document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=605120>Question 605120</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem.<BR>\n" );
document.write( "A bank account earning continuously compounded interest doubles in value in 9 years. At the same interest rate, how long would it take the value in the account to triple? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #381557 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=381557\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A bank account earning continuously compounded interest doubles in value in 9 years. At the same interest rate, how long would it take the value in the account to triple?<BR>\n" );
document.write( "----<BR>\n" );
document.write( "A(t) = P*e^(rt)<BR>\n" );
document.write( "2P = P*e^(9r)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "e^(9r) = 2<BR>\n" );
document.write( "(9r) = ln(2)<BR>\n" );
document.write( "r = 0.077<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Solve:<BR>\n" );
document.write( "3P = P*e^(0.077t)<BR>\n" );
document.write( "e^(0.077t) = 3<BR>\n" );
document.write( "0.077t = ln(3)<BR>\n" );
document.write( "t = 14.27 years<BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );