document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972858>Question 972858</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The value of a car after t years can be found using the formula V = C(1 - r)t, where V is the current value of the car, C is the original price of the car, and r is the rate of depreciation.\r<BR>\n" );
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document.write( "Solve the formula for r .\r<BR>\n" );
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document.write( "Raj bought a car 4.5 years ago for $25,000, and the current value of the car is $12,000. At what percentage rate has the car depreciated? Round your answer to the nearest whole number.<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 #595090 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=595090\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> V=C(1-r)^t (raise it to the t power)\r<BR>\n" );
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document.write( "12,000=25,000(1-r)^4.5 \r<BR>\n" );
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document.write( "12000=25000(1-r)^4.5<BR>\n" );
document.write( "(12000/25000) = (1-r)^4.5<BR>\n" );
document.write( "0.48=(1-r)^4.5\r<BR>\n" );
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document.write( "logs of both sides<BR>\n" );
document.write( "log 0.48= -0.319=4.5 log (1-r)<BR>\n" );
document.write( "(-0.319/4.5)=<BR>\n" );
document.write( " -.0701=log(1-r)\r<BR>\n" );
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document.write( "Now raise each to the 10 power\r<BR>\n" );
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document.write( "0.8495=1-r<BR>\n" );
document.write( "r= 0.1505 or 15.05%\r<BR>\n" );
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document.write( "(1-r)^4.5=0.48, and that is the ratio between the present and original value.\r<BR>\n" );
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