document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=57583>Question 57583</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534490247/algebrahomeworkh>Elementary and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> To Whomever can assist... Thanks!\r<BR>\n" );
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document.write( "Nina received an inheritance of $12,000 from her grandmother.  She invested part of it at 6% interest and the remainder at 8%.  If the total yearly interest from both investments was $860, how much did she invest at each rate? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #39302 by </B><A HREF=/tutors/aboutme.mpl?userid=rcmcc><B>rcmcc(152)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rcmcc><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=rcmcc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=39302\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> we can solve this question by setting up a linear equation,\r<BR>\n" );
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document.write( "let x be investment 1<BR>\n" );
document.write( "let y be investment 2\r<BR>\n" );
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document.write( "because both investments x and y add up to 12000 we can state\r<BR>\n" );
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document.write( "x+y=12000\r<BR>\n" );
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document.write( "because the interest on x is 6% and y is 8% and the total interest earned is 860 we can state\r<BR>\n" );
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document.write( "0.06X+0.08Y=860...we have to convert the percent to a decimal\r<BR>\n" );
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document.write( "so these are your 2 equations.<BR>\n" );
document.write( "x+y=12000<BR>\n" );
document.write( "0.06X+0.08Y=860<BR>\n" );
document.write( "to solve for y we must multiply the top equation by .06 \r<BR>\n" );
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document.write( ".06X+.06Y=720\r<BR>\n" );
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document.write( "subtract the bottom equation from the top equation to leave y in a single equation.<BR>\n" );
document.write( ".06X+.06Y=720<BR>\n" );
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document.write( "0.06X+0.08Y=860<BR>\n" );
document.write( "so<BR>\n" );
document.write( "-.02Y=-140<BR>\n" );
document.write( "multiply by -1 to make them positive numbers<BR>\n" );
document.write( ".02Y=140<BR>\n" );
document.write( "now divide by .02 to each sides to isolate y\r<BR>\n" );
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document.write( "y=7000\r<BR>\n" );
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document.write( "solve for x by placing y into the first equation\r<BR>\n" );
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document.write( "x+7000=12000<BR>\n" );
document.write( "subtract 7000<BR>\n" );
document.write( "x=5000.\r<BR>\n" );
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document.write( "so nina invested $5000 at 6% interest and 7000 at 8% interest </SPAN>\n" );
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