Question

Prehistoric cave paintings were discovered in a cave in France. the paint contain 25% of the original Carbon-14. Use the exponential decay model for carbon-14, A=A0e^-0.000121t to estimate the age of the paintings

Answer 1

The age of paintings is - 26,601 years .

Explanation:

Lets calculate-

A=
`0.25 A`o

Therefore ,

`A= A`o
`e^-^0^.^0^0^0^1^2^1^t`

`ln0.25=-0.000121t`

`-3.2188=-0.000121t`

`t=(-3.2188)/(-0.000121)`

t= 26,601.65

Therefore , the age of paintings is 26,601 years old.