Get the answers you need from a community of experts on IDNLearn.com. Join our Q&A platform to get accurate and thorough answers to all your pressing questions.
Sagot :
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.
### 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.
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Thanks for visiting IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more helpful information.