document.write( "Question 1147953: If the pollution of Lake Erie were stopped suddenly, it has been estimated that the level y of pollutants would decrease according to the formula
\n" ); document.write( "y = y0e−0.3821t, where t is the time in years and y0 is the pollutant level at which further pollution ceased. How many years would it take to clear 60% of the pollutants? (Round your answer to three decimal places.) \n" ); document.write( "

Algebra.Com's Answer #769331 by Alan3354(69443) $\"\"$ $\"About$

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If the pollution of Lake Erie were stopped suddenly, it has been estimated that the level y of pollutants would decrease according to the formula
\n" ); document.write( "y = y0e−0.3821t, where t is the time in years and y0 is the pollutant level at which further pollution ceased. How many years would it take to clear 60% of the pollutants?
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\n" ); document.write( "60% clear ---> 40% remaining = 0.4
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\n" ); document.write( " $\"0.4+=+1%2Ae%5E%28-0.3281t%29\"$
\n" ); document.write( " $\"-0.3281t+=+ln%280.4%29\"$
\n" ); document.write( "t =~ 2.7927 years\r
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