Simple Interest Formula Cb6735
1. The problem asks for the formula to find simple interest.
2. The formula for simple interest is:
$$I = Prt$$
where:
- $I$ is the interest earned,
- $P$ is the principal amount (initial investment),
- $r$ is the annual interest rate (in decimal),
- $t$ is the time the money is invested for (in years).
3. Important rules:
- The interest rate $r$ must be converted from a percentage to a decimal by dividing by 100.
- The time $t$ must be in years; if given in months, convert by dividing by 12.
4. Explanation of options:
- Option A: $I = Prt$ is the correct simple interest formula.
- Option B: $I = P(1+r)^t$ is the formula for compound interest amount, not simple interest.
- Option C: $I = F - P$ is the formula for interest when final amount $F$ and principal $P$ are known, but it is not the direct formula for simple interest.
- Option D: $I = \frac{F}{(1+r)^t}$ is incorrect for simple interest.
Final answer: Option A. $I = Prt$