document.write( "Question 1102964: The number of bacteria in a culture begins with approximately 10,000 organisms at the start of an experiment. if the bacteria doubles every 5 hours find the following:
\n" ); document.write( "a. A model of the form P(t) = Poekt that represents the population P(t) of bacteria after t hours. Round k to 4 decimal places.
\n" ); document.write( "b. Determine the amount of time required for the population to grow to 2,000,000. Round to the nearest hour.
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Algebra.Com's Answer #717669 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
\"p=10000e%5E%28kt%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"20000=10000e%5E%285k%29\"
\n" ); document.write( "\"e%5E%285k%29=2\"
\n" ); document.write( "\"ln%28e%5E%285k%29%29=ln%282%29\"
\n" ); document.write( "\"5k=ln%282%29\"
\n" ); document.write( "\"k=ln%282%29%2F5\"\r
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\n" ); document.write( "\n" ); document.write( "\"k=0.13862\"\r
\n" ); document.write( "\n" ); document.write( "-\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28p=10000e%5E%280.13862t%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "Find t if p=2000000.\r
\n" ); document.write( "\n" ); document.write( "\"10000e%5E%280.13862t%29=2000000\"
\n" ); document.write( "\"e%5E%280.13862t%29=2000000%2F10000\"
\n" ); document.write( "\"e%5E%280.13862t%29=200\"
\n" ); document.write( "\"0.13862t=ln%28200%29\"
\n" ); document.write( "\"t=ln%28200%29%2F0.13862\"\r
\n" ); document.write( "\n" ); document.write( "\"highlight%28t=38.2%29\"
\n" ); document.write( "to the nearest hour, \"highlight%28highlight%28t=38%29%29\"
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