Let's categorize the given definitions and formulas for simple and compound interest correctly.
### Simple Interest
1. Formula:
[tex]\[
\text{Total Interest} = \text{Principal} \times \text{APR (as a decimal)} \times \text{Term of Loan}
\][/tex]
2. Definition:
Interest calculated once on the starting principal.
### Compound Interest
1. Formula:
[tex]\[
A = P \left(1 + \frac{r}{n}\right)^{ nt }
\][/tex]
2. Definition:
Interest calculated multiple times over the course of a loan.
Now, let's organize this information on the table to indicate the correct categories:
[tex]\[
\begin{tabular}{|c|c|}
\hline
\textbf{Simple Interest} & \textbf{Compound Interest} \\
\hline
\text{Interest calculated once on the starting principal} & \text{Interest calculated multiple times over the course of a loan} \\
\hline
\text{Total Interest = Principal $\times$ APR (as a decimal) $\times$ Term of Loan} & \text{A = P $\left(1+\frac{r}{n}\right)^{ nt }$} \\
\hline
\end{tabular}
\][/tex]
Here, the correct matching has been provided for simple and compound interest definitions and formulas.
