document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=971373>Question 971373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How much should you invest in a continuously compounded account at an annually interest rate of 6% if you want exactly $8000 after four years? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #593904 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=593904\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How much should you invest in a continuously compounded account at an annually interest rate of 6% if you want exactly $8000 after four years?<BR>\n" );
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document.write( "Formula for a continuous compounding account: A=Pe^rt, P=initial investment, r=interest rate, t=years, A=amt after t-yrs<BR>\n" );
document.write( "For given problem:<BR>\n" );
document.write( "r=.06<BR>\n" );
document.write( "t=4<BR>\n" );
document.write( "A=8000<BR>\n" );
document.write( "..<BR>\n" );
document.write( "P=A/e^rt=8000/e^(.08*4)=8000/e^(.32)=5809.19<BR>\n" );
document.write( "How much should you invest in the continuously compounded account? $5809 </SPAN>\n" );
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