document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=54687>Question 54687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> John Roberts has $42,180.53 in a brokerage account, and he plans to contribute an additional $5,000 to the account at the end of every year.  The brokerage account has an expected annual return of 12 percent.  If John's goal is to accumulate $250,000 in teh account, how many years will it take for John to reach his goal? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #36919 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=36919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> John Roberts has $42,180.53 in a brokerage account, and he plans to contribute an additional $5,000 to the account at the end of every year.  The brokerage account has an expected annual return of 12 percent.  If John's goal is to accumulate $250,000 in teh account, how many years will it take for John to reach his goal?<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "Let \"x\" be the number of years.<BR>\n" );
document.write( "(42180.53+5000x)(1.12x)=250000<BR>\n" );
document.write( "5600x^2+47242.1936x-250,000=0<BR>\n" );
document.write( "I graphed this and found x=3.68 years<BR>\n" );
document.write( "You might want to round that out to 4 yrs.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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