SOLUTION: Carbon 14 decays continously at the rate of 0.01245% per year. If 13% of the original carbon-14 remains in a specimen, estimate its age in years.

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Question 599271: Carbon 14 decays continously at the rate of 0.01245% per year. If 13% of the original carbon-14 remains in a specimen, estimate its age in years.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Carbon 14 decays continously at the rate of 0.01245% per year. If 13% of the original carbon-14 remains in a specimen, estimate its age in years.---------------------------------------
A(t) = Ao^t
------
0.13Ao = Ao^t
----
0.13 = 0.999875^t
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Take the ln of both sides:
t = ln(0.13)/ln(0.99875)
t = 1631 years
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Cheers,
Stan H.
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