Answer:
4257 years
Step-by-step explanation:
Given that:
Half-life of carbon 14 (t1/2) = 5730
Estimated carbon 14 content = 60% of amount of carbon 14 = 0.6
Using the model :
m(t) = mo*e^-rt
Decay rate (r) = In2/t1/2 = 0.00012
mo = initial mass
Hence,
Mass of carbon 14 in mummy m(t) = 0.6mo
0.6mo = mo*e^-(0.00012 * t)
0.6 = e^-(0.00012 * t)
Take the ln of both sides
In(0.6) = - 0.00012t
−0.510825 = - 0.00012t
t = 0.510825 / 0.00012
t = 4256.875
t = 4257 (nearest whole number)
