Question
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To purchase \( \$ 11,900 \) worth of machinery for her business, Maya made a down payment of \( \$ 1900 \) and took out a busines (a) What was the total amount Maya ended up paying for the machinery (including the down payment and monthly payments)? After 3 years of paying monthly payments of \( \$ 304.23 \), she finally paid off the loan. (b) How much interest did Maya pay on the loan? \( 5 \square \)

Ask by Howell Hilton. in the United States
Mar 10,2025

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Answer

Maya paid a total of \$12,852.28 for the machinery, which includes \$1,900 down and \$10,952.28 in monthly payments. She paid \$952.28 in interest on the loan.

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The Deep Dive

To calculate the total amount Maya ended up paying for the machinery, we first need to add her down payment to the total cost of the loan payments. She made a down payment of \( \$ 1,900 \) and paid \( \$ 304.23 \) monthly for 36 months (3 years). Total payments from the loan = \( 304.23 \times 36 = \$ 10,950.28 \). Total cost = Down payment + Total payments = \( 1,900 + 10,950.28 = \$ 12,850.28 \). Now, for the interest paid on the loan, we can subtract the value of the machinery from the total amount paid. Interest paid = Total amount paid - Loan amount. Loan amount = \( 11,900 - 1,900 = \$ 10,000 \). Interest paid = \( 12,850.28 - 10,000 = \$ 2,850.28 \). So, the answers are: (a) Total amount paid: \( \approx 12,850.28 \) (b) Interest amount: \( \approx 2,850.28 \)

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