document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=524103>Question 524103</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If $1000 is invested at 4.5% compounded continuously, how long will it take before the investment doubles? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #347582 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=347582\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If $1000 is invested at 4.5% compounded continuously, how long will it take before the investment doubles?<BR>\n" );
document.write( "----<BR>\n" );
document.write( "A(t) = P*e^(rt)<BR>\n" );
document.write( "2000 = 1000*e^(0.045t)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "e^0.045t = 2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Take the natural log to get:<BR>\n" );
document.write( "0.045t = ln(2)<BR>\n" );
document.write( "t = ln(2)/0.045<BR>\n" );
document.write( "t = 15.4 years<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "==================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );