document.write( "Question 1028763: Solve the problem and express your answer to the nearest tenth. \r
\n" ); document.write( "\n" ); document.write( "For a certain strain of bacteria, the number of bacteria present after t hours is given by the equation
\n" ); document.write( "Q = Q0e0.23t,
\n" ); document.write( "where Q0 represents the initial number of bacteria. How long will it take 600 bacteria to increase to 6000 bacteria? \r
\n" ); document.write( "\n" ); document.write( "Please help me solve this problem. Thank you. \n" ); document.write( "

Algebra.Com's Answer #643836 by stanbon(75887) $\"\"$ $\"About$

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For a certain strain of bacteria, the number of bacteria present after t hours is given by the equation
\n" ); document.write( "Q = Qo*e^(0.23t_
\n" ); document.write( "where Qo represents the initial number of bacteria. How long will it take 600 bacteria to increase to 6000 bacteria?
\n" ); document.write( "------
\n" ); document.write( "6000 = 600*e^(0.23t)
\n" ); document.write( "----
\n" ); document.write( "e^(0.23t) = 10
\n" ); document.write( "------
\n" ); document.write( "0.23t = ln(10)
\n" ); document.write( "------
\n" ); document.write( "t = ln(10)/0.23
\n" ); document.write( "------
\n" ); document.write( "time = 10.01 hours
\n" ); document.write( "----------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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