document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=104951>Question 104951</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Value of car 2 yrs after it was bought = 14300, 4 yrs = 10200, what is depreciation rate? Is 2050 right and how do you find the yrs it will take to reach 0 value. I tried but now I am stuck. Please help if you will, and thanks again for the help!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76403 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=76403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The assumption is that the depreciation rate is linear. <BR>\n" );
document.write( "2 yrs after = $14,300 <BR>\n" );
document.write( "4 yrs after = $10,200<BR>\n" );
document.write( "Depreciation Rate = DR<BR>\n" );
document.write( "DR=(Value(2)-Value(1))/(Time(2)-Time(1))<BR>\n" );
document.write( "DR = ($10200-$14300)/(4-2)yr<BR>\n" );
document.write( "DR = -$2050/yr. <BR>\n" );
document.write( "The negative rate means that you lose value as time goes on, that is,  depreciates. <BR>\n" );
document.write( "If you look at the DR equation, it looks like a slope calculation. <BR>\n" );
document.write( "In fact, the rate is the slope of the value function, V(t). <BR>\n" );
document.write( "Let's find the intercept. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%28t%29+=+mt%2Bb ALIGN=MIDDLE  ALT=\"V%28t%29+=+mt%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%28t%29+=+-2050t%2Bb ALIGN=MIDDLE  ALT=\"V%28t%29+=+-2050t%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "At 2 years,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%282%29+=+-2050%282%29%2Bb+=+14300 ALIGN=MIDDLE  ALT=\"V%282%29+=+-2050%282%29%2Bb+=+14300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=14300+%2B+2%282050%29 ALIGN=MIDDLE  ALT=\"b=14300+%2B+2%282050%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=18400 ALIGN=MIDDLE  ALT=\"b=18400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=V%28t%29=18400-2050t ALIGN=MIDDLE  ALT=\"V%28t%29=18400-2050t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "At t=0 years, the car is brand new and its value was $18,400. <BR>\n" );
document.write( "When V(t)=0, what will t be?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18400-2050t=0 ALIGN=MIDDLE  ALT=\"18400-2050t=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2050t=-18400 ALIGN=MIDDLE  ALT=\"-2050t=-18400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t=8.97 years, almost 9 years old. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );