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Precalc question about carbon dating
A wooden artifact recovered from a tomb contains 35% of the carbon-14 that is present in living
trees. The half life of carbon-14 is 5730 years. How long ago was the artifact made?
Solution
N = No * ( 1/2) ^ ( t/ thalf)
0.35 No = No * (1/2) ^ ( t/5730)
t / 5730 = ln ( 0.35) / ln ( 0.5)
t = 8678.50 years

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Precalc question about carbon datingA wooden artifact recovered fr.pdf

  • 1. Precalc question about carbon dating A wooden artifact recovered from a tomb contains 35% of the carbon-14 that is present in living trees. The half life of carbon-14 is 5730 years. How long ago was the artifact made? Solution N = No * ( 1/2) ^ ( t/ thalf) 0.35 No = No * (1/2) ^ ( t/5730) t / 5730 = ln ( 0.35) / ln ( 0.5) t = 8678.50 years