a biologist has a -gram sample of a radioactive substance. find the mass of the sample after three hours if it decreases according to a continuous exponential decay model, at a relative rate of per hour. do not round any intermediate computations, and round your answer to the nearest tenth.

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23-11-2022
Mathematics

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a biologist has a -gram sample of a radioactive substance. find the mass of the sample after three hours if it decreases according to a continuous exponential decay model, at a relative rate of per hour. do not round any intermediate computations, and round your answer to the nearest tenth.

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qwterabite qwterabite · Answer 1 · 2022-11-28T12:35:55-05:00

The mass of the radioactive sample after 5 hours is 1471g.

since we know that an exponential function is the form of y = abˣ, where where x, and y are the variables, b is the multiplier and a is the initial value.Considering y be the mass of sample remaining after x hours. It is given that the initial value a is 2952g sample, there is a decay of 13% per hour, so : b = 100% - 13% = 87% = 0.87

substituting the values in The equation is:

y = 2952(0.87)ˣ, so After 5 hours:

y = 2952(0.87)⁵ = 1471g

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A biologist has a 2952 -gram sample of a radioactive substance. Find the mass of the sample after five hours if it decreases according to a continuous exponential decay model, at a relative rate of 13% per hour. Do not round any intermediate computations, and round your answer to the nearest tenth.