document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=892638>Question 892638</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An account pays 5% interest, compounded continuously. How long will it take for the investment to double? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #540661 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=540661\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An account pays 5% interest, compounded continuously. How long will it take for the investment to double?<BR>\n" );
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document.write( "A(t) = P*e^(rt)<BR>\n" );
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document.write( "Your Problem:<BR>\n" );
document.write( "2P = P*e^(0.05t)<BR>\n" );
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document.write( "e^(0.05t) = 2<BR>\n" );
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document.write( "0.05t = ln(2)<BR>\n" );
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document.write( "t = (ln(2))/0.05<BR>\n" );
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document.write( "t = 13.86 years<BR>\n" );
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document.write( "It doubles in the 14th year.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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