document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=127015>Question 127015</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an investor is planning to invest $25,000 for one year. she plans to invest a portion of this money at 7% and the remaining at 12%. what is the maximum amount of money that can be invested at 7% in order to make at least $2,450 for the year? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93085 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=93085\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be amt. invested at 7%.<BR>\n" );
document.write( ".07x+.12(25000-x)=2450<BR>\n" );
document.write( ".07x+3000-.12x=2450<BR>\n" );
document.write( "-.05x+3000-3000=2450-3000<BR>\n" );
document.write( "-.05x=-550<BR>\n" );
document.write( "-.05x/-.05=-550/-.05<BR>\n" );
document.write( "x=$11,000.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "11000*.07=770<BR>\n" );
document.write( "14000*.12=1680<BR>\n" );
document.write( "770+1680=2450<BR>\n" );
document.write( ".<BR>\n" );
document.write( "If 1 more penny were invested at 7%, that would leave 1 less penny to be invested at 12% and the total return would be less than 2450.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );