Final answer:
The total installment price is $6,240. The finance charge is $840. The annual percentage rate (APR) is approximately 3.76%.
Step-by-step explanation:
To calculate the total installment price, we multiply the monthly payment by the number of months: $120 x 52 = $6,240. The amount financed is the difference between the cash price and the down payment: $6,000 - ($6,000 x 10%) = $5,400. Therefore, the finance charge is the difference between the total installment price and the amount financed: $6,240 - $5,400 = $840.
The annual percentage rate (APR) represents the yearly cost of borrowing and is calculated using the finance charge and the amount financed. To calculate the APR, we use the formula:
APR = (Finance Charge / Amount Financed) x (12 / Number of Months) x 100%
Using the values calculated above, the APR would be:
(840 / 5,400) x (12 / 52) x 100% ≈ 0.163 x 0.231 x 100% ≈ 3.76%