SOLUTION: Carbon 14 The amount of carbon 14 remaining after t years is found by the formula v=v0e^-0.0001205t, where v0 is the original amount of carbon 14. If a fossil originally contai

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Carbon 14 The amount of carbon 14 remaining after t years is found by the formula v=v0e^-0.0001205t, where v0 is the original amount of carbon 14. If a fossil originally contai      Log On

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Question 822517: Carbon 14
The amount of carbon 14 remaining after t years is found by the formula v=v0e^-0.0001205t, where v0 is the original amount of carbon 14. If a fossil originally contained 60 grams of carbon 14, and now contains 40 grams of carbon 14, how old is the fossil?
* the 0 beside the v is a base exponent.
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
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v = K*e^(-0.0001205t)
K = 60 grams
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40 = 60*e^(-0.0001205t)
40/60 = e^(-0.0001205t)
ln( 40/60 ) = ln( e^(-0.0001205t) )
ln( 40/60 ) = (-0.0001205)t
t = ln( 40/60 )/(-0.0001205)
t = 3364.8557
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answer:
the fossil is about 3365 years old
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