document.write( "Question 673131: The manager of a trust account invests 25% of a client's account in a money market fund which earns 8% annual simple interest, 40% in bonds which earn 10.5% annual simple interest, and the remainder in trust deeds which earn 13% annual simple interest. How much should be invested in each type of investment so that the total interest earned is $4300? \n" ); document.write( "

Algebra.Com's Answer #418497 by mananth(16946) $\"\"$ $\"About$

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let the total investment be x
\n" ); document.write( "25x% @ 8%
\n" ); document.write( "40% @ 10.5% bonds
\n" ); document.write( "(x-(0.25x+0.4x) @ 13%\r
\n" ); document.write( "\n" ); document.write( "0.25x**8%+0.4x*10.5%+ (1-0.25x+0.4x)*0.13% = 4300\r
\n" ); document.write( "\n" ); document.write( "multiply by 100
\n" ); document.write( "8*0.25x+10.5*0.4x+0.35x*13=4300*100\r
\n" ); document.write( "\n" ); document.write( "2x+4.2x+4.55x=430000
\n" ); document.write( "10.75x=430000
\n" ); document.write( "x=430000/10.75\r
\n" ); document.write( "\n" ); document.write( "= 40,000\r
\n" ); document.write( "\n" ); document.write( "Total invested = $40,000\r
\n" ); document.write( "\n" ); document.write( "25% of 40,000@ 8% --> $10,000
\n" ); document.write( "40% of 40,000 @ 10.5% bonds ----->$ $16000
\n" ); document.write( "35% of 40,000 @ 13%---->$14000\r
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