document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1130897>Question 1130897</A>: <I><SPAN STYLE=\"word-break: break-all;\"> David received an inheritance of $50,000. His financial advisor suggests that he invest this<BR>\n" );
document.write( "in three mutual funds: a money-market fund, a blue-chip stock fund, and a high-tech stock<BR>\n" );
document.write( "fund. The advisor estimates that the money-market fund will return 5% over the next year,<BR>\n" );
document.write( "the blue-chip fund 9%, and the high-tech fund 16% (all simple interest). David wants a total<BR>\n" );
document.write( "first-year return of $4000 in interest income. To avoid excessive risk, he decides to invest three<BR>\n" );
document.write( "times as much in the money-market fund as in the high-tech stock fund. How much should<BR>\n" );
document.write( "be invested in each fund?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #747514 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52776)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=747514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "If x is invested i n the high-tech, then 3x is invested in the money market.\r\n" );
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document.write( "The rest,  50000-x-3x = 50-4x dollars is invested in the blue-chip.\r\n" );
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document.write( "The total interest equation is\r\n" );
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document.write( "    0.05*(3x) + 0.09*(50000-4x) + 0.16*x = 4000.\r\n" );
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document.write( "Simplify and solve for x.\r\n" );
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document.write( "Then estimate other investments.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Very simple.\r<BR>\n" );
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document.write( "It is a standard and typical problem on investments.\r<BR>\n" );
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document.write( "If you need more details,  &nbsp;or if you want to see other similar problems solved by different methods, &nbsp;look into the lesson \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/coordinate/lessons/Using-systems-of-equations-to-solve-problems-on-investment.lesson>Using systems of equations to solve problems on investment</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "You will find there different approaches &nbsp;(using one equation or a system of two equations in two unknowns), &nbsp;as well as <BR>\n" );
document.write( "different methods of solution to the equations &nbsp;(Substitution, &nbsp;Elimination).\r<BR>\n" );
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document.write( "Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
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document.write( "The referred lesson is the part of this online textbook under the topic &nbsp;\"<U>Systems of two linear equations in two unknowns</U>\".\r<BR>\n" );
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document.write( "Save the link to this online textbook together with its description\r<BR>\n" );
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document.write( "Free of charge online textbook in ALGEBRA-I<BR>\n" );
document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r<BR>\n" );
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document.write( "to your archive and use it when it is needed.\r<BR>\n" );
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