SOLUTION: I could really use some help here. This is a crazy difficult problem. I am almost done with this class, but I need help breaking this down and solving. Thanks. The amount of&

Algebra ->  Probability-and-statistics -> SOLUTION: I could really use some help here. This is a crazy difficult problem. I am almost done with this class, but I need help breaking this down and solving. Thanks. The amount of&      Log On


   



Question 1130480: I could really use some help here. This is a crazy difficult problem. I am almost done with this class, but I need help breaking this down and solving. Thanks.
The amount of​ carbon-14 present in animal bones after t years is given by ​P(t)=
(P 0 e Superscript -0.00012 t)P0e −0.00012t.
A bone has lost 11​% of its​ carbon-14. How old is the​ bone?
The bone is ___years old.
​(Round to the nearest integer as​ needed.)

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y=pe%5E%28-0.00012t%29

1-0.11=1%2Ae%5E%28-0.00012t%29
0.89=e%5E%28-0.00012t%29
Take natural logs of both sides and solve for t.