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Tony borrows $1300 at an annual interest rate of 6.0%. He receives the loan on the first day of the current month and will make monthly payments on the first day of each of the following months until the loan is repaid after 24 months (2-year loan). The monthly loan payment is $57.62. How much interest will Tony pay as part of the first loan payment?

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Answer:

Tony will pay interest of $6.50 as part of the first loan payment.

Explanation:

Amount of Loan = $1300

Annual Interest  = 6%

Monthly interest rate = 6% / 12 = 0.5%

Monthly Loan Payment = $57.62

Monthly installment is compromised of the interest payment on the due balance and the principal payment.

Interest payment in first installment = $1300 x 0.5%

Interest payment in first installment = $6.50

Principal portion of first installment = $57.62 - $6.50

Principal portion of first installment = $51.12

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