AIR MATH

Math Question

A sample of \( 200 \mathrm{~g} \) of an isotope decays to another isotope according to the function \( \mathrm{A}(\mathrm{t})=200 e^{-0.032 \mathrm{t}} \), where \( \mathrm{t} \) is the time in years. (a) How much of the initial sample will be left in the sample after 25 years? (b) How long will it take the initial sample to decay to half of its original amount? (a) After 25 years, about \( \square \mathrm{g} \) of the sample will be left. (Round to the nearest hundredth as needed.)

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