document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1115269>Question 1115269</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Meisha has $25,000 that she wants to invest. She invests it in accounts paying 12%, 7%, and<BR>\n" );
document.write( "6% simple interest. The account paying 12% is a higher-risk account, so she wants the<BR>\n" );
document.write( "amount in that account to be half of the amount she has in the account paying 6% simple<BR>\n" );
document.write( "interest. If her annual interest is $1945, how much is invested at each rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #730160 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=730160\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Meisha has $25,000 that she wants to invest. <BR>\n" );
document.write( "She invests it in accounts paying 12%, 7%, and 6% simple interest. <BR>\n" );
document.write( "The account paying 12% is a higher-risk account, so she wants the<BR>\n" );
document.write( "amount in that account to be half of the amount she has in the account paying 6% simpleinterest. <BR>\n" );
document.write( "If her annual interest is $1945, how much is invested at each rate? <BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "t + s + x = 25000<BR>\n" );
document.write( "t = (1/2)x<BR>\n" );
document.write( "12t + 7s + 6x = 194500<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Modify and rearrange to get:<BR>\n" );
document.write( "t + s + x = 25000<BR>\n" );
document.write( "t + 0 -0.5x = 0<BR>\n" );
document.write( "12t+7s+6s = 194500<BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Solve by any method you know to get:<BR>\n" );
document.write( "t = 6500<BR>\n" );
document.write( "s = 5500<BR>\n" );
document.write( "x = 13000<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" );