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Question 3 • LVA - Mathematical Modeling - Spring

Interest per every $100 financed# of Monthly PaymentsAnnual Percentage Rate (APR) 11%11.5%12%12.5%13%13.5%14%14.5%15%2411.8612.4212.9813.5414.1014.6615.3215.8016.372512.3512.9313.5214.1014.9615.2815.8716.4617.06You plan on financing a home theater system for $1,752. The audio shop offers a 15% APR for a 25 month loan. Use this information, and the table above, to determine the monthly payments. Round your answer to the nearest cent.

Answer
A
$29.89
B
$70.08
C
$82.04
D
$85.32

Explanation

At 25 monthly payments and 15% APR, the table gives $17.06 in interest per $100 financed. The $1,752 loan contains 17.52 groups of $100, so the total interest is 17.52 × $17.06 = $298.89. Add this to the amount financed and divide by 25: ($1,752 + $298.89) ÷ 25 = $82.04 per month. The correct choice is $82.04.

AI-written and checked against the verified answer.

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