Jennifer Siegel bought a new Ford Focus for $\$ 20,600$. She made a down payment of $\$ 6800$ and she financed the balance at $\$ 458.16$ per month for 3 years. Find the APR. Refer to the APR table, \& Annual Percentage Rate, as needed. The APR is $\int \%$

Step 1 ：Jennifer Siegel bought a new Ford Focus for \$20,600. She made a down payment of \$6,800 and financed the balance at \$458.16 per month for 3 years. We are asked to find the Annual Percentage Rate (APR).

Step 2 ：The total amount paid over the 3 years is calculated by multiplying the monthly payment by the number of months in 3 years: \(458.16 \times 12 \times 3 = \$16,493.76\).

Step 3 ：The principal, or the amount of the loan, is the price of the car minus the down payment: \(20,600 - 6,800 = \$13,800\).

Step 4 ：The total interest paid over the life of the loan is the total amount paid minus the principal: \(16,493.76 - 13,800 = \$2,693.76\).

Step 5 ：We can now use the formula for APR to find the annual percentage rate: \(APR = \frac{Total Interest}{Principal} \div Number of Years \times 100\%\). Substituting the values we have: \(APR = \frac{2,693.76}{13,800} \div 3 \times 100\% = 6.51\%\).

Step 6 ：Final Answer: The APR is approximately \(\boxed{6.51\%}\).