document.write( "Question 904304: vincent and ricarda have invested $27,000 in bonds paying 5%. how much additional money should they invest in a certificate of deposit paying 2% simple interest so that the total annual return on the two investments will be 4%. \n" ); document.write( "
Algebra.Com's Answer #548616 by richwmiller(17219)\"\" \"About 
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.04(27000)=1080
\n" ); document.write( "We know the total amount of money invested. $27000
\n" ); document.write( "x+y=27000,
\n" ); document.write( "We know that the total interest for the year for the two accounts is $1080
\n" ); document.write( "0.05*x+0.02*y=1080
\n" ); document.write( "x=27000-y
\n" ); document.write( "We substitute for x
\n" ); document.write( "0.05*(27000-y)+0.02*y=1080
\n" ); document.write( "We multiply out
\n" ); document.write( "1350-0.05y+0.02*y=1080
\n" ); document.write( "We combine like terms.
\n" ); document.write( "-0.03*y=-270
\n" ); document.write( "Isolate y
\n" ); document.write( "y=9000 at 2%
\n" ); document.write( "x=27000-y
\n" ); document.write( "Calculate x
\n" ); document.write( "x=18000 at 5%
\n" ); document.write( "We check
\n" ); document.write( "0.05*18000+0.02*9000=1080
\n" ); document.write( "900+180=1080
\n" ); document.write( "1080=1080
\n" ); document.write( "Since this statement is TRUE and neither amount is negative then it is ok\r
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