document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1023393>Question 1023393</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose $5,000 is invested in an account at an annual interest rate of 2.2% compounded continuously. How long (to the nearest tenth of a year) will it take the investment to double in<BR>\n" );
document.write( "&#65532;&#65532;&#65532;&#65532;size? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #638885 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=638885\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For continuously compounded interest, we have the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%28t%29+=+A%5B0%5De%5E%28rt%29 ALIGN=MIDDLE  ALT=\"A%28t%29+=+A%5B0%5De%5E%28rt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so we plug in to find t...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10000+=+5000e%5E%28.022t%29 ALIGN=MIDDLE  ALT=\"10000+=+5000e%5E%28.022t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+=+e%5E%28.022t%29 ALIGN=MIDDLE  ALT=\"2+=+e%5E%28.022t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29+=+.022t ALIGN=MIDDLE  ALT=\"ln%282%29+=+.022t\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+=+ln%282%29%2F.022 ALIGN=MIDDLE  ALT=\"t+=+ln%282%29%2F.022\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "t = 31.5 years </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );