SOLUTION: an artifact was found and tested for its carbon-14 content. If 87% of the original carbon-14 was still present, what is its probably age (to the nearest 100 years)? (carbon-14 has

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: an artifact was found and tested for its carbon-14 content. If 87% of the original carbon-14 was still present, what is its probably age (to the nearest 100 years)? (carbon-14 has      Log On


   



Question 759656: an artifact was found and tested for its carbon-14 content. If 87% of the original carbon-14 was still present, what is its probably age (to the nearest 100 years)? (carbon-14 has a half-life of 5730 years.)
Answer by stanbon(75887) About Me  (Show Source):
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an artifact was found and tested for its carbon-14 content. If 87% of the original carbon-14 was still present, what is its probably age (to the nearest 100 years)? (carbon-14 has a half-life of 5730 years.)
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Equation:
0.87Ao = Ao*(1/2)^(t/5730)
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(1/2)^(t/5730) = 0.87
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(t/5730) = log(0.87)/log(1/2)
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t/5730 = 0.2009
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t = 1151.23 years
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Cheers,
Stan H.
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