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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.

Clearly and neatly show all work for each problem Round all final answers to thenearest dollar Do not round intermediate workFitzwilliam is buying a new car The class=

Respuesta :

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

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