document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058294>Question 1058294</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a) In 2006 a new Ford Focus costs $15,574. The value of a focus decreases exponentially over time. Write a Formula for the value of a Focus that was new in 2006. (You don't know the value of the decay factor yet). \r<BR>\n" );
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document.write( "So would I use this formula: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28t%29=P%5Bo%5Db%5Et ALIGN=MIDDLE  ALT=\"P%28t%29=P%5Bo%5Db%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "P(2006)= 15,574(1-b)^1\r<BR>\n" );
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document.write( "b) A 2 year old Focus costs $11,788. Find the decay factor and percent rate of depreciation.\r<BR>\n" );
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document.write( "c)How much would a 4 year old Focus cost?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673331 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39623)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=673331\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> b will contain the decay factor if you are using that formula shown.  You have two points,  (t,P).  Try re-handling the variable so you have t=0 for year 2006 and t=2 for year 2008.  Your two points are  (0,15574) and (2,11788).\r<BR>\n" );
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document.write( "You choose the base you want, but  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28P%29%29=log%28%28P%5Bo%5D%29%29%2Blog%28%28b%5Et%29%29 ALIGN=MIDDLE  ALT=\"log%28%28P%29%29=log%28%28P%5Bo%5D%29%29%2Blog%28%28b%5Et%29%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=log%28%28P%29%29=t%2Alog%28%28b%29%29%2Blog%28%28P%5Bo%5D%29%29 ALIGN=MIDDLE  ALT=\"log%28%28P%29%29=t%2Alog%28%28b%29%29%2Blog%28%28P%5Bo%5D%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but not sure if this is necessary.\r<BR>\n" );
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document.write( "Look at the second point:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11788=15574%2Ab%5E2 ALIGN=MIDDLE  ALT=\"11788=15574%2Ab%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=11788%2F15574 ALIGN=MIDDLE  ALT=\"b%5E2=11788%2F15574\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2=0.7569026 ALIGN=MIDDLE  ALT=\"b%5E2=0.7569026\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b=0.87%29 ALIGN=MIDDLE  ALT=\"highlight%28b=0.87%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for model as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28P%28t%29=15574%280.87%29%5Et%29 ALIGN=MIDDLE  ALT=\"highlight%28P%28t%29=15574%280.87%29%5Et%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "You can break the b into its percents pieces as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.00-0.13 ALIGN=MIDDLE  ALT=\"1.00-0.13\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This is a yearly decrease of 13%.\r<BR>\n" );
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document.write( "The four-year value would be the evaluation  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%284%29=15574%2A%280.87%29%5E4 ALIGN=MIDDLE  ALT=\"P%284%29=15574%2A%280.87%29%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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