document.write( "Question 244918: a businessman invested different amounts at 8%,8.75% and 9%, all simple annual interest. altogether he has invested php400,000 and earns php34,550 per year.how much has he invested at each rate if he has invested php40,000 more at 9% than 8%? \n" ); document.write( "
Algebra.Com's Answer #179075 by stanbon(75887)\"\" \"About 
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a businessman invested different amounts at 8%,8.75% and 9%, all simple annual interest. altogether he has invested php400,000 and earns php34,550 per year.how much has he invested at each rate if he has invested php40,000 more at 9% than 8%?
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\n" ); document.write( "Equations:
\n" ); document.write( "Quantity Eq.::::x + y + z = 400,000
\n" ); document.write( "Interest Eq.::0.08x + 0.0875y + 0.09z = 34550
\n" ); document.write( "Relative Eq: z = y + 40,000
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\n" ); document.write( "Modify and Rearrange:
\n" ); document.write( "x + y + z = 400,000
\n" ); document.write( "800x + 875y + 900z = 345500000
\n" ); document.write( "0x + y - z = -40,000
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\n" ); document.write( "I used the TI matrix function and got:
\n" ); document.write( "x = 114285.71 (amt. invested at 8%
\n" ); document.write( "y = 122857,14 (amt. invested at 8.75%
\n" ); document.write( "z = 162857.14 (amt. invested at 9%
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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