determine the total cost, fixed monthly payment, and the total interest paid when repaying a credit card loan of $3,500 with a 21% interest rate compounded monthly over a 24-month term.

Round the answer to the nearest dollar.
To the nearest dollar, the total cost of repaying the loan is $_____. The fixed monthly payment amount is $_____.
The total amount of interest paid is $_____.

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
10 months ago

To determine the total cost of repaying the loan, we need to calculate the monthly payment amount first using the formula for monthly payment on a loan:

Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

In this case, the loan amount is $3,500 and the interest rate is 21% compounded monthly, so the monthly interest rate is 21% / 12 months = 1.75%.

Monthly Payment = (3500 * 0.0175) / (1 - (1 + 0.0175)^(-24))
= 60.27

Rounding the monthly payment to the nearest dollar, the fixed monthly payment amount is $60.

The total cost of repaying the loan is the monthly payment amount multiplied by the number of months:

Total Cost = Monthly Payment * Number of Months
= 60 * 24
= $1440

The total amount of interest paid is the difference between the total cost and the loan amount:

Total Interest Paid = Total Cost - Loan Amount
= 1440 - 3500
= $2060

To the nearest dollar, the total cost of repaying the loan is $1440. The fixed monthly payment amount is $60. The total amount of interest paid is $2060.