Join thousands of students who trust us to help them ace their exams!Watch the first video
Multiple Choice
Your credit card company charges you 1.15\% interest per month. What is the annual percentage rate (APR)?
A
13.8\%
B
14.5\%
C
15.3\%
D
12.0\%
Verified step by step guidance
1
Understand the problem: The credit card company charges 1.15% interest per month. To calculate the Annual Percentage Rate (APR), we need to determine the equivalent annual interest rate based on the monthly rate.
Recall the formula for converting a monthly interest rate to an annual interest rate: \( \text{APR} = (1 + \text{Monthly Rate})^{12} - 1 \). This formula accounts for compounding interest over 12 months.
Substitute the given monthly interest rate (1.15%) into the formula. First, convert the percentage to a decimal: \( \text{Monthly Rate} = 1.15\% = 0.0115 \).
Apply the formula: \( \text{APR} = (1 + 0.0115)^{12} - 1 \). This step involves raising \( 1 + 0.0115 \) to the power of 12 and then subtracting 1.
Convert the result back to a percentage by multiplying by 100. This will give you the APR as a percentage, which you can compare to the provided options to select the correct answer.