document.write( "Question 1153002: Carbon-14 has a half-life of 5,730 years. A fossil is found that has 12% of the carbon-14 found in a living sample. How old is the fossil? (Round your answer to the nearest year.) \n" ); document.write( "
Algebra.Com's Answer #775169 by josgarithmetic(39629)\"\" \"About 
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\"y=pe%5E%28kx%29\"\r
\n" ); document.write( "\n" ); document.write( "\"1%2F2=1%2Ae%5E%285730k%29\"\r
\n" ); document.write( "\n" ); document.write( "\"1%2F2=e%5E%285730k%29\"\r
\n" ); document.write( "\n" ); document.write( "\"ln%281%2F2%29=5730k\"\r
\n" ); document.write( "\n" ); document.write( "\"-ln%282%29=5730k\"\r
\n" ); document.write( "\n" ); document.write( "\"k=-ln%282%29%2F5730\"\r
\n" ); document.write( "\n" ); document.write( "\"k=-0.000120968\"\r
\n" ); document.write( "\n" ); document.write( "-\r
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\n" ); document.write( "\n" ); document.write( "\"y=pe%5E%28-0.000120968x%29\"
\n" ); document.write( "You want to find x for p=100 and y=12.\r
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\n" ); document.write( "\n" ); document.write( "Taking logarithms of right and left sides,
\n" ); document.write( "and a few algebra steps:\r
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\n" ); document.write( "\n" ); document.write( "\"x=%28ln%2812%29-ln%28100%29%29%2F%28-0.000120968%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28x=%28ln%28100%29-ln%2812%29%29%2F0.000120968%29\"
\n" ); document.write( "Compute, and do the rounding that you need.
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