document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1163089>Question 1163089</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the time it takes for $610,000 to double when invested at an annual interest rate of 20% compounded continuously  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #787051 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=787051\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The formula for continuous compounding is<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+Pe%5E%28rt%29 ALIGN=MIDDLE  ALT=\"A+=+Pe%5E%28rt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "P is the beginning principal<BR>\n" );
document.write( "A is the final amount<BR>\n" );
document.write( "r is the annual interest rate<BR>\n" );
document.write( "t is the number of years<br><BR>\n" );
document.write( "You know the interest rate; and you know you want the amount to double -- that is, you want A = 2P.  So<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2P+=+Pe%5E%28rt%29 ALIGN=MIDDLE  ALT=\"2P+=+Pe%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=e%5E%28rt%29+=+2 ALIGN=MIDDLE  ALT=\"e%5E%28rt%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=rt+=+ln%282%29 ALIGN=MIDDLE  ALT=\"rt+=+ln%282%29\"   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%2Fr ALIGN=MIDDLE  ALT=\"t+=+ln%282%29%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Substitute the given interest rate of 20% (0.20) and use a calculator.<br><BR>\n" );
document.write( "Note that the original amount is irrelevant; for a given interest rate, the doubling time is the same whether the original amount is a dollar or a million dollars.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );