document.write( "Question 911450: Nina invested 10,000 dollars. She put one part in certificates of deposit that paid 3% annual interest and the rest into a money market account that paid 5% annual interest. The interest for one year totaled 380 dollars. How much money did she invest in a money market account. \n" ); document.write( "

Algebra.Com's Answer #553135 by richwmiller(17219) $\"\"$ $\"About$

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Total amount of money invested: $10000
\n" ); document.write( "x+y=10000,
\n" ); document.write( "Total yearly interest for the two accounts is: $380
\n" ); document.write( "0.03*x+0.05*y=380
\n" ); document.write( "x=10000-y
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.03*(10000-y)+0.05*y=380
\n" ); document.write( "Multiply out
\n" ); document.write( "300-0.03*y+0.05*y=380
\n" ); document.write( "Combine like terms.
\n" ); document.write( "0.02*y=80
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$ 4000.00 at 5% earns $200 interest money market
\n" ); document.write( "x=10000-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$ 6000.00 at 3% earns $180 interest
\n" ); document.write( "Check
\n" ); document.write( "0.03*6000+0.05*4000=380
\n" ); document.write( "180+200=380
\n" ); document.write( "380=380
\n" ); document.write( "If this statement is TRUE and neither x nor y is negative then all is well
\n" ); document.write( "codeint1
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