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3 June, 02:41

Radioactive Decay Beginning with 16 grams of a radioactive element whose half - life is 30 years, the mass y (in grams) remaining after t years is given by

y=16 (1/2) ^t/30, t ≥ 0.

How much of the initial mass remains after 90 years?

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  1. 3 June, 03:10
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    Answer: 2 grams of the initial mass remains after 90 years.

    Step-by-step explanation:

    The initial amount of the radioactive element is 16 grams. The half-life of the radioactive element is 30 years.

    The mass y (in grams) remaining after t years is given by

    y=16 (1/2) ^t/30, t ≥ 0

    Therefore, the amount of the initial mass that remains after 90 years would be

    y=16 (1/2) ^90/30

    y=16 (1/2) ^3

    y = 16 * 0.125 = 2 grams
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