document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214049>Question 214049</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Joeseph Smith is the manager of a trust. He invested 30% of a clients cash in gov't bonds that earn 6.5% annual simple interest, 30% in utility stocks that earn 7% annual simple interest, and the remainder in an account that earns 8% annual simple interest. The total annual interest earned from the investments was $5437.50. Find the total amount invested. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162228 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=162228\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .3x*.065+.3x*.07+.4x*.08=5,437.50<BR>\n" );
document.write( ".0195x+.021x+.032x=5,437.50<BR>\n" );
document.write( ".0725x=5,437.50<BR>\n" );
document.write( "x=5,437.50/.0725<BR>\n" );
document.write( "x=75,000 is the amount invested.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( ".3*75,000*.065+.3*75,000*.07+.4*75,000*.08=5,437.50<BR>\n" );
document.write( "1,462.5+1,575+2,400=5,437.5<BR>\n" );
document.write( "5,437.5=5,437.5<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );