document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=32274>Question 32274</A>: <I><SPAN STYLE=\"word-break: break-all;\"> John Page invested 11000 in an account that pays 12 percent simple interest. How much additional money must be invested in an account that pays 15 percernt simple interest so that the average return on two investments amounts to 13 percent? </SPAN>\n" );
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document.write( "Let's call X to the additional amount he must invest. The total interest received from both investments will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11000%2A0.12+%2B+X%2A0.15 ALIGN=MIDDLE  ALT=\"11000%2A0.12+%2B+X%2A0.15\"   DISABLED_style= \"max-width:90%; height:auto;\" > (12% of the $11,000 and 15% of the $X). Also, he wants his average return to be 13%. This means that his total interest should be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811000%2BX%29%2A0.13 ALIGN=MIDDLE  ALT=\"%2811000%2BX%29%2A0.13\"   DISABLED_style= \"max-width:90%; height:auto;\" > (13% on the total invested amount). Since he wants both this expression to be equal, we get the equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2811000%2BX%29%2A0.13+=+11000%2A0.12+%2B+X%2A0.15 ALIGN=MIDDLE  ALT=\"%2811000%2BX%29%2A0.13+=+11000%2A0.12+%2B+X%2A0.15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And now we just isolate X:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11000%2A0.13+%2B+X%2A0.13+=+11000%2A0.12+%2B+X%2A0.15 ALIGN=MIDDLE  ALT=\"11000%2A0.13+%2B+X%2A0.13+=+11000%2A0.12+%2B+X%2A0.15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1430+%2B+X%2A0.13+=+1320+%2B+X%2A0.15 ALIGN=MIDDLE  ALT=\"1430+%2B+X%2A0.13+=+1320+%2B+X%2A0.15\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1430+-+1320+=+X%2A0.15+-+X%2A0.13+ ALIGN=MIDDLE  ALT=\"1430+-+1320+=+X%2A0.15+-+X%2A0.13+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+110+=+X%2A0.02 ALIGN=MIDDLE  ALT=\"+110+=+X%2A0.02\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X+=+110%2F0.02+=+5500 ALIGN=MIDDLE  ALT=\"X+=+110%2F0.02+=+5500\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We conclude that he should invest an additional $5,500 in the 15% account.\r<BR>\n" );
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document.write( "I hope this helps!<BR>\n" );
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