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24 votes
6. Ria purchased a car for

$14,775. Sales tax in her
county is 6.8%.
a. What is the total price of
the car including tax?

b. If she puts $2,100 down,
how much will she be
financing?

c. What will her monthly
payment be if the term of
the loan is 72 months with
an APR of 3.5%?

User Bmscomp
by
4.3k points

1 Answer

10 votes

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Answer:

a) $15,779.70

b) $13,679.70

c) $210.92

Explanation:

a) When tax is added, the total cost is ...

total = price × (1 +tax rate)

total = $14,775 × 1.068 = $15,779.70

__

b) The amount financed is the difference between the total cost and the down payment.

financed = total - down35

financed = $15,779.70 -2100 = $13,679.70

__

c) The monthly payment is found using the amortization formula. It can also be found using any of a number of financial calculators, spreadsheets, or apps.

A = P(r/12)/(1 -(1 +r/12)^-n) . . . . annual rate r, n monthly payments, principal P

A = $13,679.70(0.035/12)/(1 -(1 +0.035/12)^-72) ≈ $210.92

User Charlie OConor
by
4.5k points