There are two radioactive​ elements, elements A and B. Element A decays into element B with a decay constant of ​5/yr, and element B decays into the nonradioactive isotope of element C with a decay constant of ​3/yr. An initial mass of kg of element A is put into a nonradioactive​ container, with no other source of elements​ A, B, and C. How much of each of the three elements is in the container after t​ 1yr? (The decay constant is the constant of proportionality in the statement that the rate of loss of mass of the element at any time is proportional to the mass of the element at that​ time.)
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Part 1
Write the equation for the​ mass, m(t), for each element based on time.