Financial Applications Involving Exponential Functions

5. The radioactive element cobalt-60 can be used to treat cancer patients. Radioactive elements decay into other elements in a predictable way over time. The percent of cobalt-60, A(t), left in a sample can be modelled by the half-life function A(A) = A0 2 5.3 where t represents the time, in years, after the initial time and Ao represents the initial amount, 100% of the cobalt-60. a) How long does it take for a sample of cobalt-60 to reduce to half its initial amount? b) What percent of cobalt-60 will remain in a sample after 10 years? Round to the nearest percent. ) Determine how long it will take, to the nearest tenth of a year, until only 10% of the cobalt-60 emains