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

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: $458.16\times 12\times 3=\mathrm{\$}16,493.76$.

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

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

Step 5 ：We can now use the formula for APR to find the annual percentage rate: $APR=\frac{TotalInterest}{Principal}÷NumberofYears\times 100\mathrm{\%}$. Substituting the values we have: $APR=\frac{2,693.76}{13,800}÷3\times 100\mathrm{\%}=6.51\mathrm{\%}$.

Step 6 ：Final Answer: The APR is approximately $\boxed{{\displaystyle 6.51\mathrm{\%}}}$.