Math Problem Statement
Using the interest formula A = P(1 + rt), solve for the indicated variable r.
Solution
To solve for in the interest formula given by , let's go through the steps:
Step-by-Step Solution
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Start with the formula:
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Divide both sides by to isolate the term with :
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Subtract 1 from both sides to further isolate :
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Divide both sides by to solve for :
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Simplify the expression:
Final Answer
Would you like further details or have any questions?
Here are five related questions to expand on this topic:
- What is the formula for if we are solving for time in the interest formula?
- How would this formula change if it were compound interest instead of simple interest?
- If you know the values of , , and , how would you substitute them to find ?
- What units should have in this formula?
- How would you interpret a negative value for in practical terms?
Tip: Remember, when working with interest formulas, be clear whether you're using simple or compound interest as they have different formulas.
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Math Problem Analysis
Mathematical Concepts
Algebra
Simple Interest
Solving for Variables
Formulas
A = P(1 + rt)
r = (A - P) / (Pt)
Theorems
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Suitable Grade Level
Grades 9-12