Final answer:
To find the monthly payment of a $7,500 car loan at 6% APR over 48 months, you use the installment loan payment formula with the principal amount, monthly interest rate, and total number of payments.
Step-by-step explanation:
To calculate the monthly payment for a $7,500 car loan with an APR of 6%, and a loan term of 48 months (4 years), you can use the formula for the monthly payment (M) of an installment loan:
M = P * (i / (1 - (1 + i)-n))
Where:
- P = principal amount ($7,500)
- i = monthly interest rate (APR divided by 12)
- n = total number of payments (48)
First, convert the APR of 6% to a monthly interest rate by dividing by 12, which gives i = 0.005 (0.06 / 12). Then plug the values into the formula: Monthly Payment = $7,500 * (0.005 / (1 - (1 + 0.005)-48))
By calculating this, you find the monthly payment amount.