document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=822911>Question 822911</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this question. Thank you <BR>\n" );
document.write( "The number of rabbits in a certain area is increasing exponentially. If the number of rabbits increases from 200 to 300 in 8 months, find the number of rabbits after 2 years(from the initial 200). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #495391 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=495391\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The number of rabbits in a certain area is increasing exponentially. If the number of rabbits increases from 200 to 300 in 8 months, find the number of rabbits after 2 years(from the initial 200).<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Exponential growth using e<BR>\n" );
document.write( "Let k = the monthly growth constant <BR>\n" );
document.write( "200*e^(8k) = 300<BR>\n" );
document.write( "e^(8k) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300%2F200 ALIGN=MIDDLE  ALT=\"300%2F200\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "e^(8k) = 1.5<BR>\n" );
document.write( "8k = ln(1.5)<BR>\n" );
document.write( "8k = .405465<BR>\n" );
document.write( "k = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.405465%2F8 ALIGN=MIDDLE  ALT=\".405465%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "k = .05068<BR>\n" );
document.write( "\"find the number of rabbits after 2 years(from the initial 200).\"<BR>\n" );
document.write( "using 24 months<BR>\n" );
document.write( "200*e^(24*.05068) = 675 rabbits in 2 yrs<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Looks like this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10%2C+50%2C+-100%2C+1500%2C+200%2Ae%5E%28.05068x%29%2C+675%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-10%2C+50%2C+-100%2C+1500%2C+200%2Ae%5E%28.05068x%29%2C+675%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Green = 675<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );