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14 February, 07:25

The decay of 277 mg of an isotope is described by the function A (t) = 277e-0.019t, where t is time in years. Find the amount left after 64 years. Round your answer to the nearest mg.

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  1. 14 February, 07:45
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    The decay of 277 mg of an isotope is described by the function

    A (t) = 277e-0.019t,

    where t is time in years.

    To find the amount left after 64 years,

    We substitute t = 64 in the expression.

    A (t=64) = 277e-0.019 (64)

    or A (t=64) = 277 * e-1.216

    = 277 * 0.29

    = 82 mg
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