document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=994683>Question 994683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You deposit $2000 in an account that earns simple interest at an annual rate of 4%. How long must you leave the money in the account to earn $500 in interest? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #613696 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=613696\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P=Po{1+0.04}^n, n=years<BR>\n" );
document.write( "2500/2000=(1.04)^n<BR>\n" );
document.write( "1.25=(1.04)^n<BR>\n" );
document.write( "ln both sides<BR>\n" );
document.write( "0.223=nln(1.04)=n(0.3922)<BR>\n" );
document.write( "without rounding, divide the 0.223 originally unrounded by 0.3922 unrounded.<BR>\n" );
document.write( "The result is 5.69 years.<BR>\n" );
document.write( "===<BR>\n" );
document.write( "Check.<BR>\n" );
document.write( "the first year, the interest is $80, and that increases slightly each year.  After 6 years, it would be $480 if the increase weren't factored in, so the answer is reasonable. </SPAN>\n" );
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