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Kay [80]
2 years ago
13

In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment t

he mass of the substance was 500 grams and mass was decreasing by 8% per day. Determine the mass of the radioactive sample at the beginning of the 13th day of the experiment. Round to the nearest tenth (if necessary).
Mathematics
1 answer:
GaryK [48]2 years ago
5 0

Using an exponential function, it is found that the mass of the radioactive sample at the beginning of the 13th day of the experiment was of 169.1 mg.

<h3>What is an exponential function?</h3>

A decaying exponential function is modeled by:

A(t) = A(0)(1 - r)^t

In which:

  • A(0) is the initial value.
  • r is the decay rate, as a decimal.

At the beginning of the first day of the experiment the mass of the substance was 500 grams and mass was decreasing by 8% per day, hence A(0) = 500, r = 0.08, and the equation is given by:

A(t) = A(0)(1 - r)^t

A(t) = 500(1 - 0.08)^t

A(t) = 500(0.92)^t

At the 13th day, the mass is given by:

A(13) = 500(0.92)^{13} = 169.1

More can be learned about exponential functions at brainly.com/question/25537936

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