SOLVED:Radioactive Decay A radioactive substance decays in such a way that the amount of mass remaining after t days is given by the function m(t)=13 e^-0.015 t where m(t) is measured in kilograms. (a) Find the mass at time t=0 . (b) How much of the mass remains after 45 days?
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SOLVED:A radioactive substance decays according to the formula Q(t)=Q0 e^-k t where Q(t) denotes the amount of the substance present at time t (measured in years), Q0 denotes the amount of the substance present initially, and k (a positive constant) is the decay constant. a. Show that half-life of the substance is t̅=(ln2) / k b. Suppose a radioactive substance decays according to the formula Q(t)=20 e^-0.0001238 t How long will it take for the substance to decay to half the original amount?
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