Consider a credit card with a balance of $8500 and an APR of 16.5 % . If you want to make monthly payments in order to pay off the balance in 3 years, what is the total amount you will pay?

Question
Answer:
To calculate the total amount you will pay, we need to first determine the monthly payment amount.

The formula to calculate the monthly payment on a credit card balance is:

$$\text{Monthly Payment}= \frac{\text{Balance} \times \text{Monthly Interest Rate}}{1-\left(1+\text{Monthly Interest Rate}\right)^{-\text{Number of Payments}}}$$

Where:
- the "Balance" is the current balance on the credit card,
- the "Monthly Interest Rate" is the annual percentage rate (APR) divided by 12 to get the monthly interest rate, and
- the "Number of Payments" is the total number of monthly payments to be made.

Plugging in the given values:
- Balance = $8500,
- APR = 16.5% = 0.165, and
- Number of Payments = 3 years x 12 months/year = 36

We can now calculate the monthly payment:

Monthly Payment = 300.94 dollars
solved
general 6 months ago 2921