document.write( "Question 904838: Jim invested his savings in two investment funds. The
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document.write( "$6000
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document.write( " that he invested in Fund A returned a
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document.write( "6%
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document.write( " profit. The amount that he invested in Fund B returned a
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document.write( "2%
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document.write( " profit. How much did he invest in Fund B, if both funds together returned a
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document.write( "5%
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document.write( " profit?
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Algebra.Com's Answer #549091 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! .05*6000=300\r \n" ); document.write( "\n" ); document.write( "Total amount of money invested: $6000 \n" ); document.write( "x+y=6000, \n" ); document.write( "Total yearly interest for the two accounts is: $300 \n" ); document.write( "0.06*x+0.02*y=300 \n" ); document.write( "x=6000-y \n" ); document.write( "Substitute for x \n" ); document.write( "0.06*(6000-y)+0.02*y=300 \n" ); document.write( "Multiply out \n" ); document.write( "360-0.06y+0.02*y=300 \n" ); document.write( "Combine like terms. \n" ); document.write( "-0.04*y=-60 \n" ); document.write( "Isolate y \n" ); document.write( "y=$ 1500.00 at 2% \n" ); document.write( "x=6000-y \n" ); document.write( "Calculate x \n" ); document.write( "x=$ 4500.00 at 6% \n" ); document.write( "Check \n" ); document.write( "0.06*4500+0.02*1500=300 \n" ); document.write( "270+30=300 \n" ); document.write( "300=300 \n" ); document.write( "If this statement is TRUE and neither amount is negative then all is well\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |