document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1151971>Question 1151971</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One safe investment pays 7​% per​ year, and a more risky investment pays 14​% per year.\r<BR>\n" );
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document.write( "a. How much must be invested in each account if an investor of ​$100,000 would like a return of ​$9,100 per​ year?<BR>\n" );
document.write( "b. Why might the investor use two accounts rather than put all the money in the 14​% ​investment?\r<BR>\n" );
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document.write( "a. $__ is invested in the 7% account.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #773851 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=773851\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = amount invested at 7%.<BR>\n" );
document.write( "y = amount invested at 14%.<BR>\n" );
document.write( "x + y = 100,000<BR>\n" );
document.write( ".07x + .14y = 9100<BR>\n" );
document.write( "solve for x in the first equaion to get:<BR>\n" );
document.write( "x = 100,000 - y<BR>\n" );
document.write( "replace x in the second equation with that to get:<BR>\n" );
document.write( ".07 * (100,000 - y) + .14y = 9100<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( ".07 * 100,000 - .07y + .14y = 9100<BR>\n" );
document.write( "simplify further and combine like terms to get:<BR>\n" );
document.write( "7000 + .07y = 9100<BR>\n" );
document.write( "subtract 7000 from both sides to get:<BR>\n" );
document.write( ".07y = 2100<BR>\n" );
document.write( "solve for y to get:<BR>\n" );
document.write( "y = 2100 /.07 = 30,000<BR>\n" );
document.write( "x = 100,000 - y = 70,000<BR>\n" );
document.write( ".07 * 70,000 + .14 * 30,000 = 9100<BR>\n" );
document.write( "this confirms the values for x and y are correct.<BR>\n" );
document.write( "the solution is that 70,000 is invested in 7% account. </SPAN>\n" );
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