document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=832730>Question 832730</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the value of a new car purchased for 36000 decreases 7.5% each year how long will it take for the value of the car to reach 20000 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #502174 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=502174\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  the value of a new car purchased for 36000 decreases 7.5% each year how long will it take for the value of the car to reach 20000<BR>\n" );
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document.write( "Each year it retains 0.925 of its last-year value.<BR>\n" );
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document.write( "Ans: V(t) = 36000*(0.925)^t<BR>\n" );
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document.write( "Solve: 36000(0.925)^t = 20000<BR>\n" );
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document.write( "t*log(0.925) = log(20/36)<BR>\n" );
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document.write( "t = log(5/9)/log(0.925)<BR>\n" );
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document.write( "t = 7.54 years<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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