document.write( "Question 1004004: A fossilized leaf contains 12% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as the half-life of carbon 14. \n" ); document.write( "
Algebra.Com's Answer #620593 by fractalier(6550)\"\" \"About 
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We use the equation
\n" ); document.write( "A(t) = Ao*e^(-t/5600)
\n" ); document.write( "Here, A(t) = .12Ao so
\n" ); document.write( ".12Ao = Ao*e^(-t/5600)
\n" ); document.write( ".12 = e^(-t/5600)
\n" ); document.write( "Take the ln of both sides and get
\n" ); document.write( "-2.12 = -t/5600
\n" ); document.write( "t = 11873 years
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