document.write( "Question 857664: The half-life of a certain substance is 27. How long will it take for a sample of this substances to decay to 88% of it original amount? Use exponential decay model to solve. \"A=Aoe%5E%28kt%29\" \n" ); document.write( "
Algebra.Com's Answer #516721 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
Stating the time units for the half-life would be a good thing to do.\r
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\n" ); document.write( "\n" ); document.write( "A quantity, I, of the substance drops to I/2 in 27 times units:
\n" ); document.write( "\"1%2F2=1%2Ae%5E%28k%2A27%29\"---simply plugged-in the values about the half life...
\n" ); document.write( "\"ln%281%2F2%29=ln%28e%5E%28k%2A27%29%29\"
\n" ); document.write( "\"27%2Ak%2Aln%28e%29=ln%281%2F2%29\"
\n" ); document.write( "\"k=%281%2F27%29ln%281%2F2%29\"
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\n" ); document.write( "The value in decimalized form for k is \"highlight_green%28-0.02567%29\".\r
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\n" ); document.write( "\n" ); document.write( "Now your question is, \"t=what\" for \"A=0.88%2AA%5Bo%5D\" ?
\n" ); document.write( "\"highlight%280.88=1%2Ae%5E%28-0.02567%2At%29%29\"
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