document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=694590>Question 694590</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jack has $10,000 to invest in three accounts. He invests part of the money at 7% annual interest and twice that amount in an account paying 5.5% annual interest. The remaining money is invested at 4% annual interest. How much was invested in Each account if the total annual income from the three investments was $490?\r<BR>\n" );
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document.write( "I tried the question and got it wrong. I did:\r<BR>\n" );
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document.write( ".07x+5.5(2x)=490<BR>\n" );
document.write( ".07x+11x=490<BR>\n" );
document.write( "11.07x=490<BR>\n" );
document.write( "x=44.26\r<BR>\n" );
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document.write( "4y=10000<BR>\n" );
document.write( "y=2500\r<BR>\n" );
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document.write( "$44.26=7%<BR>\n" );
document.write( "$88.52=5.5%<BR>\n" );
document.write( "$2500=4% </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #428112 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=428112\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Jack has $10,000 to invest in three accounts. He invests part of the money at 7% annual interest and twice that amount in an account paying 5.5% annual interest. The remaining money is invested at 4% annual interest. How much was invested in Each account if the total annual income from the three investments was $490?\r<BR>\n" );
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document.write( "I tried the question and got it wrong. I did:\r<BR>\n" );
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document.write( ".07x+5.5(2x)=490<BR>\n" );
document.write( ".07x+11x=490<BR>\n" );
document.write( "11.07x=490<BR>\n" );
document.write( "x=44.26\r<BR>\n" );
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document.write( "4y=10000<BR>\n" );
document.write( "y=2500\r<BR>\n" );
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document.write( "$44.26=7%<BR>\n" );
document.write( "$88.52=5.5%<BR>\n" );
document.write( "$2500=4%\r<BR>\n" );
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document.write( "Sorry to say but you're way off!!\r<BR>\n" );
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document.write( "Let amount invested in the 7% and 4% interest-accounts be S, and F, respectively<BR>\n" );
document.write( "Amount he invested in account paying 5.5% = 2S<BR>\n" );
document.write( "Therefore, S + F + 2S = 10,000 ---- 3S + F = 10,000 ----- eq (i)<BR>\n" );
document.write( "Also, .07S + .055(2S) + .04(F) = 490 --- .07S + .11S + .04F = 490 --- .18S + .04F = 490 --- eq (ii) <BR>\n" );
document.write( "- .12S - .04F = - 400 ------ Multiplying eq (i) by - .04<BR>\n" );
document.write( ".06S = 90 ---- Adding eqs (ii) & (i)<BR>\n" );
document.write( "S, or amount invested in the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%287%29 ALIGN=MIDDLE  ALT=\"highlight%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >% interest-account = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%2F.06 ALIGN=MIDDLE  ALT=\"90%2F.06\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%281500%29 ALIGN=MIDDLE  ALT=\"highlight_green%281500%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Amount invested in the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%285.5%29 ALIGN=MIDDLE  ALT=\"highlight%285.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >% interest-account = 2(1,500), or $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%283000%29 ALIGN=MIDDLE  ALT=\"highlight_green%283000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3(1,500) + F = 10,000 ------ Substituting 1,500 for S in eq (i)<BR>\n" );
document.write( "4,500 + F = 10,000<BR>\n" );
document.write( "F, or amount invested in the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%284%29 ALIGN=MIDDLE  ALT=\"highlight%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >% interest-account = 10,000 – 4,500, or $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%285500%29 ALIGN=MIDDLE  ALT=\"highlight_green%285500%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can do the check!!\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com </SPAN>\n" );
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