document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171447>Question 171447</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A recent downturn in economy is causing a man's 401(k) to lose value at a linear rate . On january 1 the account was worth $120,000 and on August 1 it was worth $96,000. If the current trend continues, on december 1 it will be worth how much? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126586 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=126586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using the line equation for this situation we get the 2 points:<BR>\n" );
document.write( "(0, 120,000) (8, 96,000) <BR>\n" );
document.write( "Y=mX+b where m=slope & b=Y intercept. <BR>\n" );
document.write( "First we find the slope:<BR>\n" );
document.write( "Slope=(Y2-Y1)/(X2-X1)<BR>\n" );
document.write( "Slope=(96,000-120,000)/(8-0)<BR>\n" );
document.write( "Slope=(-24,000)/8=-3,000<BR>\n" );
document.write( "12000=-3,000*0+b<BR>\n" );
document.write( "b=120000 the Y intercept.<BR>\n" );
document.write( "y=-3,000x+120,000 is the line equation.<BR>\n" );
document.write( "Y=-3,000*11+120,000<BR>\n" );
document.write( "Y=-33,000+120,000<BR>\n" );
document.write( "y=87,000 is the value of the account on Dec. 1. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );