Math Problem Statement

G The formula for simple interest I is I = Prt, where P is the principal, r is the interest rate, and t is time. Solve for P.

Solution

To solve the formula for simple interest I=PrtI = Prt for PP (the principal), follow these steps:

Given formula:

I=PrtI = Prt

Solving for PP:

  1. Isolate PP: Divide both sides of the equation by rtrt: P=IrtP = \frac{I}{rt}

Final solution:

P=IrtP = \frac{I}{rt}

This means that to find the principal PP, you divide the simple interest II by the product of the interest rate rr and time tt.

Would you like more details or have any questions?

Here are 5 related questions:

  1. How would you calculate rr (the interest rate) if you know II, PP, and tt?
  2. What is the difference between simple interest and compound interest?
  3. How does changing tt (time) affect the amount of simple interest earned?
  4. If the interest rate is given as a percentage, how do you convert it to decimal form in the formula?
  5. What happens if the time tt is less than 1 year? How does this affect the calculation?

Tip: Always express the interest rate rr as a decimal in the formula (e.g., 5% becomes 0.05).

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Math Problem Analysis

Mathematical Concepts

Algebra
Simple Interest

Formulas

I = Prt
P = I / (rt)

Theorems

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Suitable Grade Level

Grades 7-10