Archaeology: carbon-14 dating. The radioactive carbon-14 (14C) in an organism at the time...

Archaeology: carbon-14 dating. The radioactive carbon-14 (14C) in an organism at the time of its death decays according to the equation

A = A0e−0.000124t

where t is time in years and A0 is the amount of 14C present at time t = 0. (See Example 3 in Section 1.5.) Estimate the age of a skull uncovered in an archaeological site if 10% of the original amount of 14C is still present. [Hint: Find t such that A = 0.1A0.]