Math Problem Statement
Your credit card company charges you 1.41 percent per month. What is the APR on your credit card?
Multiple Choice
18.30%
17.61%
16.07%
16.92%
19.21%
Solution
The APR (Annual Percentage Rate) is the annualized version of the monthly interest rate. To convert a monthly rate to an annual rate, we use the following formula:
Given:
- Monthly rate = 1.41% = 0.0141
Now calculate the APR:
Let me calculate that for you.The APR (Annual Percentage Rate) for a monthly interest rate of 1.41% is approximately 18.30%.
The correct answer is 18.30%.
Would you like further details or have any questions?
Here are 5 related questions:
- How would the APR change if the monthly rate were 2%?
- What is the formula to calculate the monthly rate from an APR?
- How does compounding affect the APR calculation?
- How does APR differ from effective annual interest rate (EAR)?
- What is the difference between nominal APR and effective APR?
Tip: When converting monthly rates to APR, always account for compounding by raising to the power of 12.
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Math Problem Analysis
Mathematical Concepts
Interest Rates
Compound Interest
Annual Percentage Rate (APR)
Formulas
APR = (1 + monthly rate)^12 - 1
Theorems
Compound Interest Theorem
Suitable Grade Level
Grades 10-12
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