document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=720429>Question 720429</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a labatory, a culture increases from 30 to 195 organisms in 5 hours. What is the hourly growth rate in the growth formula y=a(1+r)^t </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #441825 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=441825\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     In a labatory, a culture increases from 30 to 195 organisms in 5 hours. What is the hourly growth rate in the growth formula y=a(1+r)^t<BR>\n" );
document.write( ".<BR>\n" );
document.write( "y=a(1+r)^t<BR>\n" );
document.write( "The problem gives us:<BR>\n" );
document.write( "y as 195<BR>\n" );
document.write( "a as 30<BR>\n" );
document.write( "t as 5<BR>\n" );
document.write( ".<BR>\n" );
document.write( "195=30(1+r)^5<BR>\n" );
document.write( "195/30 = (1+r)^5<BR>\n" );
document.write( "6.5 =  (1+r)^5<BR>\n" );
document.write( "6.5^(1/5) =  1+r<BR>\n" );
document.write( "6.5^(.2) =  1+r<BR>\n" );
document.write( "6.5^(.2) -  1 =  r<BR>\n" );
document.write( "1.454 - 1 = r<BR>\n" );
document.write( "0.454 = r<BR>\n" );
document.write( "45.4% = r<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );