12
QuizMultiple Choice

Financing a Car

Question 12 • 26-27 Ignite Technical Math-Financial Math - MA2007

Bernie has decided to purchase a new car with a list price of $18,575. Sales tax in Bernie’s state is 7.40%, and he will be responsible for a $795 vehicle registration fee and a $110 documentation fee. Bernie plans to trade in his existing car, a 1999 Buick Riviera in good condition, and finance the rest of the cost for five years at an interest rate of 12.77%, compounded monthly. Assuming that the dealer gives Bernie the listed trade-in price for his car, what will his monthly payment be? Round all dollar values to the nearest cent.Buick Cars in Good ConditionModel/Year19981999200020012002Century$929$1,086$1,150$1,488$1,595LeSabre$2,075$2,282$2,690$2,935$3,374Regal$1,676$1,794$2,030$2,214$2,566Riviera$1,291$1,455$1,520$1,814$1,959

Answer
A
$472.05
B
$439.12
C
$438.20
D
$518.23

Explanation

The 1999 Riviera trade-in value is $1,455. Sales tax on the $18,575 car is $18,575 × 0.074 = $1,374.55, so the amount financed is $18,575 + $1,374.55 + $795 + $110 − $1,455 = $19,399.55. The monthly interest rate is 0.1277 ÷ 12, and there are 60 monthly payments. Using the loan payment formula gives a monthly payment of about $439.12, matching the choice “$439.12.”

AI-written and checked against the verified answer.

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