Simple interest I in dollars is calculated using the formula I equals PRT or P represents the principle or a mountain dollars size investor or borrowed our represents the annual interest rate expressed as a decimal and represents time in years find the value of the variable using the simple interest formula

The simple interest formula is given by:

\[
I = P \times R \times T
\]

Where:
- $ I $ = Simple interest
- $ P $ = Principal (amount invested or borrowed)
- $ R $ = Annual interest rate (expressed as a decimal)
- $ T $ = Time (in years)

To find the value of any variable in the formula, you'll need values for the other three variables. Here's how to solve for each variable:

### 1. **To find the Interest $ I $:**
\[
I = P \times R \times T
\]
Example: If $ P = 1000 $ dollars, $ R = 0.05 $, and $ T = 2 $ years:
\[
I = 1000 \times 0.05 \times 2 = 100
\]

### 2. **To find the Principal $ P $:**
\[
P = \frac{I}{R \times T}
\]
Example: If $ I = 100 $ dollars, $ R = 0.05 $, and $ T = 2 $ years:
\[
P = \frac{100}{0.05 \times 2} = 1000
\]

### 3. **To find the Rate $ R $:**
\[
R = \frac{I}{P \times T}
\]
Example: If $ I = 100 $ dollars, $ P = 1000 $ dollars, and $ T = 2 $ years:
\[
R = \frac{100}{1000 \times 2} = 0.05
\]

### 4. **To find the Time $ T $:**
\[
T = \frac{I}{P \times R}
\]
Example: If $ I = 100 $ dollars, $ P = 1000 $ dollars, and $ R = 0.05 $:
\[
T = \frac{100}{1000 \times 0.05} = 2 \text{ years}
\]

Let me know which specific variable you'd like to solve for or if you have particular values in mind.

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### Related Questions:
1. What is the simple interest if the principal is \$2000, the rate is 3%, and the time is 5 years?
2. How much should be invested at an annual interest rate of 4% to earn \$800 in 3 years?
3. If the interest is \$150 on a principal of \$500 at a 5% annual rate, how many years did it take?
4. What is the annual interest rate if \$120 interest is earned on a \$600 principal in 4 years?
5. How does the time period affect the amount of interest earned?

**Tip:** Always ensure that the interest rate $ R $ is expressed as a decimal when using the formula (e.g., 5% as 0.05).

Simple interest I in dollars is calculated using the formula I equals PRT or P represents the principal amount in dollars invested or borrowed, R represents the annual interest rate expressed as a decimal, and T represents time in years. Find the value of the variable using the simple interest formula.

Learn how to calculate simple interest using the formula I = PRT. This guide explains how to find the interest, principal, rate, or time using basic algebraic techniques, suitable for students in Grades 6-8. Includes examples with detailed solutions.

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