Pregunta
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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?

Ask by Montgomery Tucker. in the United States
Feb 27,2025

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Reuben paid a total of $15,280.64 for the equipment, which includes a $1,700 down payment and $13,580.64 in monthly loan payments. He paid $1,180.64 in interest on the loan.

Solución

Reuben's restaurant equipment cost was $14,100. He made a down payment of $1,700 and financed the remaining amount with a loan. Step 1. Calculate the initial loan amount:   Loan Amount = Equipment Cost − Down Payment         = $14,100 − $1,700         = $12,400 Step 2. Determine the total amount paid on the loan:   Reuben made monthly payments of $377.24 for 3 years. Since there are 12 months in a year:   Total Number of Payments = 3 × 12 = 36   Total Loan Payment = 36 × $377.24 = $13,580.64 Step 3. Calculate the total amount paid for the equipment (including the down payment and the monthly payments):   Total Amount Paid = Down Payment + Total Loan Payment         = $1,700 + $13,580.64         = $15,280.64 Step 4. Compute the total interest paid on the loan:   Interest Paid = Total Loan Payment − Loan Amount         = $13,580.64 − $12,400         = $1,180.64 Answers: (a) Reuben paid a total of $15,280.64 for the equipment. (b) The interest paid on the loan was $1,180.64.

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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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