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Shelly sanders gets a loan for $4000 and repays the loan in 12 monthly payments of $345.00 per month. under the apr formula, what is the amount of interest included in her first payment?

A. $14.77
B. $4.67
C. $12.17
D. $13.61
E. $11.67

1 Answer

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The amount of interest included in Shelly Sanders's first payment is E. $11.67.

How to find the amount of interest included in Shelly's first payment?

First, we shall calculate the total amount paid:

Total amount paid = Monthly payment X number of payments:

Total amount = $345/month * 12 months = $4140

Next, we find the total interest paid:

Total interest paid = Total amount paid - Loan amount

$4140 - $4000 = $140.

Estimate the monthly interest rate:

Total interest / (the product of the loan amount and the number of payments)

Monthly interest rate = $140 / ($4000 * 12)

= 0.00291667.

Then, we find the interest included in the first payment:

Multiply the loan amount by the monthly interest rate: $4000 * 0.00291667 = $11.6667

Interest included in the first payment = $11.67.

Thus, the amount of interest included in Shelly's first payment is $11.67.

User Michael Mrozek
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