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ycow [4]
2 years ago
10

Reg has just purchased a new car. The car had a list price of $22,499, and he was responsible for 7. 96% sales tax, a $2,138 veh

icle registration fee, and a $262 documentation fee. Reg’s financing has an interest rate of 10. 27%, compounded monthly, and a duration of three years. If Reg makes a monthly payment of $773. 89, which of the following was his down payment? Round all dollar values to the nearest cent. A. $2,000 b. $2,200 c. $2,500 d. $2,800 Please select the best answer from the choices provided A B C D.
Business
1 answer:
charle [14.2K]2 years ago
5 0

The down payment that would be paid by reg is $2,800.

<h3 /><h3>What is a down payment?</h3>

A down payment is the first partial payment for the purchase of price expensive items or services, such as a car or a house. It is usually paid off in cash or equal at the time of finalizing the transaction. A loan of some kind is then asked to finance the remainder of the payment.

<u>Computation </u><u>of a down Payment:</u>

<u />

According to the question,

The total amount of car would be:

\text{List Price + Sales Tax + Registration Fee + Documentation Fee}\\\\\$22,499+\$1,791+\$2,138+\$262 = \$26,690.

r= 10.27%,

r=\dfrac{10.27}{12\times100}\\\\\\r= 0.00855833 ,

t= 12\times3\text{Years}=36 \text{Months}.

Monthly Payment = $773.89.

Let X be the amount of payment that is given in the starting.

\text{Monthly Payment} = \dfrac{\text{(List Price - x) r }}{1-(1+r)}}\\\\\\\$773.89 = \dfrac{(22,49-\text{x )0.0085533}}{1-(1+0.0085533)}\\\\\text{x}=$23889.84

The amount of down payment would be:

\text{Down Payment}=\text{Total Amount - Down Payment}\\\\\\\text{Down Payment}=\$26,690-\$23889.84\\\\\text{Down Payment}=\$2,801 \text{App.}

Hence, Option D is correct.

Learn more about the down payment, refer:

brainly.com/question/1114543

<u />

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