A radioactive material decays according to the function A t Ae 0 0244t where A 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 40 years d When will only 300 grams of the radioactive material be left e What is the half life of the radioactive material