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 for (the principal), follow these steps:
Given formula:
Solving for :
- Isolate : Divide both sides of the equation by :
Final solution:
This means that to find the principal , you divide the simple interest by the product of the interest rate and time .
Would you like more details or have any questions?
Here are 5 related questions:
- How would you calculate (the interest rate) if you know , , and ?
- What is the difference between simple interest and compound interest?
- How does changing (time) affect the amount of simple interest earned?
- If the interest rate is given as a percentage, how do you convert it to decimal form in the formula?
- What happens if the time is less than 1 year? How does this affect the calculation?
Tip: Always express the interest rate 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
-
Suitable Grade Level
Grades 7-10