document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196839>Question 1196839</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You have 50000 to invest. Some of your money will be put in a 5% per annual your ranted investment a rikkiey investment a 10% per  annual.if you hope to earn $4000 in investment at the end of one year how much money should he invest in each investment? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #829867 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=829867\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "(1) A typical formal algebraic setup for solving the problem....<br><BR>\n" );
document.write( "x = amount invested at 5%<BR>\n" );
document.write( "50000-x = amount invested at 10%<br><BR>\n" );
document.write( "The total earnings are $4000:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.05%28x%29%2B.10%2850000-x%29=4000 ALIGN=MIDDLE  ALT=\".05%28x%29%2B.10%2850000-x%29=4000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Basic algebra from there; I'll let you finish.<br><BR>\n" );
document.write( "(2) An informal solution (quick and easy, if a formal algebraic solution is not required)....<br><BR>\n" );
document.write( "$4000 earnings on an investment of $50,000 is a rate of 8%.<BR>\n" );
document.write( "8% is 3/5 of the way from 5% to 10% (view the three percentages on a number line if it helps....)<BR>\n" );
document.write( "That means 3/5 of the total should be invested at the higher rate.<br><BR>\n" );
document.write( "ANSWER: 3/5 of $50,000, or $30,000, at 10%; the other $20,000 at 5%<br><BR>\n" );
document.write( "CHECK: .10(30000)+.05(20000) = 3000+1000 = 4000<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );