document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=510929>Question 510929</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a total of $25000 is invested in two funds paying 6% and 8.5% simple interest. the 6% investment has a lower risk. the investor wants a yearly interest income of $2000 from the two investments. <BR>\n" );
document.write( "    a)write a system of equations in which one equation represents the total amount invested and the other equation represents the $2000 required in interest. let x and y represent the amounts invested at 6% and 8.5% respectively. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #341931 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=341931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a total of $25000 is invested in two funds paying 6% and 8.5% simple interest. the 6% investment has a lower risk. the investor wants a yearly interest income of $2000 from the two investments. <BR>\n" );
document.write( "a)write a system of equations in which one equation represents the total amount invested and the other equation represents the $2000 required in interest. let x and y represent the amounts invested at 6% and 8.5% respectively.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "Quantity: x + y = 25000<BR>\n" );
document.write( "Interest:0.06x + 0.085 = 2000<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "Multiply quantity by 60<BR>\n" );
document.write( "Multiply interest by 1000<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "60x  +  60y   = 60*25000<BR>\n" );
document.write( "60x  +  85y   = 2000000<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Subtract and solve for \"y\":<BR>\n" );
document.write( "25y = 500000<BR>\n" );
document.write( "y = $20,000 (amt. invested at 8.5%)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = $5000 (amt. invested at 6%)<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" );