document.write( "Question 822517: Carbon 14\r
\n" ); document.write( "\n" ); document.write( "The amount of carbon 14 remaining after t years is found by the formula v=v0e^-0.0001205t, where v0 is the original amount of carbon 14. If a fossil originally contained 60 grams of carbon 14, and now contains 40 grams of carbon 14, how old is the fossil?
\n" ); document.write( "* the 0 beside the v is a base exponent. \n" ); document.write( "
Algebra.Com's Answer #494902 by TimothyLamb(4379)\"\" \"About 
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\n" ); document.write( "v = K*e^(-0.0001205t)
\n" ); document.write( "K = 60 grams
\n" ); document.write( "---
\n" ); document.write( "40 = 60*e^(-0.0001205t)
\n" ); document.write( "40/60 = e^(-0.0001205t)
\n" ); document.write( "ln( 40/60 ) = ln( e^(-0.0001205t) )
\n" ); document.write( "ln( 40/60 ) = (-0.0001205)t
\n" ); document.write( "t = ln( 40/60 )/(-0.0001205)
\n" ); document.write( "t = 3364.8557
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\n" ); document.write( "answer:
\n" ); document.write( "the fossil is about 3365 years old
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