Math Problem Statement
Use the compound interest formula to find the future value A for the following values. Upper P equals $ 2 comma 500P=$2,500 i equals 0.066i=0.066 n equals 25n=25 Question content area bottom Part 1 Upper A equals $A=$enter your response here (Round to the nearest cent.)
Solution
The formula for calculating compound interest is:
Where:
- is the future value of the investment/loan, including interest.
- is the principal investment amount (the initial deposit or loan amount).
- is the interest rate per period.
- is the number of periods.
Given:
Now, substitute these values into the formula:
Let me calculate this for you.The future value of the investment, rounded to the nearest cent, is:
Would you like more details on the calculation or have any further questions?
Here are 5 related questions for further exploration:
- How would the future value change if the interest rate was lower, say 5%?
- What happens to the future value if the investment period is reduced to 20 years?
- How does compound interest compare to simple interest over the same time frame?
- What would the future value be if compounded semi-annually instead of annually?
- How does inflation affect the real value of the future amount?
Tip: The frequency of compounding (monthly, quarterly, etc.) can significantly impact the future value.
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Math Problem Analysis
Mathematical Concepts
Compound Interest
Exponential Growth
Formulas
A = P(1 + i)^n
Theorems
Compound Interest Theorem
Suitable Grade Level
Grades 9-12
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