document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199046>Question 1199046</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A computer that was purchased for $6000 depreciates at a rate of 13.4% per year. An equation modeling this is, f(x)=6000(0.866)x, where x is the number of years.\r<BR>\n" );
document.write( "\n" );
document.write( "What is the computer worth after 2 years?			\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "When will the value of the computer be $2530?	 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #832732 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=832732\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> after two years, the computer will be worth 6000 * .866 * .866 = 6000 * .866^2 = 4499.736.<BR>\n" );
document.write( "to find how long it takes for the computer to be equal o 2530, use the following formula.<BR>\n" );
document.write( "2530 = 6000 * .866 ^ n<BR>\n" );
document.write( "n is the number of years.<BR>\n" );
document.write( "divide both sides of the equation by 6000 to get:<BR>\n" );
document.write( "2530/6000 = .866 ^ n<BR>\n" );
document.write( "take the log of both sides of the equation to get:<BR>\n" );
document.write( "log(2530/6000) = log(.866 ^ n)<BR>\n" );
document.write( "by log rules, this becomes:<BR>\n" );
document.write( "log(2530/6000) = n * log(.866)<BR>\n" );
document.write( "solve for n to get:<BR>\n" );
document.write( "n = log(2530/6000) / log(.866) = 6.002209934.<BR>\n" );
document.write( "confirm by replacing n in the original equation to get:<BR>\n" );
document.write( "2530 = 6000 * .866 ^ 6.002209934.<BR>\n" );
document.write( "this becomes 2530 = 2530, confirming that vallue of n is correct.<BR>\n" );
document.write( "your solution is that the value of the computer will be 2530 in 6.002209934 years.<BR>\n" );
document.write( "round as required. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );