document.write( "Question 792092: Wood deposits recovered from an archaeological site contain 36% of the C-14 they originally contained. How long ago did the tree from which the wood was obtained die? (Round your answer to the nearest whole number.)
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Algebra.Com's Answer #479899 by ankor@dixie-net.com(22740)\"\" \"About 
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Wood deposits recovered from an archaeological site contain 36% of the C-14 they originally contained.
\n" ); document.write( " How long ago did the tree from which the wood was obtained die?
\n" ); document.write( " (Round your answer to the nearest whole number.)
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\n" ); document.write( "The radio-active decay formula: A = Ao*2^(-t/h), Where:
\n" ); document.write( "A = resulting amt after t time
\n" ); document.write( "Ao = initial amt (t-0)
\n" ); document.write( "t = time in yrs
\n" ); document.write( "h = half-life of substance (carbon 14 half-life is 5730 yrs)
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\n" ); document.write( "Let initial amt = 1, then resulting amt = .36
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\n" ); document.write( "\"2%5E%28-t%2F5730%29\" = .36
\n" ); document.write( "Using nat logs
\n" ); document.write( "\"-t%2F5730\"*ln(2) = ln(.36)
\n" ); document.write( "\"-t%2F5730\" = \"ln%28.36%29%2Fln%282%29\"
\n" ); document.write( "\"-t%2F5730\" = -1.47393
\n" ); document.write( "t = -5730 * -1.47393
\n" ); document.write( "t = 8,446 yrs ago
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