document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=902691>Question 902691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose you invest $3,600 in stocks and bonds paying 7% and 3%, respectively. The interest from both investments after one year is $156. For the following problems, use x for the amount invested in stocks and y for the amount invested in bonds.<BR>\n" );
document.write( "a) Write a mathematical expression for the total amount of money invested. <BR>\n" );
document.write( "Answer:  \r<BR>\n" );
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document.write( "b) Write a mathematical expression for the total interest earned. <BR>\n" );
document.write( "Answer:  \r<BR>\n" );
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document.write( "c) How much money was invested in bonds? <BR>\n" );
document.write( "Answer:   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #547456 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=547456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We know the total amount of money invested. $3600<BR>\n" );
document.write( "A) x+y=3600,<BR>\n" );
document.write( "We know that the total interest for the year for the two accounts is $156<BR>\n" );
document.write( "B)0.07*x+0.03*y=156<BR>\n" );
document.write( "x=3600-y<BR>\n" );
document.write( "We substitute for x<BR>\n" );
document.write( "0.07*(3600-y)+0.03*y=156<BR>\n" );
document.write( "We multiply out<BR>\n" );
document.write( "252-0.07y+0.03*y=156<BR>\n" );
document.write( "We combine like terms.<BR>\n" );
document.write( "-0.04*y=-96<BR>\n" );
document.write( "Isolate y<BR>\n" );
document.write( "C) y=2400 at 3% bonds<BR>\n" );
document.write( "x=3600-y<BR>\n" );
document.write( "Calculate x<BR>\n" );
document.write( "x=1200 at 7% stocks<BR>\n" );
document.write( "We check<BR>\n" );
document.write( "0.07*1200+0.03*2400=156<BR>\n" );
document.write( "84+72=156<BR>\n" );
document.write( "156=156<BR>\n" );
document.write( "Since this statement is TRUE and neither amount is negative then it is ok<BR>\n" );
document.write( " </SPAN>\n" );
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