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? \( 5 \square \)
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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: \( \approx 2,850.28 \)