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9 December, 13:06

Manuel invested $10,000 in a savings account with a 3% interest rate that gets compounded daily. Write a model for Manuel to track/predict his money's value over time. In how many years will the value of the account be $12,000?

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  1. 9 December, 15:34
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    It will take 6.2 years for the value of the account to be $12,000

    Step-by-step explanation:

    P x (1 + rn)

    Where P = Principal

    r rate of interest

    n = number of time interest is calculated in a year

    $10,000 x (1.03) N = $12,000

    (1.03) N = $12000 / $10000

    (1.03) N = 1.2

    Taking natural log,

    N x ln 1.03 = ln 1.2

    N x 0.0296 = 0.1823

    N = 6.2 years
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