document.write( "Question 618620: The amount of carbon-14 located in animal bones after t years is given by P(t)=Poe^-0.00012t a bone has lost 19% of its carbon-14 how old is the bone? How old is a bone that has lost 23%? \n" ); document.write( "
Algebra.Com's Answer #389009 by nerdybill(7384)\"\" \"About 
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The amount of carbon-14 located in animal bones after t years is given by P(t)=Poe^-0.00012t a bone has lost 19% of its carbon-14 how old is the bone?
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\n" ); document.write( "P(t)=Poe^-0.00012t
\n" ); document.write( "(1-.19)Po = Poe^(-0.00012t)
\n" ); document.write( ".81Po = Poe^(-0.00012t)
\n" ); document.write( "dividing both sides by Po:
\n" ); document.write( ".81 = e^(-0.00012t)
\n" ); document.write( "take ln of both sides:
\n" ); document.write( "ln(.81) = -0.00012t
\n" ); document.write( "ln(.81)/(-0.00012) = t
\n" ); document.write( "1756 years = t
\n" ); document.write( ".
\n" ); document.write( "How old is a bone that has lost 23%?
\n" ); document.write( "P(t)=Poe^-0.00012t
\n" ); document.write( "(1-.23)Po = Poe^(-0.00012t)
\n" ); document.write( "(.77)Po = Poe^(-0.00012t)
\n" ); document.write( "dividing both sides by Po:
\n" ); document.write( ".77 = e^(-0.00012t)
\n" ); document.write( "take ln of both sides:
\n" ); document.write( "ln(.77) = -0.00012t
\n" ); document.write( "ln(.77)/(-0.00012) = t
\n" ); document.write( "2178 years = t
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