document.write( "Question 907556: A writer received $39,000 as royalty for her book. She invested part of the money in bonds paying 5% interest annually. The rest she invested in a life insurance policy paying 10% interest annually. If the total interest from the investments after 1 year is $3350, how much did she invest in bonds? \n" ); document.write( "

Algebra.Com's Answer #550435 by richwmiller(17219) $\"\"$ $\"About$

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Total amount of money invested: $39000
\n" ); document.write( "x+y=39000,
\n" ); document.write( "Total yearly interest for the two accounts is: $3350
\n" ); document.write( "0.05*x+0.1*y=3350
\n" ); document.write( "x=39000-y
\n" ); document.write( "Substitute for x
\n" ); document.write( "0.05*(39000-y)+0.1*y=3350
\n" ); document.write( "Multiply out
\n" ); document.write( "1950-0.05y+0.1*y=3350
\n" ); document.write( "Combine like terms.
\n" ); document.write( "0.05*y=1400
\n" ); document.write( "Isolate y
\n" ); document.write( "y=$28000.00 at 10%
\n" ); document.write( "x=39000-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=$11000.00 at 5%
\n" ); document.write( "Check
\n" ); document.write( "0.05*11000+0.1*28000=3350
\n" ); document.write( "550+2800=3350
\n" ); document.write( "3350=3350
\n" ); document.write( "If this statement is TRUE and neither x nor y is negative then all is well
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