Ahiker in africa discovers a skull that contains 32% of its original amount of c-14. find the age of the skull.

9419.3 years.

Step-by-step explanation:

Let the initial amount of C-14 be 100 units.

We have been given that a hiker in Africa discovers a skull that contains 32% of its original amount of C-14. We are asked to find the age of the skull.

We will use half life formula to solve our given problem.

, where,

A = Amount left after t years,

a = Initial amount,

t = time,

h = Half life.

We know that half-life of C-14 is 5730 years.

32% of 100 units would be 32.

Now, we will take natural log of both sides.

Using log property , we will get:

Therefore, the age of skull is approximately 9419.3 years.

e^-kt = n/n0 = 0.79  

-kt = ln 0.79  

t = - ln 0.79/0.0001  

= 2357 years

step-by-step explanation: