Math  /  Algebra

QuestionA sample of 700 g of an isotope decays to another isotope according to the function A(t)=700e0.033t\mathrm{A}(\mathrm{t})=700 e^{-0.033 \mathrm{t}}, where 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 306.76 g of the sample will be left. (Round to the nearest hundredth as needed.) (b) After about \square years, the initial sample will decay to half of its original amount. (Round to the nearest hundredth as needed.)

Studdy Solution
(a) After 25 years, approximately **306.74** g of the sample will be left. (b) After approximately **21.00** years, the initial sample will decay to half of its original amount.

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