Gray Stanley

08/03/2024 · Elementary School

16 The amount of a certain radioactive material (in grams) in a storage facility at time \( t \) is given by \( \mathrm{C}(\mathrm{t})=61 e^{-.16 \mathrm{t}} \), where time is measured in years. (a) How much of the radioactive material was present initially? (b) What is the half-life of the radioactive material? (Hint: For what value of \( t \) is \( \mathrm{C}(\mathrm{t})=30.5 \) ?) (a) Initially, there were \( \square \) grams of the radioactive material. (Round to two decimal places as needed.)