Math Problem Statement
Consider a single sum of money of 800,000/= deposited into a fixed deposit account earning 4% interest compounded annually. How much would have your deposit have grown by the end of 5 years?
Solution
To calculate the future value of a fixed deposit account with compounded interest, we can use the formula:
where:
- is the amount of money accumulated after n years, including interest.
- is the principal amount (the initial sum of money).
- is the annual interest rate (decimal).
- is the number of years the money is invested or borrowed.
Given:
- (4%)
Now, substituting the values into the formula:
Therefore, the deposit would have grown to approximately 973,322.32 after 5 years.
To find out how much the deposit has grown, we subtract the initial deposit from the future value:
Thus, the deposit would have grown by approximately 173,322.32 over 5 years.
Would you like more details on this calculation, or do you have any questions? Here are some related questions you might consider:
- What would the total amount be after 10 years at the same interest rate?
- How does changing the interest rate to 5% affect the total amount after 5 years?
- What is the difference between simple interest and compound interest?
- How would the growth change if the interest were compounded semi-annually instead of annually?
- What are some common types of fixed deposit accounts available?
Tip: Always verify the interest compounding frequency as it significantly impacts the growth of your investment.
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Math Problem Analysis
Mathematical Concepts
Compound Interest
Exponential Growth
Formulas
Compound Interest Formula: A = P(1 + r)^n
Theorems
Exponential Growth with Compounded Interest
Suitable Grade Level
Grades 10-12
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