document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=138538>Question 138538</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The compound amount with continuous compounding is given by A = P e^rt , where P is the principal, r the rate, and t the time in years. If the rate is 10%, find how long it takes for the money to double, that is for A = 2P. (ln 2 = 0.69315) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #101119 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=101119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+P+e%5E%28rt%29 ALIGN=MIDDLE  ALT=\"A+=+P+e%5E%28rt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  r=0.1 How long to double??\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+P+e%5E%28rt%29 ALIGN=MIDDLE  ALT=\"A+=+P+e%5E%28rt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2P+=+P+e%5E%280.1%2At%29 ALIGN=MIDDLE  ALT=\"2P+=+P+e%5E%280.1%2At%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%280.1%2At%29 ALIGN=MIDDLE  ALT=\"2+=+e%5E%280.1%2At%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+=+ln%28e%5E%280.1%2At%29%29 ALIGN=MIDDLE  ALT=\"ln%282%29+=+ln%28e%5E%280.1%2At%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.69315+=+0.1%2At ALIGN=MIDDLE  ALT=\"0.69315+=+0.1%2At\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6.9315+=+t+ ALIGN=MIDDLE  ALT=\"6.9315+=+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );