\begin{tabular}{|l|r|}
\hline
\multicolumn{2}{|c|}{Installment Loan} \\
\hline Principal & \[tex]$1,810 \\
\hline Term Length & $[/tex]3 \frac{1}{2}[tex]$ years \\
\hline Interest Rate & 12\% \\
\hline Monthly Payment & \$[/tex]53 \\
\hline
\end{tabular}

How much of the 31st payment will go to interest if there is an outstanding principal of \[tex]$596?

Interest on 31st Payment = \$[/tex][?]

Round to the nearest hundredth.



Answer :

To determine how much of the 31st payment will go toward interest, follow these steps:

1. Identify the outstanding principal: The outstanding principal at the time of the 31st payment is \[tex]$596. 2. Determine the annual interest rate: The annual interest rate is 12%. 3. Convert the annual interest rate to a monthly interest rate: - The monthly interest rate is the annual interest rate divided by 12 (since there are 12 months in a year). - \(\text{Monthly Interest Rate} = \frac{12\%}{12} = 1\%\) per month. - Converting 1% to a decimal: \(1\% = 0.01\). 4. Calculate the interest portion of the 31st payment: - Multiply the outstanding principal by the monthly interest rate. - \(\text{Interest for 31st payment} = 596 \times 0.01\). - \(\text{Interest for 31st payment} = 5.96\). Therefore, the interest portion of the 31st payment is \$[/tex]5.96.