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The Fresh and Green Company has a

savings plan for employees. If an employee
makes an initial deposit of $4,500, the company
pays 4% interest compounded annually. If an
employee withdraws the money after three
years, how much is in the account?

1 Answer

1 vote

Final answer:

After three years, with an initial deposit of $4,500 and an annual compound interest rate of 4%, the employee would have $5,054.32 in their company savings plan account.

Step-by-step explanation:

The Fresh and Green Company offers an employee savings plan where the initial deposit is subject to an annual compound interest rate. In this case, an initial deposit of $4,500 grows with a 4% annual compound interest rate over three years.

To find out how much money is in the account after this period, we use the formula for compound interest, which is A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount, r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the time the money is invested for in years.

In this scenario, the formula would be A = $4,500(1 + 0.04/1)^(1*3), simplifying to A = $4,500(1 + 0.04)^3. Calculating this yields A = $5,054.32. Therefore, after three years, the employee would withdraw $5,054.32 from the account.

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