Suppose that $50,000 from a retirement account is invested in a large cap stock fund. After 20 yr, the value is $162,966.49. Part: I] I 2 Part 1 of2 (a) Use the model A = Pa?H to determine the average rate of return under continuous compounding. Round to the nearest tenth of a percent. Avoid rounding in intermediate steps. The average rate is approximater I I %. X S Use the model Q (t) = One for radiocarbon dating to answer the question. A sample from a mummified bull was taken from a certain place. The sample shows that 71% of the carbon-14 still remains. How old is the sample? Round to the nearest year. The sample is approximately years old. X 5Refer to the model Q (I) = 909 0'00012\" used for radiocarbon dating. At an archeological site, scientists uncovered human remains. A sample from a human bone taken from the site showed that 26.5% of the carbon-l4 still remained. Hem.r old is the sample? Round to the nearest year. Do not round intermediate calculations. The sample from the human remains is approximately years old