document.write( "Question 918985: In investing $5,750 of a couple's money, a financial planner put some of it into a savings account paying 3% annual simple interest. The rest was invested in a riskier mini-mall development plan paying 10% annual simple interest. The combined interest earned for the first year was $421. How much money was invested at each rate? \n" ); document.write( "

Algebra.Com's Answer #557370 by richwmiller(17219) $\"\"$ $\"About$

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Total amount of money invested: $5750
\n" ); document.write( "x+y=5750,
\n" ); document.write( "Total yearly interest for the two accounts is: $421
\n" ); document.write( "0.03*x+0.1*y=421
\n" ); document.write( "x=5750-y
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.03*(5750-y)+0.1*y=421
\n" ); document.write( "Multiply out
\n" ); document.write( "172.5-0.03*y+0.1*y=421
\n" ); document.write( "Combine like terms.
\n" ); document.write( "0.07*y=248.5
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$ 3550.00 at 10% earns $355 interest
\n" ); document.write( "x=5750-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$ 2200.00 at 3% earns $66 interest
\n" ); document.write( "Check
\n" ); document.write( "0.03*2200+0.1*3550=421
\n" ); document.write( "66+355=421
\n" ); document.write( "421=421
\n" ); document.write( "If 421=421 is TRUE and neither x nor y is negative then all is well
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