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15 April, 20:33

A 14 gram sample of a substance that's used to preserve fruit and vegetables has a k-value of 0.1092. Find the substance's half-life, in days. Round your answer to the nearest tenth. N=Noe^-kt

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  1. 15 April, 21:45
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    t = 6.3

    Step-by-step explanation:

    N=Noe^ (-kt)

    No = 14 grams

    k =.1092

    We want to find t when N = 7 or 1/2 of 14

    N=Noe^ (-kt)

    7 = 14 e ^ (-.1092t)

    Divide each side by 14

    1/2 = e ^ (-.1092t)

    take the natural log of each side

    ln (1/2) = ln e ^ (-.1092t)

    ln (1/2) = -.1092t

    Divide each side by -.1092

    ln (1/2) / -.1092 = t

    t≈6.3475

    Rounding to the nearest tenth

    t = 6.3
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