document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153985>Question 1153985</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An investment of ​$70 comma 000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned​ 8% interest, the second​ 6%, and the third​ 9%. Total interest from the investments was $ 5220. The interest from the first investment was 2 times the interest from the second. Find the amounts of the three parts of the investment.\r<BR>\n" );
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document.write( "The first part of the investment was ​$\r<BR>\n" );
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document.write( "2nd part $\r<BR>\n" );
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document.write( "Third part $ </SPAN>\n" );
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document.write( "An investment of ​$70 comma 000 was made by a business club. The investment was split into three parts and lasted for one year. The first part of the investment earned​ 8% interest, the second​ 6%, and the third​ 9%. Total interest from the investments was $ 5220. The interest from the first investment was 2 times the interest from the second. Find the amounts of the three parts of the investment.\r<BR>\n" );
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document.write( "The first part of the investment was ​$\r<BR>\n" );
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document.write( "2nd part $\r<BR>\n" );
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document.write( "Third part $<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">Let amount invested at 8% and 6% be E, and S, respectively<BR>\n" );
document.write( "Then amount invested at 9% = 70,000 - E - S<BR>\n" );
document.write( "We then have: .08E + .06S + .09(70,000 - E - S) = 5,220<BR>\n" );
document.write( ".08E + .06S + 6,300 - .09E - .09S = 5,220<BR>\n" );
document.write( "- .01E - .03S = - 1,080 ------ eq (i)\r<BR>\n" );
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document.write( "Also, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C14%2C+.08E%2C+%22=%22%2C+2%28.06S%29%2C+%22=====%3E%22%2C+E%2C+%22=%22%2C+2%28.06%29%2F.08%2C+%22====%3E%22%2C+E%2C+%22=%22%2C+1.5S%2C+%22------%22%2C+eq%2C+%22%28ii%29%22%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "- .01(1.5S) - .03S = - 1,080 ------- Substituting 1.5S for E in eq (i)<BR>\n" );
document.write( "- .015S - .03S = - 1,080<BR>\n" );
document.write( "- .045S = - 1,080<BR>\n" );
document.write( "S, or amount invested at 6% = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28matrix%281%2C3%2C+%28%22-+1%2C080%22%29%2F%28-+.045%29%2C+%22=%22%2C+%22%2424%2C000%22%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Now you can find the amounts invested at 6% and 9%. </SPAN>\n" );
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