document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328584>Question 328584</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In 2005, comsumers recieved, on average, 3253 spam messages. The volume of spam messages per consumer is decreasing exponentially with the exponential decay rate of 13.7% per year. In what year, theoretically, will the average consumer receive 100 spam messages? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235551 by </B><A HREF=/tutors/aboutme.mpl?userid=galactus><B>galactus(183)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=galactus><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=galactus><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=235551\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since 2005 is the base year with 3253 messages, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=3253e%5E%28-.137t%29 ALIGN=MIDDLE  ALT=\"A=3253e%5E%28-.137t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let A=100 and solve for t, then add that value to 2005.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100=3253e%5E%28-.137t%29 ALIGN=MIDDLE  ALT=\"100=3253e%5E%28-.137t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F3253=e%5E%28-.137t%29 ALIGN=MIDDLE  ALT=\"100%2F3253=e%5E%28-.137t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28100%2F3253%29=-.137t ALIGN=MIDDLE  ALT=\"ln%28100%2F3253%29=-.137t\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28100%2F3253%29%2F-.137=25.417 ALIGN=MIDDLE  ALT=\"ln%28100%2F3253%29%2F-.137=25.417\"   DISABLED_style= \"max-width:90%; height:auto;\" > years in the future.\r<BR>\n" );
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document.write( "2005+25.417=sometime in the year 2030.  </SPAN>\n" );
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