document.write( "Question 962216: Only 15% of the carbon-14 in a wooden bowl remains. How old is the bowl? (Carbon-14 has a half-life of 5,700 years. \n" ); document.write( "

Algebra.Com's Answer #587840 by josgarithmetic(39623) $\"\"$ $\"About$

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Growth Model, $\"y=I%2Ae%5E%28-kt%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"ln%28y%29=ln%28I%29-kt\"$
\n" ); document.write( " $\"ln%28y%29-ln%28I%29=-kt\"$
\n" ); document.write( " $\"kt=ln%28I%29-ln%28y%29\"$
\n" ); document.write( " $\"k=ln%28I%2Fy%29%2Ft\"$
\n" ); document.write( " $\"k=ln%281%2F0.5%29%2F5700\"$
\n" ); document.write( " $\"k=ln%282%29%2F5700\"$
\n" ); document.write( " $\"k=0.0001216\"$
\n" ); document.write( "-
\n" ); document.write( "Specific Growth Model for Carbon-14, $\"highlight_green%28y=Ie%5E%28-0.0001216t%29%29\"$ .\r
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\n" ); document.write( "\n" ); document.write( "How old is the bowl?
\n" ); document.write( " $\"kt=ln%28I%29-ln%28y%29\"$
\n" ); document.write( " $\"t=ln%28I%2Fy%29%2Fk\"$
\n" ); document.write( "Now, I=1,y=0.15.
\n" ); document.write( "Evaluate t.
\n" ); document.write( " $\"t=ln%281%2F0.15%29%2F0.0001216\"$
\n" ); document.write( " $\"highlight%28t=15600%29\"$ , years. \n" ); document.write( "

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