#### Explanation:

To find the total price we can use the following formula:

$p = \left(\textcolor{red}{c} - \textcolor{g r e e n}{d}\right) + \left(\left(\textcolor{red}{c} - \textcolor{g r e e n}{d}\right) \times \textcolor{b l u e}{t}\right)$

Where:

$p$ is the price paid
$\textcolor{red}{c}$ is the cost of the CD at its usual price = color(red)($18.00) $\textcolor{g r e e n}{d}$is the amount of the discount which we need to calculate. $\textcolor{b l u e}{t}$is the tax rate = color(blue)(8%) First, let's calculate the amount of the discount. "Percent" or "%" means "out of 100" or "per 100", Therefore 10% can be written as $\frac{10}{100}$. When dealing with percents the word "of" means "times" or "to multiply". Putting this altogether we can write this equation and solve for $\textcolor{g r e e n}{d}$, the amount of the discount, while keeping the equation balanced: color(green)(d) = 10/100 xx$18.00

color(green)(d) = ($180.00)/100 color(green)(d) =$1.80

We now have all the values to substitute into the equation for the total price:

p = (color(red)($18.00) - color(green)($1.80)) + ((color(red)($18.00) - color(green)($1.80)) xx color(blue)(8%))

p = (color(red)($18.00) - color(green)($1.80)) + ((color(red)($18.00) - color(green)($1.80)) xx color(blue)(8/100))

p = $16.20 + (($16.20) xx color(blue)(8/100))

p = $16.20 + (($129.60)/100)

p = $16.20 +$1.30

p = \$17.50