document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=293726>Question 293726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> FIND A, if $7000 is invested at 8% compounded continously for 2 years.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if $400 is invested at 3% compunded continously, how many years(to the nearest tenth) would it take for the investment to double? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #211976 by </B><A HREF=/tutors/aboutme.mpl?userid=alex224><B>alex224(8)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=alex224><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=211976\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First you need to know the continuous compounding formula and it is A=Pe^rt\r<BR>\n" );
document.write( "\n" );
document.write( "A=ammount  <BR>\n" );
document.write( "p=principle<BR>\n" );
document.write( "e=continuous button on calculator<BR>\n" );
document.write( "r=rate<BR>\n" );
document.write( "t=time\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "then plug in what you know\r<BR>\n" );
document.write( "\n" );
document.write( "A=7000e^(.08)(2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "then plug into a calculator and make sure to use enough parenthesis\r<BR>\n" );
document.write( "\n" );
document.write( "A=(7000e^(.08)(2))\r<BR>\n" );
document.write( "\n" );
document.write( "the final answer should be\r<BR>\n" );
document.write( "\n" );
document.write( "$15166.02\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the next part of the problem is asking for time so you put in what you got for A and use the new information\r<BR>\n" );
document.write( "\n" );
document.write( "15166.02=400e^(.03)(t)\r<BR>\n" );
document.write( "\n" );
document.write( "first devide both sides by 400\r<BR>\n" );
document.write( "\n" );
document.write( "37.91505=e^.03t\r<BR>\n" );
document.write( "\n" );
document.write( "37.91505=1.03045t\r<BR>\n" );
document.write( "\n" );
document.write( "t=36.8 years\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );