document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=964590>Question 964590</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2000 dollars is invested in a bank account at an interest rate of 7 percent per year, compounded continuously. Meanwhile, 16000 dollars is invested in a bank account at an interest rate of 4 percent compounded annually. \r<BR>\n" );
document.write( "\n" );
document.write( "To the nearest year, When will the two accounts have the same balance? \r<BR>\n" );
document.write( "\n" );
document.write( "I understand how to do one equation like this (A=Pe^(r*t)).. but I don't understand how to find the common ground between the two. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #589454 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=589454\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Yes, the first one is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B1%5D=Pe%5E%28rt%29 ALIGN=MIDDLE  ALT=\"A%5B1%5D=Pe%5E%28rt%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The second is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A%5B2%5D=P%281%2Bi%29%5Et ALIGN=MIDDLE  ALT=\"A%5B2%5D=P%281%2Bi%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Set them equal to each other,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000e%5E%280.07t%29=16000%281.04%29%5Et ALIGN=MIDDLE  ALT=\"2000e%5E%280.07t%29=16000%281.04%29%5Et\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=ex1.JPG\">.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".\r<BR>\n" );
document.write( "\n" );
document.write( "Looks like it takes quite a while,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=67.6 ALIGN=MIDDLE  ALT=\"t=67.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > years\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );