document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=636769>Question 636769</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that the amount in an account earning continuous interest is given by the formula A=Pe^(rt) determine the of money that should be invested at a rate of 5% compounded continuously to produce a final balance of $18,000 in 25 years.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #401554 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=401554\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given that the amount in an account earning continuous interest is given by the formula A=Pe^(rt) determine the of money that should be invested at a rate of 5% compounded continuously to produce a final balance of $18,000 in 25 years.<BR>\n" );
document.write( "**<BR>\n" );
document.write( "P=initial investment<BR>\n" );
document.write( "r=annual interest rate=5%<BR>\n" );
document.write( "A=amt after t years<BR>\n" );
document.write( "t=25 years<BR>\n" );
document.write( "..<BR>\n" );
document.write( "18000=P*e^(.05*25)<BR>\n" );
document.write( "P=18000/e^1.25<BR>\n" );
document.write( "using calculator<BR>\n" );
document.write( "P=5157<BR>\n" );
document.write( "Amt of money that should be invested=$5157 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );