document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=93143>Question 93143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5)	Suppose that the function P=13+45ln x  represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2000. \r<BR>\n" );
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document.write( "Carry all calculations to six decimals on each intermediate step when necessary. \r<BR>\n" );
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document.write( "a)	Use this model to approximate the percentage of spam in the year 2003.  \r<BR>\n" );
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document.write( "b)	Use this model to approximate the year that the percent of spam will reach 95% provided that law enforcement regarding spammers does not change. \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67921 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=67921\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose that the function P=13+45ln x represents the percentage of inbound e-mail in the U.S. that is considered spam, where x is the number of years after 2000. <BR>\n" );
document.write( "Carry all calculations to six decimals on each intermediate step when necessary. <BR>\n" );
document.write( "a) Use this model to approximate the percentage of spam in the year 2003. <BR>\n" );
document.write( "P=13+45ln x<BR>\n" );
document.write( "P(3) = 13 + 45ln3 = 62.437553 %<BR>\n" );
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document.write( "b) Use this model to approximate the year that the percent of spam will reach 95% provided that law enforcement regarding spammers does not change.<BR>\n" );
document.write( "95 = 13 + 45lnx<BR>\n" );
document.write( "82 = 45lnx<BR>\n" );
document.write( "lnx = (82/45)<BR>\n" );
document.write( "x = e^(82/45)<BR>\n" );
document.write( "x = 6.185589<BR>\n" );
document.write( "2000 + 6.185589 = 2006.185589<BR>\n" );
document.write( "Rounding to the nearest whole number you get the year 2006<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
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