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.

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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)   (Show Source): You can put this solution on YOUR website!
There used to be carbon-14 but now there is only 0.18a carbon-14. So . Taking the natural logarithm of both sides gives Dividing both sides by -0.00012 gives Since is about -1.7148, we have years old.
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