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Nathaniel invested 37,000 in an account paying an interest rate of 5.7% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach 70,900?

Solution

Nathaniel invested 37, 000 in an account paying an interest rate of 5.7% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach 70, 900?

Solution

Time : 11.41

Solution steps

Translate the problem into an equation:

70900 = 37000 (1 + \frac{0.057}{365})^{365 t}

Solve for

t, 70900 = 37000 (1 + \frac{0.057}{365})^{365 t} : t = 11.41

Time : 11.41

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