document.write( "Question 905205: Tricia received
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document.write( "an inheritance of $5500. She invested part of it at 8%
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document.write( "simple interest and the remainder at 12% simple interest.
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document.write( "At the end of the year she had earned $540. How much
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document.write( "did Tricia invest at each interest amount? \n" );
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Algebra.Com's Answer #549086 by richwmiller(17219) You can put this solution on YOUR website! Total amount of money invested: $5500 \n" ); document.write( "x+y=5500, \n" ); document.write( "Total yearly interest for the two accounts is: $540 \n" ); document.write( "0.08*x+0.12*y=540 \n" ); document.write( "x=5500-y \n" ); document.write( "Substitute for x \n" ); document.write( "0.08*(5500-y)+0.12*y=540 \n" ); document.write( "Multiply out \n" ); document.write( "440-0.08y+0.12*y=540 \n" ); document.write( "Combine like terms. \n" ); document.write( "0.04*y=100 \n" ); document.write( "Isolate y \n" ); document.write( "y=$ 2500.00 at 12% \n" ); document.write( "x=5500-y \n" ); document.write( "Calculate x \n" ); document.write( "x=$ 3000.00 at 8% \n" ); document.write( "Check \n" ); document.write( "0.08*3000+0.12*2500=540 \n" ); document.write( "240+300=540 \n" ); document.write( "540=540 \n" ); document.write( "If this statement is TRUE and neither amount is negative then all is well \n" ); document.write( " \n" ); document.write( " |