Xiao Ming and his father went to the computer city to buy computers, and they fell in love with a new computer with a price tag of 8,000 yuan. Xiao Ming's father said to the manager: "Is it okay to get a 20% discount?" The manager thought for a while and said: "Add 5% to the price you said." In this way, how much did Xiao Ming's family actually pay for this new computer?
小明和爸爸一起去电脑城买电脑，他们看上了一台标价8000元的新款电脑．小明爸爸对经理说："打八折行吗？"，经理想了想说："你说的价格再加5%吧．"就这样，小明家买的这台新款电脑实际付了多少元？
<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>