document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1101029>Question 1101029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The value V of a stand by generator after t years of depreciation is given by the formula V(t)=57000e^(-0.2t)+3500. Approximately how many years will it take for the value to depreciate to $5000? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #715603 by </B><A HREF=/tutors/aboutme.mpl?userid=jorel1380><B>jorel1380(3719)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jorel1380><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=jorel1380><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=715603\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5000=57000e^-0.2t +3500<BR>\n" );
document.write( "1500=57000e^-0.2t<BR>\n" );
document.write( "0.02631578947368421052631578947368=e^-0.2t<BR>\n" );
document.write( "ln 0.02631578947368421052631578947368=ln e^-0.2t=-0.2t ln e=-0.2t<BR>\n" );
document.write( "t=18.188 years before the generator depriciates to $5000<BR>\n" );
document.write( "&#9786;&#9786;&#9786;&#9786; </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );