Annabelle invested 5,900 in an account paying an interest rate of 2% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach 7,440?

Solution

Annabelle invested 5, 900 in an account paying an interest rate of 2% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach 7, 440?

Solution

Time : 11.6

Solution steps

Translate the problem into an equation:

7440 = 5900 e^{0.02 t}

Solve for

t, 7440 = 5900 e^{0.02 t} : t = 11.6

Time : 11.6

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