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Compound Interest Calculation: $10000 at 3.5% for 8 Years Quarterly
Published on May 4, 2026
Word-Problem
Calculate the future value of an investment with compound interest. This problem uses the formula A = P(1 + r/n)^(nt) to find the total amount after 8 years.
Question
a busniess deposits $10000 into an account that earns 3.5% annual interests, compounded quarterly calculated the total amount after 8 years
Answer
Here’s how to calculate the total amount after 8 years with compound interest:
1. Understand the Compound Interest Formula
The formula for compound interest is:
Where:
-
= the future value of the investment/loan, including interest -
= the principal investment amount (the initial deposit or loan amount) -
= the annual interest rate (as a decimal) -
= the number of times that interest is compounded per year -
= the number of years the money is invested or borrowed for
2. Identify the Given Values
- Principal (
) = $10000 - Annual interest rate (
) = 3.5% = - Compounding frequency (
) = quarterly = 4 times per year - Time (
) = 8 years
3. Plug the Values into the Formula
4. Calculate the Interest Rate per Compounding Period
5. Calculate the Total Number of Compounding Periods
6. Substitute These Values Back into the Formula
7. Calculate the Value of
Using a calculator:
8. Calculate the Total Amount (
9. Round to the Nearest Cent
Answer:
The total amount in the account after 8 years will be approximately