document.write( "Question 918019: Kimberly Fields has $25,000 invested in two accounts, part at 8.5% simple interest and part at 4% simple interest for a period of 1 year. How much did she invest at each rate if each account earned the same interest? \n" ); document.write( "
Algebra.Com's Answer #556882 by richwmiller(17219)\"\" \"About 
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We know the total amount of money invested. $25000
\n" ); document.write( "x+y=25000,
\n" ); document.write( "We know that the difference in interest earned by the two accounts is $0
\n" ); document.write( "0.085*x-0.04*y=0
\n" ); document.write( "x=25000-y
\n" ); document.write( "We substitute for x
\n" ); document.write( "0.085*(25000-y)-0.04*y=0
\n" ); document.write( "We multiply out
\n" ); document.write( "2125.0-0.085y-0.04*y=0
\n" ); document.write( "We combine like terms.
\n" ); document.write( "2125.0=0.125*y
\n" ); document.write( "Isolate y
\n" ); document.write( "y=2125.0/0.125
\n" ); document.write( "y=17000 at 4%
\n" ); document.write( "Calculate x
\n" ); document.write( "x=25000-17000
\n" ); document.write( "x=8000 at 8.5%
\n" ); document.write( "Interest earned at 8.5% is 680.0
\n" ); document.write( "Interest earned at 4% is 680
\n" ); document.write( "We check
\n" ); document.write( "0.085*8000-0.04*17000=0
\n" ); document.write( "680.0-680=0
\n" ); document.write( "0.0=0
\n" ); document.write( "Since this statement is TRUE and neither x nor y is negative then all is well
\n" ); document.write( "codeintdy
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