document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176564>Question 176564</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An actor invests some money at 9%, and $32000 more than twice the amount at 12%. The total annual interest earned from the investment is $23640. How much did he invest at each amount? Use the six- step method.\r<BR>\n" );
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document.write( "Please do this step by step so I can see how you got each number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131639 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=131639\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ok what we are after is amounts invested at 9% and at 12%. Lets call those x and y respectively<BR>\n" );
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document.write( " We are given that y=2x+32000. So lets write our equation, Lets write it verbally first. (The amount invested) at (x times its interest rate) + (the amount invested) at (y times its interest rate) will give us(equals) the total annual interest earned.<BR>\n" );
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document.write( "so we have<BR>\n" );
document.write( "x amount investe at 9%<BR>\n" );
document.write( "y=2x+32000...eq 1<BR>\n" );
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document.write( ".09x+.12y=23640...eq 2<BR>\n" );
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document.write( "take y's value from eq 1 and plug it into eq 2<BR>\n" );
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document.write( ".09x+.12(2x+32000)=23640<BR>\n" );
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document.write( ".09x+.24x+3840=23640<BR>\n" );
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document.write( ".33x=19800<BR>\n" );
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document.write( "$<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=60000%29 ALIGN=MIDDLE  ALT=\"highlight%28x=60000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >amount invested at 9%<BR>\n" );
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document.write( "$<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=2%2860000%29%2B32000=152000%29 ALIGN=MIDDLE  ALT=\"highlight%28y=2%2860000%29%2B32000=152000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >amount invested at 12% </SPAN>\n" );
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