Math Problem Statement
I invest $8000 at 8.5% p.a , after 6 years, how much would I have in total in a compounded yearly interest account?
Solution
To calculate the total amount in a compound interest account, we use the compound interest formula:
Where:
- is the total amount after interest.
- is the principal (initial investment), which is $8000.
- is the annual interest rate, which is 8.5% or 0.085.
- is the number of times the interest is compounded per year (in this case, it's compounded yearly, so ).
- is the number of years the money is invested, which is 6 years.
Now, plugging in the values:
I'll calculate the result.
After 6 years, your total investment would grow to approximately $13,051.74 in a compound interest account at an annual interest rate of 8.5%.
Would you like further details on how this was calculated or have any other questions?
Here are some related questions you might find useful:
- What is the difference between compound and simple interest?
- How would the amount change if the interest was compounded monthly?
- How does changing the interest rate affect the final amount?
- What would the investment be worth after 10 years?
- How can I calculate the total interest earned separately?
Tip: Compound interest grows faster the more frequently it is compounded.
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Math Problem Analysis
Mathematical Concepts
Algebra
Compound Interest
Exponents
Formulas
Compound Interest Formula: A = P(1 + r/n)^(nt)
Theorems
Exponential Growth in Finance
Suitable Grade Level
Grades 10-12
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