Math Problem Statement
The formula for simple interest is I, equals, P, r, t, commaI=Prt, where II is the interest earned, PP is the principal, rr is the interest rate and tt is the number of years. Solve the formula for tt in terms of P, commaP, II and r, .r.
Solution
To solve the simple interest formula for in terms of , , and , follow these steps:
Given formula:
Solve for :
- Divide both sides by and :
So the formula for in terms of , , and is:
Final expression:
Would you like any further details or explanations on this?
Related Questions:
- How would you use this formula to find the time if , , and ?
- What happens if the interest rate is given as a percentage instead of a decimal?
- Can this formula be rearranged to solve for , the principal?
- How does the formula change if the interest rate is compounded annually instead of simple interest?
- How can you apply this formula to find the interest earned over 3 years?
Tip:
Always convert percentage rates to decimals by dividing by 100 before applying them in formulas!
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Math Problem Analysis
Mathematical Concepts
Algebra
Simple Interest
Solving Equations
Formulas
I = Prt
t = I / (Pr)
Theorems
-
Suitable Grade Level
Grades 7-10