SOLUTION: The amount of​ carbon-14 in an object is given by y=a e^-0.00012 t​, where a is the amount of​ carbon-14 originally in the​ object, and t is the age of the object in years.

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: The amount of​ carbon-14 in an object is given by y=a e^-0.00012 t​, where a is the amount of​ carbon-14 originally in the​ object, and t is the age of the object in years.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1158200: The amount of​ carbon-14 in an object is given by y=a e^-0.00012 t​, where a is the amount of​ carbon-14 originally in the​ object, and t is the age of the object in years. A fossil bone contains 18​% of its original​ carbon-14. What is the approximate age of the​ bone?
Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
There used to be a carbon-14 but now there is only 0.18a carbon-14. So e%5E%28-0.00012t%29=0.18. Taking the natural logarithm of both sides gives -0.00012t=ln%280.18%29 Dividing both sides by -0.00012 gives t=-ln%280.18%29%2F0.00012 Since ln%280.18%29 is about -1.7148, we have t=1.7148%2F0.00012=14290 years old.