document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=109232>Question 109232</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321369580/algebrahomeworkh>College Algebra In Context</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A trust account manager has $500,000 to be invested in three different accounts.  The accounts pay 8%, 10%, and 14%, respectively, and the goal is to earn $49,000 with the amount invested at 8% equal to the sum of the other two investments.  To accomplish this, assume that x dollars are invested at 8%, y dollars are invested at 10%, and z dollars are invested at 14%.\r<BR>\n" );
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document.write( "a. Write an equation that describes the sum of money in the three investments.<BR>\n" );
document.write( "b. Write an equation that describes the total amount of money earned by the three investments.<BR>\n" );
document.write( "c. Write an equation that describes the relationship among the three investments.<BR>\n" );
document.write( "d. solve the system of equations to find how much should be invested in each accournt to satisfy the conditions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #79653 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=79653\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A trust account manager has $500,000 to be invested in three different accounts. The accounts pay 8%, 10%, and 14%, respectively, and the goal is to earn $49,000 with the amount invested at 8% equal to the sum of the other two investments. To accomplish this, assume that x dollars are invested at 8%, y dollars are invested at 10%, and z dollars are invested at 14%. <BR>\n" );
document.write( "a. Write an equation that describes the sum of money in the three investments.<BR>\n" );
document.write( "x+y+z = 500,000<BR>\n" );
document.write( "b. Write an equation that describes the total amount of money earned by the three investments.<BR>\n" );
document.write( "0.08x+0.10y+0.14z = 49000<BR>\n" );
document.write( "c. Write an equation that describes the relationship among the three investments.<BR>\n" );
document.write( "x-y-z=0<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "d. solve the system of equations to find how much should be invested in each accournt to satisfy the conditions.<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "I used the TI-83 Matrix capability to find <BR>\n" );
document.write( "x = 250,000<BR>\n" );
document.write( "y = 150,000<BR>\n" );
document.write( "z = 100,000<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );