document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=459585>Question 459585</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me to solve this problem. A company invests a total of $30,000 or surplus funds at two annual rates of interest : 5% and 6.75%. It wishes an annual yield of no less than 6.5%. What is the least amount of money that the company must invest at the 6.75% rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #315140 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=315140\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please help me to solve this problem. A company invests a total of $30,000 or surplus funds at two annual rates of interest : 5% and 6.75%. It wishes an annual yield of no less than 6.5%. What is the least amount of money that the company must invest at the 6.75% rate?<BR>\n" );
document.write( "..<BR>\n" );
document.write( "let x=$ invested at 6.75% rate<BR>\n" );
document.write( "$30000-x=$invested at 5% rate<BR>\n" );
document.write( ".0675x+.05(30000-x)&#8805;.065(30000)<BR>\n" );
document.write( ".0675x+1500-.05x&#8805;1950<BR>\n" );
document.write( ".0175x&#8805;450<BR>\n" );
document.write( "x&#8805;450/.0175<BR>\n" );
document.write( "x&#8805;25714.29<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "The least amount of money that the company must invest at the 6.75% rate=$25714.28 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );