document.write( "Question 904473: The annual interest earned on two investments is $479. One investment is in a 2.3% tax-free annual simple interest account, and the other investment is in a 5.3% annual simple interest CD. The total amount invested is $13,000. How much is invested in each account? \n" ); document.write( "

Algebra.Com's Answer #548720 by richwmiller(17219) $\"\"$ $\"About$

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Total amount of money invested. $13000
\n" ); document.write( "x+y=13000,
\n" ); document.write( "Total interest for the year for the two accounts is $479
\n" ); document.write( "0.023*x+0.053*y=479
\n" ); document.write( "x=13000-y
\n" ); document.write( "We substitute for x
\n" ); document.write( "0.023*(13000-y)+0.053*y=479
\n" ); document.write( "We multiply out
\n" ); document.write( "299.0-0.023y+0.053*y=479
\n" ); document.write( "We combine like terms.
\n" ); document.write( "0.03*y=180.0
\n" ); document.write( "Isolate y
\n" ); document.write( "y=6000.00 at 5.3%
\n" ); document.write( "x=13000-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=7000.00 at 2.3%
\n" ); document.write( "We check
\n" ); document.write( "0.023*7000.0+0.053*6000.0=479
\n" ); document.write( "161.0+318.0=479
\n" ); document.write( "479.0=479
\n" ); document.write( "Since this statement is TRUE and neither amount is negative then it is ok
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