To purchase \( \$ 14,100 \) worth of restaurant equipment for his business, Reuben made a down payment of \( \$ 1700 \) and took out a business loan for the rest. After 3 years of paying monthly payments of \( \$ 377.24 \), he finally paid off the loan. (a) What was the total amount Reuben ended up paying for the equipment (including the down payment and monthly payments)? (b) How much interest did Reuben pay on the loan?
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The Deep Dive
To determine the total amount Reuben ended up paying for the restaurant equipment, we first calculate the remaining balance after his down payment: Remaining balance = Total price - Down payment = \( 14,100 - 1,700 = 12,400 \). Next, we calculate the total of all monthly payments over 3 years: Total monthly payments = Monthly payment amount × Number of months = \( 377.24 \times 36 = 13,590.64 \). Now, we can calculate the total amount he paid: Total amount paid = Down payment + Total monthly payments = \( 1,700 + 13,590.64 = 15,290.64 \). To find the interest paid on the loan: Interest paid = Total monthly payments - Loan amount = \( 13,590.64 - 12,400 = 1,190.64 \). So, Reuben paid a total of \( 15,290.64 \) for the restaurant equipment and \( 1,190.64 \) in interest on the loan.
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