document.write( "Question 822995: Use Q(t)=Q sub 0 e^kt to solve: Find the half-life of a radioactive substance if 240 grams of the substance decays to 180 grams in 9 years.\r
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Algebra.Com's Answer #495234 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "Find the half-life of a radioactive substance
\n" ); document.write( "if 240 grams of the substance decays to 180 grams in 9 years.
\n" ); document.write( "The Idea is to 'personalize' \"Q%28t%29=Q%5B0%5De%5E%28-kt%29+\" by finding the 'k' value
\n" ); document.write( "according to the information given.
\n" ); document.write( "180/240 = e^-kt
\n" ); document.write( " .75 = e^-9k
\n" ); document.write( " ln(.75)/-9 = k = .0320
\n" ); document.write( " \"Q%28t%29=Q%5B0%5De%5E%28-.0320t%29+\"
\n" ); document.write( " Find the half-life of this radioactive substance: \"Q%28t%29%2FQ%5B0%5D+=+1%2F2\"
\n" ); document.write( " \".5+=+e%5E%28-.0320t%29+\"
\n" ); document.write( " ln(.5)/-.0320 = t = 21.66 yrs \n" ); document.write( "
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