Math Problem Statement
Use the add-on method of calculating interest to find the total interest and the monthly payment.
Amount of Loan
Length of Loan
Interest Rate
$41004100
44
years
4.64.6%
Question content area bottom
Part 1
The total interest is
(Round to the nearest cent as needed.)
Solution
To calculate the total interest using the add-on method, we use the following formula:
Where:
- is the principal (loan amount).
- is the annual interest rate (as a decimal).
- is the time of the loan in years.
Given:
Now, let's calculate the total interest.The total interest for the loan is $754.40.
Next, we will calculate the monthly payment using the add-on method. The formula for the monthly payment is:
Let's calculate it now.The monthly payment for the loan is $101.13.
Would you like more details on this calculation, or do you have any questions?
Here are 5 related questions to expand your understanding:
- What is the difference between the add-on method and simple interest method?
- How would the total interest change if the loan term was extended to 5 years?
- What happens to the monthly payment if the interest rate increases to 5%?
- How does compound interest compare to the add-on method for loan repayments?
- What are the advantages of paying off a loan early?
Tip: Always check if your loan allows for early repayment without penalties, as this can save you money on interest.
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Math Problem Analysis
Mathematical Concepts
Simple Interest
Add-on Method
Loan Repayment
Formulas
Total Interest = P × r × t
Monthly Payment = (P + Total Interest) / (t × 12)
Theorems
-
Suitable Grade Level
Grades 10-12
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