document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1071872>Question 1071872</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The value V of a motor cycle that is t years old can be modeled by the function<BR>\n" );
document.write( "V = 16,500(0.82)^t<BR>\n" );
document.write( ". According to the model, when will the motor cycle be<BR>\n" );
document.write( "worth $4000?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #686795 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=686795\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4000=16500(0.82^t)<BR>\n" );
document.write( "divide both sides by 16500<BR>\n" );
document.write( "0.2424=0.82^t<BR>\n" );
document.write( "ln both sides<BR>\n" );
document.write( "-1.4171=t ln 0.82<BR>\n" );
document.write( "t= -1.4171/ln 0.82<BR>\n" );
document.write( "=(if I round only at the end) <BR>\n" );
document.write( "t=7.14 years </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );