document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1138669>Question 1138669</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A $132,000 trust is to be invested in bonds paying 8%, CDs paying 6%, and mortgages paying 10%. The bond and CD investment together must equal the mortgage investment. To earn a $11,200 annual income from the investments, how much should the bank invest in bonds?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #756479 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=756479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+ ALIGN=MIDDLE  ALT=\"+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = amount invested in CDs<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+ ALIGN=MIDDLE  ALT=\"+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = amount invested in bonds<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+ ALIGN=MIDDLE  ALT=\"+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = amount invested in mortgages<BR>\n" );
document.write( "--------------------------------------------------<BR>\n" );
document.write( "Use simple interest formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+I+=+P%2Ar%2At+ ALIGN=MIDDLE  ALT=\"+I+=+P%2Ar%2At+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+%2B+c+=+132000+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+%2B+c+=+132000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+I%5B1%5D+%2B+I%5B2%5D+%2B+I%5B3%5D+=+11200+ ALIGN=MIDDLE  ALT=\"+I%5B1%5D+%2B+I%5B2%5D+%2B+I%5B3%5D+=+11200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For CDs:<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+I%5B1%5D+=+a%2A.06%2A1+ ALIGN=MIDDLE  ALT=\"+I%5B1%5D+=+a%2A.06%2A1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For bonds:<BR>\n" );
document.write( "(4) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+I%5B2%5D+=+b%2A.08%2A1+ ALIGN=MIDDLE  ALT=\"+I%5B2%5D+=+b%2A.08%2A1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For mortgages:<BR>\n" );
document.write( "(5) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+I%5B3%5D+=+c%2A.1%2A1+ ALIGN=MIDDLE  ALT=\"+I%5B3%5D+=+c%2A.1%2A1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(6) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+c+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "I can substitute (3), (4), and (5) into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.06a+%2B+.08b+%2B+.1c+=+11200+ ALIGN=MIDDLE  ALT=\"+.06a+%2B+.08b+%2B+.1c+=+11200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6a+%2B+8b+%2B+10c+=+1120000+ ALIGN=MIDDLE  ALT=\"+6a+%2B+8b+%2B+10c+=+1120000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3a+%2B+4b+%2B+5c+=+560000+ ALIGN=MIDDLE  ALT=\"+3a+%2B+4b+%2B+5c+=+560000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "Subtracting (6) from (1)<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2c+=+132000+ ALIGN=MIDDLE  ALT=\"+2c+=+132000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+66000+ ALIGN=MIDDLE  ALT=\"+c+=+66000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3a+%2B+4b+%2B+5%2A66000+=+560000+ ALIGN=MIDDLE  ALT=\"+3a+%2B+4b+%2B+5%2A66000+=+560000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3a+%2B+4b+=++560000+-+330000+ ALIGN=MIDDLE  ALT=\"+3a+%2B+4b+=++560000+-+330000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3a+%2B+4b+=+230000+ ALIGN=MIDDLE  ALT=\"+3a+%2B+4b+=+230000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <BR>\n" );
document.write( "subtract (1) from (2)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+4a+%2B+4b+=+264000+ ALIGN=MIDDLE  ALT=\"+4a+%2B+4b+=+264000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3a+-+4b+=+-230000+ ALIGN=MIDDLE  ALT=\"+-3a+-+4b+=+-230000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+34000+ ALIGN=MIDDLE  ALT=\"+a+=+34000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(6) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+c+ ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(6) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+34000+%2B+b+=+66000+ ALIGN=MIDDLE  ALT=\"+34000+%2B+b+=+66000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(6) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+32000+ ALIGN=MIDDLE  ALT=\"+b+=+32000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "$34,000 = amount invested in CDs<BR>\n" );
document.write( "$32,000 = amount invested in bonds<BR>\n" );
document.write( "$66,000 = amount invested in mortgages<BR>\n" );
document.write( "---------------------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.06a+%2B+.08b+%2B+.1c+=+11200+ ALIGN=MIDDLE  ALT=\"+.06a+%2B+.08b+%2B+.1c+=+11200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.06%2A34000+%2B+.08%2A32000+%2B+.1%2A66000+=+11200+ ALIGN=MIDDLE  ALT=\"+.06%2A34000+%2B+.08%2A32000+%2B+.1%2A66000+=+11200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2040+%2B+2560+%2B+6600+=+11200+ ALIGN=MIDDLE  ALT=\"+2040+%2B+2560+%2B+6600+=+11200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+11200+=+11200+ ALIGN=MIDDLE  ALT=\"+11200+=+11200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );