Math Problem Statement
Kyle used the Quantitative Reasoning Process to create a plan to pay off his student loans of $8,060. The interest rate on his loan is 3.3% annually and he plans to make monthly payments of $78.95 for 10 years. Complete months 1 and 2 of the amortization table below.
How much of Kyle's payment goes to Interest in Month 2?
Solution
To find out how much of Kyle's payment goes to interest in Month 2, we first need to understand how amortization works. Each monthly payment consists of two parts: interest and principal. The interest for each month is calculated based on the remaining loan balance.
Let's follow these steps to calculate the interest portion of the payment for Month 2:
Step 1: Monthly Interest Rate Calculation
The annual interest rate is 3.3%. To find the monthly interest rate:
Step 2: Month 1 Interest and Principal
- Initial Loan Balance: $8,060
- Monthly Payment: $78.95
Interest for Month 1:
Principal for Month 1:
Remaining Balance after Month 1:
Step 3: Month 2 Interest and Principal
- New Loan Balance: $8,003.215
Interest for Month 2:
The interest portion of the payment for Month 2 is $22.01 (rounded to two decimal places).
Conclusion
In Month 2, $22.01 of Kyle's payment goes towards interest.
Would you like more details on any part of this calculation, or do you have any other questions?
Here are five related questions that might interest you:
- How much of Kyle's payment goes towards the principal in Month 2?
- What is the remaining balance after Month 2?
- How does the interest portion of the payment change over time?
- What would be the total interest paid over the 10 years?
- How would an increase in the monthly payment affect the loan payoff period?
Tip: Always check the remaining balance each month to ensure that the interest and principal portions are correctly applied to your loan payments.
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Math Problem Analysis
Mathematical Concepts
Amortization
Interest Calculation
Loan Payment
Formulas
Monthly Interest Calculation
Theorems
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Suitable Grade Level
Grades 9-12
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