Math Problem Statement
At what rate was an investment made that obtains 2 520 on 10 500 over four years
Solution
To determine the rate of an investment, we can use the formula for simple interest, given as:
Where:
- is the interest earned (which is 2,520),
- is the principal (initial investment, 10,500),
- is the rate (which we need to find),
- is the time (4 years).
Rearranging the formula to solve for :
Substituting the given values:
Now let's calculate the value.The rate of the investment is per year.
Would you like more details or have any further questions? Here are five related questions you might consider:
- How would this change if the interest was compounded annually?
- What would the interest be for different time periods, such as 5 or 6 years?
- How can we calculate the final amount using compound interest instead of simple interest?
- If the principal was higher or lower, how would it affect the interest earned?
- How do different interest rates affect the total return on an investment over time?
Tip: Simple interest grows linearly, while compound interest grows exponentially over time!
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Math Problem Analysis
Mathematical Concepts
Simple Interest
Interest Rates
Algebra
Formulas
I = P * r * t
r = I / (P * t)
Theorems
Simple Interest Formula
Suitable Grade Level
Grades 9-12
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