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Algebra
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An artifact was found and tested for its carbon-14 content. If 79% 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.)

Dec 12th, 2014

An artifact was found and tested for its carbon-14 content. If 79% 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.)
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A(t) = Ao(1/2)^t
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0.79*Ao = Ao(1/2)^(t/5730)

(1/2)^(t/5730) = 0.79
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(t/5730) = log(0.79)/log(1/2) = 0.34
t = 0.34*5730 = 1948.63 = 2000 yrs when rounded up.
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Dec 12th, 2014

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