document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1064947>Question 1064947</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A person plans to invest a total of &#8203;$190,000 in a money market&#8203; account, a bond&#8203; fund, an international stock&#8203; fund, and a domestic stock fund. She wants 60&#8203;% of her investment to be conservative&#8203; (money market and&#8203; bonds). She wants the amount in domestic stocks to be 44 times the amount in international stocks.&#8203; Finally, she needs an annual return of &#8203;$7,600. Assuming she gets annual returns of&#8203; 2.5% on the money market&#8203; account, 3.5% on the bond&#8203; fund, 4% on the international stock&#8203; fund, and&#8203; 6% on the domestic stock&#8203; fund, how much should she put in each&#8203; investment? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #680177 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=680177\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Total to invest: 190,000<BR>\n" );
document.write( "60% in Money Market and Bond Funds:<BR>\n" );
document.write( "190,000*0.6 = 114,000 in MM and BF<BR>\n" );
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document.write( "Interest:<BR>\n" );
document.write( "MM 0.025<BR>\n" );
document.write( "BF 0.035<BR>\n" );
document.write( "IS 0.04<BR>\n" );
document.write( "DS 0.06<BR>\n" );
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document.write( "MM+BF = 114,000 <BR>\n" );
document.write( "IS+DS = 190,000-114,000 = 76,000<BR>\n" );
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document.write( "DS = 44*IS<BR>\n" );
document.write( "DS+IS = 76,000<BR>\n" );
document.write( "44*IS+IS = 76,000; 45IS = 76,000; IS = 76,000/45 = 1,688.89<BR>\n" );
document.write( "IS = 1,688.89<BR>\n" );
document.write( "DS = 44*1,688.89 = 74,311.16<BR>\n" );
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document.write( "IS = 1,688.89*0.04 = $67.55 &#61664; interest on International Stocks<BR>\n" );
document.write( "DS = 74,311.16*0.06 = $4,458.67 &#61664; interest on Domestic Stocks<BR>\n" );
document.write( "Total: 67.55+4,458.67 = 4,526.22<BR>\n" );
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document.write( "MM+BF = 114,000<BR>\n" );
document.write( "0.025MM+0.035BF = 7,600-4,526.22 = 3,073.78<BR>\n" );
document.write( "0.025x+0.035(114,000-x) = 3,073.78 = 91,622 &#61664; Invested at 2.5%<BR>\n" );
document.write( "114,000-91,622 = 22,378 &#61664; Invested at 3.5%  <BR>\n" );
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document.write( "91,622*0.025 = 2,290.55 Interest from Money Market<BR>\n" );
document.write( "22,378*0.035 = 783.23 Interest from Bond Funds<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( " 67.55+4458.67+2290.55+783.23 = 7,600 Correct.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "John<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );