that the US story is not the story everywhere.
Richard Penny
Your point about tax changes affecting what data gets collected applies to NZ. I remember a couple of years ago reading an article by Susan St James about the rise in NZ Gini coefficient over time, particularly after 1984. She pointed out it is based on income data reported to the IRD. Thus a change in the top rate from about 60% to 45% is going to change what people are going to declare.
A general point is when comparing data over time to be aware that the data collection process is more likely to change with administrative data than with an on-going survey.


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This class is intended for beginning and intermediate painting students. Instructor will give demos each week, in which students will be introduced to a variety of techniques in watercolor, acrylic and gouache. Class time will then be spent exploring these new methods and media in a fun and supportive environment.
Course Name:
Painting Techniques
Instructor's name:
Meredith Roberts
Course Type:
6 weeks; class meets once a week for 1.5 hours
Class time:
January 17 - February 21, Wednesday, 1-3:30pm (9 hours of instructional time)
$60 members; $85 non-members
18 years old and up
Supply Included:
Between $50-100. Students will need to purchase supplies each week from the SCA based on the weekly demo; they may also purchase their own supplies and bring them to class (a list will be available). Easels and other basic equipment will be available to students during class time.
To RSVP please fill out our registration form here or call us at 405-744-1535.


text:
Please answer the following questions in complete sentences in a typed manuscript and submit the solution on blackboard by on March 7th at noon. (These will be back before the midterm.)
Please identify anyone, whether or not they are in the class, with whom you discussed your homework. This problem is worth 1 point, but on a multiplicative scale.
Make sure you have included your source-code and prepared your solution according to the most recent Piazza note on homework submissions.
Construct a trapezoidal-like formula which is exact for and .
Does this formula integrate constants exactly?
(Ignore part (b) if you are looking at the book.)
The Gaussian quadrature rule for the Chebyshev weight function is known to be: where Use this fact to show that the unit disk has area .
In this problem, we'll study how different quadrature methods converge on a variety of problems. For a technical paper on this idea, see Trefethen, Is Gaussian Quadrature better than Clenshaw-Curtis? SIAM Review, 2008. In this problem, we'll be studying and reproducing Fig. 2 from that paper.
The functions are all defined on the region and are:
The quadrature methods are:
Monte Carlo quadrature. Monte Carlo quadrature is a randomized method. We simply guess points between uniformly at random and then take the average of all the function values. For instance, the following Julia code evaluates a Monte Carlo approximation
function montecarlo(f::Function, n::Int, a::Float64, b::Float64)
assert(a < b)
xi = (b-a)*rand(n)+a
fi = mean(f(xi))
Clenshaw-Curtis quadrature. This quadrature uses Chebyshev points of the second kind to build an interpolatory quadrature formula instead of uniformly spaced points (as is common in Newton-Cotes quadrature). It just so happens that there is an incredibly elegant method to compute the weights associated with this quadrature based on the Fast-Fourier transform. See Trefethen's paper above for a 6-line Matlab code that implements Clenshaw-Curtis quadrature.
Gauss-Legendre quadrature. In Gauss-Legendre quadrature, we pick the quadrature nodes and weights together. This gives even more accuracy. To find these nodes and weights, we must evaluate the eigenvalues and one component of each eigenvector of the Jacobi matrix associated with the Legendre orthogonal polynomials. The Jacobi matrix for these polynomials is easy: The size of the matrix should be if you want an -point formula. To get the nodes, we just look at the eigenvalues of the matrix. To get the weights, we need to get the first component of each eigenvector, and square it. (Hint: see Trefethen's paper for a simple Matlab code.)
By whatever method you want, determine the exact values of these 6 integrals. (Hint: Wolfram Alpha is okay!)
Write a program to create the Jacobi matrix for Gauss-Legendre quadrature and show the eigenvalues of the matrix for .
Implement a computer program for Clenshaw-Curtis quadrature. (Hint: you can copy Trefethen's routines, with attribution) but you must explain the steps. Julia implementations are advisable too.
Implement a computer program for Gauss-Legendre quadrature.
Note that the Monte Carlo method is a randomized algorithm, so the result will change if you do it again. Each run is called a trial or sample. Use a computer implementation of Monte Carlo integration to how much the values in a Monte Carlo integration can vary between one trial and the next. Compute the variance for and samples for each of the above functions.
Prepare 6 figures like Trefethen had in his paper for the 6 functions. Except use Monte Carlo integration instead of Newton-Cotes.
Empirically determine how computing the Gaussian Quadrature nodes and weights scales as a function of , the number of points, in terms of CPU time. (Hint, consider between and .) You should be able to justify your final scaling constant in terms of the runtime of a known algorithm.
There are some recent developments in fast quadrature methods that
produce the nodes and weights much more quickly. In Julia, these are
implemented in the
FastGaussQuadrature package and the
gausslegendre function
and in Matlab, the function
legpts.m from Chebfun implements them (an old simple version is here:
Determine the simplest equation that describes the
empirical scaling for these routines to find the quadrature
points and weights. (Hint, consider between and .)