document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196477>Question 1196477</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A woman invest $10 000;part at 9% annual interests, and the rest at 14%. In each case the interest is compounded annually. The total annual income is $1275. How much is invested in each rate?  </SPAN>\n" );
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document.write( "(1) by standard algebra....<br><BR>\n" );
document.write( "x = amount invested at 9%<BR>\n" );
document.write( "10000-x = amount invested at 14%<br><BR>\n" );
document.write( "The total interest was $1275:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.09%28x%29%2B.14%2810000-x%29+=+1275 ALIGN=MIDDLE  ALT=\".09%28x%29%2B.14%2810000-x%29+=+1275\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.09x%2B1400-.14x+=+1275 ALIGN=MIDDLE  ALT=\".09x%2B1400-.14x+=+1275\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-.05x+=+-125 ALIGN=MIDDLE  ALT=\"-.05x+=+-125\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-125%2F-.05+=+2500 ALIGN=MIDDLE  ALT=\"x+=+-125%2F-.05+=+2500\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: x = $2500 at 9%; 10000-x = $7500 at 14%<br><BR>\n" );
document.write( "(2) using logical reasoning and mental arithmetic....<br><BR>\n" );
document.write( "All $10,000 invested at 9% would have yielded $900 interest; all at 14% would have yielded $1400 interest.<BR>\n" );
document.write( "Look at the three interest amounts $900, $1275, and $1400 (on a number line, if it helps) and observe/calculate that $1275 is 3/4 of the way from $900 to $1400   (1275-900 = 375; 1400-900 = 500; 375/500 = 3/4).<BR>\n" );
document.write( "That means 3/4 of the $10,000 was invested at the higher rate.<br><BR>\n" );
document.write( "ANSWER: $7500 at 14%, the other $2500 at 9%<br><BR>\n" );
document.write( " </SPAN>\n" );
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