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Samantha invested 670 in an account paying an interest rate of 5.5% 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 1,740?

Solution

Samantha invested 670 in an account paying an interest rate of 5.5% 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 1, 740?

Solution

Time : 17.35

Solution steps

Translate the problem into an equation:

1740 = 670 (1 + \frac{0.055}{365})^{365 t}

Solve for

t, 1740 = 670 (1 + \frac{0.055}{365})^{365 t} : t = 17.35

Time : 17.35

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