document.write( "Question 1143472: An unknown radioactive element decays into non-radioactive substances. In
\n" ); document.write( "700 days the radioactivity of a sample decreases by 29 percent. \r
\n" ); document.write( "\n" ); document.write( "(a) What is the half-life of the element?
\n" ); document.write( "half-life:
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\n" ); document.write( "\n" ); document.write( "(b) How long will it take for a sample of
\n" ); document.write( "100mg to decay to 54mg?
\n" ); document.write( "time needed:
\n" ); document.write( " (days)
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Algebra.Com's Answer #764278 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "In 700 days the radioactivity of a sample decreases by 29 percent.
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\n" ); document.write( "\n" ); document.write( "\"y=pe%5E%28-kx%29\"
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\n" ); document.write( "\"ln%28y%29=ln%28p%29-kx\"
\n" ); document.write( "\"ln%28y%29-ln%28p%29=-kx\"
\n" ); document.write( "\"kx=ln%28p%29-ln%28y%29\"
\n" ); document.write( "\"k=%28ln%28p%29-ln%28y%29%29%2Fx\"\r
\n" ); document.write( "\n" ); document.write( "\"k=%28ln%28p%2Fy%29%29%2Fx\"
\n" ); document.write( "-\r
\n" ); document.write( "\n" ); document.write( "\"k=ln%28100%2F71%29%2F700\"\r
\n" ); document.write( "\n" ); document.write( "\"k=0.0004893\"\r
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\n" ); document.write( "\"highlight_green%28y=pe%5E%28-0.0004893x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "HALF-LIFE\r
\n" ); document.write( "\n" ); document.write( "\"x%5Bhalf%5D=ln%282%29%2Fk\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5Bhalf%5D=ln%282%29%2F0.0004893\"\r
\n" ); document.write( "\n" ); document.write( "1416
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