document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066955>Question 1066955</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The yearly depreciation rate for a car is modeled by r=1-(V/C)^1/8 , where V is the value of the car after n years and C is the orignal cost.<BR>\n" );
document.write( "a. Determine the depreciation rate for a car the originally cost $14,000 and is worth $10,000 after 5 years, Round to the nearest tenth of a percent.<BR>\n" );
document.write( "b. Determine the original cost of a car that has a yearly depreciation rate of 18% and is worth $14,000 after 3 years. Round to the nearest $100.<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 #682185 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=682185\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The yearly depreciation rate for a car is modeled by r=1-(V/C)^1/8 , where V is the value of the car after n years and C is the orignal cost.<BR>\n" );
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document.write( "a. Determine the depreciation rate for a car the originally cost $14,000 and is worth $10,000 after 5 years, Round to the nearest tenth of a percent.<BR>\n" );
document.write( "r = 1-(10,000/14000)^(1/8) = 1-(5/7)^(1/8) = 0.041 = 4.1%<BR>\n" );
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document.write( "b. Determine the original cost of a car that has a yearly depreciation rate of 18% and is worth $14,000 after 3 years. Round to the nearest $100.<BR>\n" );
document.write( "0.18 = 1-(14000/C)^(1/8)<BR>\n" );
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document.write( "0.82 = (14000/C)^(1/8)<BR>\n" );
document.write( "0.204 = 14000/C<BR>\n" );
document.write( "C = 14000/0.204<BR>\n" );
document.write( "Original cost = $68,488.43<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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