Clearly and neatly show all work for each problem. Round all final answers to thenearest dollar. Do not round intermediate work.Fitzwilliam is buying a new car. The sticker price for the base model is $10,000,but the options he wants will cost him an extra 15%. He then talks the dealer intogiving him 10% off. Fitzwilliam has also decided to put down a 25% downpayment on the car.Find Fitzwilliam's down payment on the car.Find the balance that Fitzwilliam needs to finance.

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IzaacN251048 IzaacN251048 · Answer 1 · 2022-11-03T11:36:18+01:00

Given:

Sticker price of car = $10,000

His options will cost him extra 15% = 0.15

Percentage discount = 10% = 0.10

Down payment = 25% = 0.25

Let's solve for the following:

• (a). Find Fitzwilliam's down payment on the car.

Given that his options will cost him extra 15% and he got a percentage discount of 10%, the total amount he will pay for the car will be:

[tex]\begin{gathered} T=10000(1+(0.15-0.10)) \\ \\ T=10000(1+0.05) \\ \\ T=10000(1.05) \\ \\ T=10500 \end{gathered}[/tex]

The total cost of the car will be $10,500

Now, to find the down payment, we have:

Down payment = 25% of Tottl cost

Down payment = 0.25 x 10500

Down payment =2625

Therefore, his down payment s $2625

• (,b). Find the balance that Fitzwilliam needs to finance.

To find the amount he needs t balance, apply the formula:

Balance = Total cost - down payment

Balance = 10500 - 2625

Balance = 7875

Therefore, the balance he will need to finance is $7875

ANSWER:

(a). $2625

(b). $7875