document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=799803>Question 799803</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Juan invests $250,000 in two accounts. Juan would like to earn $7700 a year to pay some expenses. Juan invests part of the money in an account paying 3% simple interest and the rest in an account paying 4% simple interest. <BR>\n" );
document.write( "(a) What variables are appropriate?<BR>\n" );
document.write( "(b) Write a system of equations that will help Juan find the amount that should be invested in each account.\r<BR>\n" );
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document.write( "()Total amount invested      \r<BR>\n" );
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document.write( "       <BR>\n" );
document.write( "()Total interest earned      \r<BR>\n" );
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document.write( "       \r<BR>\n" );
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document.write( " (c) How much does Juan need to invest in each account to earn $7700 per year? (Include units with your numerical answers.)\r<BR>\n" );
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document.write( "Juan needs to invest   in the account paying 3% interest and   in the account paying 4% interest.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #482817 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=482817\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Juan invests $250,000 in two accounts. Juan would like to earn $7700 a year to pay some expenses. Juan invests part of the money in an account paying 3% simple interest and the rest in an account paying 4% simple interest.<BR>\n" );
document.write( " <BR>\n" );
document.write( "(a) What variables are appropriate?<BR>\n" );
document.write( "(b) Write a system of equations that will help Juan find the amount that should be invested in each account.<BR>\n" );
document.write( "Amount Equation:: x + y = 250,000<BR>\n" );
document.write( "Interest Equation: 0.03x + 0.04y = 7700 <BR>\n" );
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document.write( "(c) How much does Juan need to invest in each account to earn $7700 per year? (Include units with your numerical answers.) <BR>\n" );
document.write( "Modify for elimination::<BR>\n" );
document.write( "3x +3y = 3*250,000<BR>\n" );
document.write( "3x +4y = 770000<BR>\n" );
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document.write( "Subtract and solve for \"y\":<BR>\n" );
document.write( "y = 20,000 (amt. invested at 4%)<BR>\n" );
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document.write( "x = 230,000 (amt. invested at 3%)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( "Juan needs to invest in the account paying 3% interest and in the account paying 4% interest.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
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