document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=551355>Question 551355</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Annual sales S for a particular product t years after it is introduced is given by the function S=2000/1+4e^-t/2. When will sales reach 1100 units per year? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #359782 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=359782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Annual sales S for a particular product t years after it is introduced is given by the function S=2000/1+4e^-t/2. When will sales reach 1100 units per year?<BR>\n" );
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document.write( "Assume the equation is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=2000%2F%28%281%2B4e%5E%28-t%2F2%29%29%29 ALIGN=MIDDLE  ALT=\"S=2000%2F%28%281%2B4e%5E%28-t%2F2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "1100 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000%2F%28%281%2B4e%5E%28-t%2F2%29%29%29 ALIGN=MIDDLE  ALT=\"2000%2F%28%281%2B4e%5E%28-t%2F2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1100%281%2B4e%5E%28-t%2F2%29%29 ALIGN=MIDDLE  ALT=\"1100%281%2B4e%5E%28-t%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2000<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2B4e%5E%28-t%2F2%29%29 ALIGN=MIDDLE  ALT=\"%281%2B4e%5E%28-t%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000%2F1100 ALIGN=MIDDLE  ALT=\"2000%2F1100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2B4e%5E%28-t%2F2%29%29 ALIGN=MIDDLE  ALT=\"%281%2B4e%5E%28-t%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.8182<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284e%5E%28-t%2F2%29%29 ALIGN=MIDDLE  ALT=\"%284e%5E%28-t%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.8182 - 1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284e%5E%28-t%2F2%29%29 ALIGN=MIDDLE  ALT=\"%284e%5E%28-t%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .8182<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28e%5E%28-t%2F2%29%29 ALIGN=MIDDLE  ALT=\"%28e%5E%28-t%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.8182%2F4 ALIGN=MIDDLE  ALT=\".8182%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28e%5E%28-t%2F2%29%29 ALIGN=MIDDLE  ALT=\"%28e%5E%28-t%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .2045<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%5E%28-t%2F2%29%29 ALIGN=MIDDLE  ALT=\"ln%28e%5E%28-t%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = ln(.2045)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-t%2F2 ALIGN=MIDDLE  ALT=\"-t%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -1.587; the nat log of e = 1<BR>\n" );
document.write( "t = -1.587 * -2<BR>\n" );
document.write( "t = +3.174 yrs; for sales to reach 1100 units </SPAN>\n" );
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