document.write( "Question 860275: 21. A securities broker advised a client to invest a total of $21,000 in bond paying 12% interest and in certificates of deposit paying 5 1/4% interest. The annual income form these investments was $2250. Find out how much he invested at each rate. \r
\n" ); document.write( "\n" ); document.write( "If you could solve this problem it would be greatly appreciated!
\n" ); document.write( "

Algebra.Com's Answer #518279 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+a+\" = amount invested @ 12%
\n" ); document.write( "Let \"+b+\" = amount invested @ 5.25%
\n" ); document.write( "----------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+21000+\"
\n" ); document.write( "(2) \"+.12a+%2B+.0525b+=+2250+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "(2) \"+1200a+%2B+525b+=+22500000+\"
\n" ); document.write( "(2) \"+16a+%2B+7b+=+300000+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "Multiply both sides of (1) by \"+7+\"
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) \"+16a+%2B+7b+=+300000+\"
\n" ); document.write( "(1) \"+-7a+-+7b+=+-147000+\"
\n" ); document.write( "\"+9a+=+153000+\"
\n" ); document.write( "\"+a+=+17000+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+17000+%2B+b+=+21000+\"
\n" ); document.write( "(1) \"+b+=+4000+\"
\n" ); document.write( "-------------------
\n" ); document.write( "$17,000 is invested @ 12% and
\n" ); document.write( "$4,000 is invested @ 5.25%
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+.12a+%2B+.0525b+=+2250+\"
\n" ); document.write( "(2) \"+.12%2A17000+%2B+.0525%2A4000+=+2250+\"
\n" ); document.write( "(2) \"+2040+%2B+210+=+2250+\"
\n" ); document.write( "(2) \"+2250+=+2250+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );