Certainly! Below is the correct representation of the Compound Interest Formula along with its components:
COMPOUND INTEREST FORMULA
The formula for compound interest is given by:
\[ A = P\left(1 + \frac{r}{n}\right)^{nt} \]
Variable Meaning
- A: Amount of money in the account after \( t \) years.
- P: The original amount (in dollars) you put in the account (Principal).
- r: Interest rate (expressed as a decimal).
- n: Number of times interest is compounded per year.
- t: Number of years the money is invested or borrowed.
Breakdown of the Formula
- The term \( \frac{r}{n} \) represents the interest rate per compounding period.
- The exponent \( nt \) represents the total number of compounding periods (n times per year for t years).
Make sure to carefully use this formula for calculating compound interest!