A hiker in africa discovers a skull that contains 51% of its original amount of C-14. Find the of the scull to the nearest year

We can calculate the age by using the formula: final amount=initial amount * (1/2) ^ (time/half-life), or t=ln (final amount/initial amount) / (-0.693) * half-life. The half life of C-14 is 5730 years, and final amount=initial amount is 51% or 0.51, so t=ln (0.51) / (-0.693) * 5730=5567 years approximately.