Math Problem Statement
You have a credit card that charges an annual interest rate of 20.1% using the average daily balance method. The table below shows your activity for the month of April.
Date Activity Amount Balance April 1 Beginning Balance 850.00 April 5 Purchase 36.40 886.40 April 11 Payment −200.00 686.40 April 20 Purchase 94.50 780.90 April 23 Purchase 20.00 800.90 April 30 Purchase 63.8 864.7 April 30 Ending Balance 864.7
What is the average daily balance for this account?
$ 790.32 Correct
What is the finance charge for the month of April?
Solution
To calculate the finance charge for April, we use the formula:
Step 1: Compute the monthly interest rate.
Step 2: Compute the finance charge.
The given Average Daily Balance is . Using the formula:
Step 3: Round to two decimal places.
The finance charge for April is:
Let me know if you would like further details or have questions!
Related Questions:
- How is the average daily balance method different from other interest calculation methods?
- What would the finance charge be if the annual interest rate were 18% instead of 20.1%?
- How can paying earlier in the month impact the finance charge?
- If you made no payments, how would the finance charge change?
- Can you explain how purchases affect the average daily balance?
Tip: To minimize finance charges, pay off as much of the balance as possible before the billing cycle ends.
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Math Problem Analysis
Mathematical Concepts
Finance
Interest Calculation
Average Daily Balance Method
Formulas
Average Daily Balance = (Sum of daily balances) / (Number of days in the billing cycle)
Finance Charge = Average Daily Balance × (Annual Interest Rate / 12)
Theorems
Proportional Calculation of Interest
Suitable Grade Level
Grades 9-12
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