Situation: find the age of the skull to the nearest year, enter the correct answer. a hiker in africa discovers a skull that contains 32% of its original amount of c- 14. done n = noekt 00000 no = inital amount of c-14 (at time t = 0) n = amount of c-14 at time t k = 0.0001 t = time, in years

11,394  years old

Step-by-step explanation:

The equation looks like this:

The only thing left up to us is to decide what value should go in for N.  Since we are told that 32% of the original amount is what the hiker finds, we are operating in percentages.  Before any decomposition took place, the amount of skull was 100%.  Filling in now we have:

Divide both sides by 32 to get

In order to get that t out of the exponential position that it is currently in, we will take the natural log of both sides, since a natural log "undoes" an e (that is because the base of a natural log is e).  Taking the ln of both sides and utilizing that rule for natural logs and e's gives us:

ln(3.125) = .0001t

Divide both sides by .0001 to get that

t = 11,394 years

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80