1. The rate at which radioactive nuclei decay is proportional to the number of such nuclei that are present in a given sample. Half of the original number of radioactive nuclei have undergone disintegration in a period of 1000 years. a) What percentage of the original radioactive nuclei will remain after 4000 years? b) In how many years will only one-tenth of the original number remain?

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A: This question is based on application of differential equation.

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A: topic - exponential function

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A: model is  A=A0ektfor half-life put A=A02thenA02=A0ektsolving for t, we get k=-ln(2)t

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Q: An

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