document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1024605>Question 1024605</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The population of a Midwestern city decays exponentially. If the population decreased from 900,000 to 800,000 from 2003 to 2005, what will be the population in 2008? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #639993 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=639993\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The population of a Midwestern city decays exponentially. If the population decreased from 900,000 to 800,000 from 2003 to 2005, what will be the population in 2008? <BR>\n" );
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document.write( "Let 2003 be the zero year; then 2005 is the three year, and 2008 the 5 year.<BR>\n" );
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document.write( "P = ab^x<BR>\n" );
document.write( "---<BR>\n" );
document.write( "P(3) = ab^3 = 800000<BR>\n" );
document.write( "P(0) = ab^0 = 900000<BR>\n" );
document.write( "---<BR>\n" );
document.write( "a = 900000<BR>\n" );
document.write( "Solve for \"b\"::<BR>\n" );
document.write( "b^3 = 8/9 <BR>\n" );
document.write( "b = 2/cbrt(9) <BR>\n" );
document.write( "----<BR>\n" );
document.write( "Equation::<BR>\n" );
document.write( "P(x) = 900000^x<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Ans: P(5) = 900000 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );