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Algebra
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An artifact was found and tested for its carbon-14 content. If 84% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? (Carbon-14 has a half-life of 5,730 years.)

Nov 25th, 2014

An artifact was found and tested for its carbon-14 content. 
If 84% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)?
Use that carbon-14 has half-life of 5,730 years.
----
A(t) = Ao(1/2)^(t/5730)
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0.84*Ao = Ao(1/2)^(t/5730)
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(1/2)^(t/5730) = 0.84
----
Take the log:


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(t/5730) = log(0.84)/log(1/2) = 0.2515
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t = 5730*0.2515 = 1441.32 years

Nov 25th, 2014

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