Answer:
The final price of the car is $26569.20.
Step-by-step 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.
[tex]=25599-\frac{3}{100}\times 25599[/tex]
[tex]=25599-0.03\times 25599[/tex]
[tex]=25599-767.97[/tex]
[tex]=24831.03.[/tex]
The price after discount = $24,831.03.
Now, including sales tax 7% on $24831.03.
$24,831.03 + 7% of $24,831.03.
[tex]=24831.03+\frac{7}{100} \times 24831.03[/tex]
[tex]=24831.03+0.07 \times 24831.03[/tex]
[tex]=24831.03+1738.17[/tex]
[tex]=26569.20[/tex]
The price after including sales tax = $26569.20.
Therefore, the final price of the car is $26569.20.
