Question

The new car you wish to purchase has a sticker price of $25,599. The dealer is willing to give a 3% discount off this sticker price. The sales tax on the car is 7.0% of the purchase price. What is the final price of the car including all discounts and sales tax? Round your answer to the nearest cent.

Answer 1

The final price of the car is $26569.20.

Explanation:

Given:

The new car you wish to purchase has a sticker price of $25,599.

The dealer is willing to give a 3% discount off this sticker price.

The sales tax on the car is 7.0% of the purchase price.

Now, to find the final price of the car including all discounts and taxes.

So, we get the price after discount first:

$25,599 - 3% of $25,599.

`=25599-(3)/(100)* 25599`

`=25599-0.03* 25599`

`=25599-767.97`

`=24831.03.`

The price after discount = $24,831.03.

Now, including sales tax 7% on $24831.03.

$24,831.03 + 7% of $24,831.03.

`=24831.03+(7)/(100) * 24831.03`

`=24831.03+0.07 * 24831.03`

`=24831.03+1738.17`

`=26569.20`

The price after including sales tax = $26569.20.

Therefore, the final price of the car is $26569.20.