Math Problem Statement
Solution
To calculate the total interest and monthly payment using the add-on method, we follow these steps:
Given:
- Amount of loan (): $4400
- Length of loan (): 5 years
- Interest rate (): 4.8% (0.048 as a decimal)
Step 1: Total Interest
The formula for total interest in the add-on method is:
Substituting the values:
Step 2: Total Amount to Repay
The total amount to repay is the principal () plus the total interest:
Step 3: Monthly Payment
The monthly payment is calculated by dividing the total amount to repay by the total number of months:
Since the loan term is 5 years, the total months are:
Now:
Final Answers:
- Total Interest: $1056
- Monthly Payment: $90.93
Would you like additional details or calculations?
Here are 5 related questions to expand your understanding:
- How does the add-on method differ from simple interest in terms of monthly payments?
- What would the monthly payment be for a shorter loan term, say 3 years?
- How would a higher interest rate (e.g., 6%) impact the total interest and monthly payment?
- Can this method be applied to other types of loans, such as mortgages?
- How can a borrower minimize their total interest when using the add-on method?
Tip: Always consider the total cost of the loan (interest + principal) when comparing loan offers, not just the monthly payment.
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Math Problem Analysis
Mathematical Concepts
Simple Interest
Add-On Method
Monthly Payments
Formulas
Total Interest = Principal × Rate × Time
Total Repayment = Principal + Total Interest
Monthly Payment = Total Repayment ÷ Total Months
Theorems
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Suitable Grade Level
Grades 9-12
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