Xiao Ming went to the mall to buy a TV with his parents, and they fell in love with a new TV with a price tag of 8,000 yuan. Dad said to the salesman: "Is it okay to get a 20% discount?" The salesman thought for a while and said: "Well, let's increase the price by 5% according to what you said, and free packages, installation packages and debugging are included." Dad readily agreed: "OK , then let’s do it like this.” Calculate how much Xiao Ming’s family will actually pay for this new TV?
小明和爸爸妈妈一起去商场买电视，他们看上了一台标价8000元的新款电视．爸爸对销售员说："打八折行吗？"，销售员想了想说："这样，按你说的价格增加5%吧，包送包安装包调试．"爸爸爽快的答应："行，那就这样吧．"算算小明家买这款新电视实际要付多少元？
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>

<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>

<gadget id="calculator">1 + (1/20)</gadget>
<output>21/20 = around 1.05</output>

<gadget id="calculator">8_000 * (4/5) * (21/20)</gadget>
<output>6_720</output>

<result>6_720</result>