Ageologist in south america discovers a bird skeleton that contains 80% of its original amount of c-14. n0= initial amont of c-14 (at time t=0) n= amount of c-14 at time t t= time, in years k= 0.0001 find the age of the bird skeleton to the nearest year

A geologist in South America discovers a bird skeleton that contains 80% of its original amount of C-14

We use formula

N0= initial amont of C-14 (at time t=0)

N= amount of C-14 at time t

t= time, in years

k= 0.0001

N is 80% of N0 that is

Divide both sides by N_o

Take ln on both sides

ln(0.8) = -0.0001t ln(e)

ln(0.8) = -0.0001t

Divide both sides by -0.001

t = 2231.435513

The age of the bird skeleton is 2231 years old