A radioactive material decays according to the function A(t) = Ao e^-.0244t where Ao, is the initial amount present and A is the amount present at time t (in years). Assume that a scientist has a sample of 500 grams of the radioactive material (a) What is the decay rate of the radioactive material?
(b) Graph the function using a graphing utility. (c) How much radioactive material is left after 10 years?
(d) When will only 300 grams of the radioactive material be left?
(e) What is the half-life of the radioactive material?