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?

Question

Valeria Lloyd

Mathematics

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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Answers (1)

Know the Answer?

Olive Lamb · Answer 1

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

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 byy=16 (1/2) ^t/30, t ≥ 0.How much of the initial mass remains after 90 years?

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?