\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|}
\hline
\textbf{Annual Interest Rate (APR)} & [tex]$11\%$[/tex] & [tex]$12\%$[/tex] & [tex]$13\%$[/tex] & [tex]$14\%$[/tex] & [tex]$15\%$[/tex] & [tex]$16\%$[/tex] & [tex]$17\%$[/tex] & [tex]$18\%$[/tex] & [tex]$19\%$[/tex] \\
\hline
\textbf{11 months} & 5.58 & 6.10 & 6.62 & 7.14 & 7.66 & 8.18 & 8.70 & 9.22 & 9.49 \\
\hline
\textbf{12 months} & 6.06 & 6.62 & 7.18 & 7.74 & 8.31 & 8.88 & 9.45 & 10.02 & 10.59 \\
\hline
\end{tabular}

Above is a table that gives the interest per every [tex]$\$[/tex] 100[tex]$ financed. Use the table to determine the annual percentage rate for a 12-month loan that charges $[/tex]\[tex]$ 8.31$[/tex] per every [tex]$\$[/tex] 100[tex]$ financed.

a. $[/tex]13 \%[tex]$
b. $[/tex]14 \%[tex]$
c. $[/tex]15 \%[tex]$
d. $[/tex]16 \%$

Please select the best answer from the choices provided.



Answer :

To determine the annual percentage rate (APR) for a 12-month loan that charges [tex]$8.31 per every $[/tex]100 financed, we can refer to the provided table. The table gives the interest per every [tex]$100 financed for different APRs over 12 months. Let's analyze the table data for a 12-month loan: - For 11%, the interest is $[/tex]6.06
- For 12%, the interest is [tex]$6.62 - For 13%, the interest is $[/tex]7.18
- For 14%, the interest is [tex]$7.74 - For 15%, the interest is $[/tex]8.31
- For 16%, the interest is [tex]$8.88 - For 17%, the interest is $[/tex]9.45
- For 18%, the interest is [tex]$10.02 - For 19%, the interest is $[/tex]10.59

According to the table:
- At 15%, the interest for 12 months is [tex]$8.31 per $[/tex]100 financed.

Since the loan in question charges [tex]$8.31 per every $[/tex]100 financed, which directly matches the provided interest for a 15% APR, we can conclude that the annual percentage rate for this loan is:

15% (Answer choice c)