document.write( "Question 890809: An artifact was found and tested for its carbon-14 content. If 72% of the original carbon-14 was still present, what is its probable age ( to the nearest 100 years)? (Carbon-14 has a half-life of 5,730 years. \n" ); document.write( "

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An artifact was found and tested for its carbon-14 content.
\n" ); document.write( " If 72% of the original carbon-14 was still present, what is its probable age
\n" ); document.write( "( to the nearest 100 years)? (Carbon-14 has a half-life of 5,730 years.
\n" ); document.write( ":
\n" ); document.write( "Using the radioactive decay formula: A = Ao*2^(-t/h), where:
\n" ); document.write( "A = Resulting amt after t time
\n" ); document.write( "Ao = Initial amt
\n" ); document.write( "t = time of decay
\n" ); document.write( "h = half-life of substance
\n" ); document.write( ":
\n" ); document.write( "We will us 1 as the Initial amt, the resulting amt =.72
\n" ); document.write( "1 * 2^(-t/5730) = .72
\n" ); document.write( "Using nat logs
\n" ); document.write( " $\"-t%2F5730\"$ *ln(2) = ln(.72)
\n" ); document.write( "t = -5730 * $\"ln%28.72%29%2Fln%282%29\"$
\n" ); document.write( "t = 2715.6 ~ 2700 yrs \n" ); document.write( "

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