document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=979105>Question 979105</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how many years will it take for an initial investment of 10000 to grow 25000 at 6% interest compound continuously   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #600418 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=600418\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how many years will it take for an initial investment of 10000 to grow 25000 at 6% interest compound continuously  <BR>\n" );
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document.write( "FV = PV*e^(rt)<BR>\n" );
document.write( "25000 = 10000*e^(0.06t)<BR>\n" );
document.write( "e^(0.06t) = 2.5<BR>\n" );
document.write( "0.06t = ln(2.5)<BR>\n" );
document.write( "t = ln(2.5)/0.06 years<BR>\n" );
document.write( "t =~ 15.27 years </SPAN>\n" );
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