document.write( "Question 177046: A culture contains 10 000 bacteria, and grows at a rate of 15% per hour.\r
\n" ); document.write( "\n" ); document.write( "a) Write an equation expressing the population, P in thousands as a function of n, the time in hours.\r
\n" ); document.write( "\n" ); document.write( "b) Solve your equation from part a) for n
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #132248 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A culture contains 10 000 bacteria, and grows at a rate of 15% per hour.
\n" ); document.write( ";
\n" ); document.write( "a) Write an equation expressing the population, P in thousands as a function of n, the time in hours.
\n" ); document.write( "P(n) = Ao*(1.15^n)
\n" ); document.write( "where
\n" ); document.write( "P = amt after n hrs (in thousands)
\n" ); document.write( "Ao = initial amt (in thousands)
\n" ); document.write( "n = time in hrs
\n" ); document.write( ";
\n" ); document.write( "b) Solve your equation from part a) for n
\n" ); document.write( "10*(1.15^n) = P
\n" ); document.write( "1.15^n = \"P%2F10\"
\n" ); document.write( "log(1.15^n) = log(.1P)
\n" ); document.write( ":
\n" ); document.write( ".0607n = log(.1P)
\n" ); document.write( "n = \"log%28.1P%29%2F.0607\" \n" ); document.write( "
\n" );