A parent saving for their child’s college tuition deposits $1,750 into an account that earns % interest per year. The money is left in the account for 2 years. Find the maturity value.
Question
A parent saving for their child’s college tuition deposits $1,750 into an account that earns % interest per year. The money is left in the account for 2 years. Find the maturity value.
Solution
To find the maturity value of the deposit, we need to use the formula for compound interest. The formula is:
where:
- is the maturity value (the amount of money accumulated after n years, including interest).
- is the principal amount (the initial amount of money).
- is the annual interest rate (in decimal form).
- is the number of times that interest is compounded per year.
- is the time the money is invested for, in years.
Given:
- (assuming the interest rate is 5%)
- (assuming the interest is compounded annually)
Now, plug these values into the formula:
So, the maturity value after 2 years is $1,929.38 (rounded to the nearest cent).
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