SOLUTION: If a bome contains 94% of its original carbon-14, how old is the bome? (Carbon-14 has a half-life of 5730 years.)

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Question 1100964: If a bome contains 94% of its original carbon-14, how old is the bome? (Carbon-14 has a half-life of 5730 years.)
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!

Since the half life is 5730 years, the fraction of the original amount remaining after t years is
%281%2F2%29%5E%28t%2F5730%29

If 94% remains,
%281%2F2%29%5E%28t%2F5730%29+=+0.94
%28t%2F5730%29%2Alog%28.5%29+=+log%280.94%29
t%2F5730+=+log%280.94%29%2F%28log%28.5%29%29
t+=+5730%2A%28log%280.94%29%2Flog%28.5%29%29+=+511.5

The bone is about 511 years old.