document.write( "Question 1115079: A bacterial culture has an initial population of 10,000. If its population declines to 5000 in
\n" ); document.write( "8 hours, when will its population be 4204? Assume that the population decreases
\n" ); document.write( "according to the exponential model.
\n" ); document.write( "

Algebra.Com's Answer #729982 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
\"y=Ie%5E%28-kx%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"10000e%5E%28-8k%29=5000\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"k=-ln%281%2F2%29%2F8\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"k=0.08664\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "MODEL: \"y=10000e%5E%28-0.08664x%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Use the model, let y=4204, and solve for x.\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x=10%29\"
\n" ); document.write( "
\n" );