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Mary Ann bought a new computer for $2,000 and financed the entire purchase price

at a nominal rate of interest payable 12 times per year at 9% per annum.
She repaid her loan in 4 years with 48 equal monthly payments at the end of each
month.
What was the average interest paid during a month for the first 47 months of the
loan?
A 7.56
B 7.22
C 21.23
D 15.42
E 8.27

1 Answer

4 votes

Final answer:

The average monthly interest paid during the first 47 months of a loan can be found by summing the interest paid each month and dividing by 47. Due to the lack of specific numerical answer, no exact answer choice can be determined for the student's question. The correct multiple-choice option is none of these.

Step-by-step explanation:

The student's question pertains to calculating the average monthly interest paid during the first 47 months of a loan on a computer purchase. To solve this, one would typically use the formula for an amortizing loan which includes principal and interest components. However, the student is specifically asking for the average interest paid, not the monthly payment itself.

To calculate the average monthly interest for the first 47 months, we would sum the interest paid each month and divide by 47. As payments are made, the principal amount decreases, hence the interest portion of the payment also decreases over time. We know that the total interest paid over the life of the loan will be the total amount repaid minus the original loan amount.

To simplify the calculation, we could use a financial calculator or an amortization schedule to determine the interest paid each month, sum those amounts, and then calculate the average. We would need to use the loan's nominal interest rate, the number of monthly payments, and the loan amount to create this schedule.

Without exact figures from an amortization schedule or further calculation, we cannot provide the precise answer to the question. Hence, this response does not determine which answer choice (A, B, C, D, or E) is correct, as the student's question appears incomplete or lacks sufficient information to solve with a specific numerical answer. The correct multiple-choice option is none of these.

User Ahmed Wagdi
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