Math Problem Statement
Solution
The problem you've uploaded involves a 2-year add-on interest loan for $5,360 with an annual interest rate of 9.63%. We need to calculate the total interest she will pay and her monthly payments.
1. Total Interest Paid:
The formula for total interest in an add-on loan is: Where:
- (Principal amount),
- (Annual interest rate),
- years (Loan term).
Rounding to the nearest cent:
2. Total Amount to Repay:
The total amount to be repaid is the sum of the principal and the total interest:
3. Monthly Payments:
Since the loan is for 2 years, the number of monthly payments is: The monthly payment is:
Rounding to the nearest cent:
Final Answers:
- She will pay $1,032.05 in interest.
- Her monthly payments will be $266.34.
Would you like further details or explanations?
Related Questions:
- How would the interest change if the interest rate were 12% instead of 9.63%?
- What if the loan term was 3 years? How would the monthly payments change?
- How would the interest change if the loan amount was $7,000 instead of $5,360?
- What is the effective annual rate (EAR) for this loan?
- How would the monthly payment change if the loan was repaid quarterly instead of monthly?
Tip: When calculating interest over multiple years, always ensure you're using the correct time period for accurate results.
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Math Problem Analysis
Mathematical Concepts
Simple Interest
Loans
Monthly Payments
Formulas
Total Interest = P × r × t
Monthly Payment = Total Repayment ÷ Number of Payments
Theorems
Simple Interest Theorem
Suitable Grade Level
Grades 9-12
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