Math Problem Statement

have 10,900 in credit card with an interest rate of 9.99 percent as of September 2024. I make 800 dollars monthly payments. how much will i owe by the end of 2024

Solution

To calculate how much you'll owe by the end of 2024, we need to consider the interest on the balance and how your monthly payments will affect the outstanding debt. Here's how we'll approach it:

  1. Loan amount: $10,900
  2. Interest rate: 9.99% annual, or 0.8325% monthly (9.99% ÷ 12 months)
  3. Monthly payment: $800
  4. Time frame: From September to December 2024 (4 months)

We'll calculate the balance after 4 months of payments considering the interest charged monthly on the remaining balance.

Let me compute this for you.By the end of December 2024, after making monthly payments of $800 starting with a balance of $10,900 and an interest rate of 9.99%, you'll owe approximately $8,027.35.

Would you like more details on how the interest was calculated, or have any other questions?

Here are 5 related questions you might find useful:

  1. How would the total amount owed change if you increase your monthly payment?
  2. What if the interest rate were compounded daily instead of monthly?
  3. How long would it take to pay off the full debt with the current payment schedule?
  4. How much total interest will you pay by the end of the loan period?
  5. What is the impact of making an additional lump-sum payment?

Tip: Paying more than the minimum monthly payment can significantly reduce the amount of interest you pay over time.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Compound Interest
Loan Repayment

Formulas

Remaining balance = (Previous balance - Payment) * (1 + Monthly interest rate)
Monthly interest rate = Annual interest rate / 12

Theorems

Compound Interest Formula

Suitable Grade Level

Grades 9-12