document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=460474>Question 460474</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How long will it take $1100 to grow to $1900 at 6.5% interest compounded continuously? Round to the number of years to the nearest hundredth. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #315840 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=315840\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How long will it take $1100 to grow to $1900 at 6.5% interest compounded continuously? Round to the number of years to the nearest hundredth.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Apply continuous interest formula of:<BR>\n" );
document.write( "A = Pe^(rt)<BR>\n" );
document.write( "where<BR>\n" );
document.write( "A is 1900<BR>\n" );
document.write( "P is 1100<BR>\n" );
document.write( "r is .065<BR>\n" );
document.write( ".<BR>\n" );
document.write( "1900 = 1100e^(.065t)<BR>\n" );
document.write( "1900/1100 = e^(.065t)<BR>\n" );
document.write( "1.72727 = e^(.065t)<BR>\n" );
document.write( "ln(1.72727) = .065t<BR>\n" );
document.write( "ln(1.72727)/.065 = t<BR>\n" );
document.write( "8.41 years = t\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );