SOLUTION: A bone fragment analyzed by archaeologists contains 60% of the carbon-14 that it is assumed to have had initially. How old is it?

SOLUTION: A bone fragment analyzed by archaeologists contains 60% of the carbon-14 that it is assumed to have had initially. How old is it?

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Question 1006959: A bone fragment analyzed by archaeologists contains 60% of the carbon-14 that it is assumed to have had initially. How old is it?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
We use the formula
A(t) = Ao*(1/2)^(t/5730)
.6Ao = Ao*(1/2)^(t/5730)
.6 = (1/2)^(t/5730)
ln .6 = ln (1/2)^(t/5730)
ln .6 = (t/5730) * ln (1/2)
t/5730 = (ln .6)/(ln 1/2)
t = 5730*(ln .6)/(ln 1/2) = 4223 years
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