document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=618401>Question 618401</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ``Please help solve the problem.\r<BR>\n" );
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document.write( "The logistic growth function f(t) = 440/1+6.3e-0.28t describes the population of a species of butterflies  after they are introduced to a non-threatening habitat. What is the limiting size of the butterfly population that the habitat will sustain? ''. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #388900 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=388900\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It looks like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+440+ ALIGN=MIDDLE  ALT=\"+440+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the limit as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes very large<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28t%29+=+440+%2F+%28+1+%2B+6.3%2Ae%5E%28-.28t%29+%29+ ALIGN=MIDDLE  ALT=\"+f%28t%29+=+440+%2F+%28+1+%2B+6.3%2Ae%5E%28-.28t%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+e%5E%28-.28t+%29+ ALIGN=MIDDLE  ALT=\"+e%5E%28-.28t+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > approaches zero as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+ ALIGN=MIDDLE  ALT=\"+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes large, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28t%29+ ALIGN=MIDDLE  ALT=\"+f%28t%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > approaches <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+440%2F1+=+440+ ALIGN=MIDDLE  ALT=\"+440%2F1+=+440+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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