The burial cloth of an Egyptian mummy is estimated to contain 56% of the carbon-14 it contained originally. How long ago was the mummy buried? (the half-life of carbon-14 is 5730). Please round the answer to the nearest tenth. I have figured that:

Question

m(t) = Moe(-ln2/5730) is a starting point

Answer 1

Let
P₁₄ = fraction of C₁₄ found in sample (0.56)
T_1/2 = radioactive half life (5730 years)
Then
Age of sample
=T_1/2*(ln(P₁₄)/ln(0.5)) (Before present)
=5730*(ln(0.56)/ln(0.5)) (BP)
=4793 (BP)