document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=933535>Question 933535</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A used car has a value of $15,250 when it is purchased in 2012. The value of the car depreciates at a rate of 7.5% per year.\r<BR>\n" );
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document.write( "Write an exponential function that models the value of the car, y, over x years.<BR>\n" );
document.write( "To the nearest cent, what will be the value of the car after eight years?<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 #566871 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=566871\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = 15250 * (1-.075)^x\r<BR>\n" );
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document.write( "this simplifies to y = 15250 * .925^x\r<BR>\n" );
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document.write( "when x = 8, the value of the car is equal to 15250 * .925^8 = 8173.42\r<BR>\n" );
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document.write( "each year it's worth 7.5% less.\r<BR>\n" );
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document.write( "example:\r<BR>\n" );
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document.write( "in year 7 it was worth 8836.13\r<BR>\n" );
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document.write( "7.5% of 8836.13 = 662.71\r<BR>\n" );
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document.write( "subtract that from 8836.13 and you get 8173.42.\r<BR>\n" );
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document.write( "this happens every year.\r<BR>\n" );
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document.write( "the graph of the equation looks like this:\r<BR>\n" );
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document.write( "the horizontal line is at y = 8173 which intersects the graph of the equation in year 8.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-1%2C10%2C-1000%2C20000%2C15250%2A.925%5Ex%2C8173%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-1%2C10%2C-1000%2C20000%2C15250%2A.925%5Ex%2C8173%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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