SOLUTION: 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 thes

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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.
If you could solve this problem it would be greatly appreciated!

Found 2 solutions by richwmiller, josmiceli:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
a+b=21000,
.12a+.0525b=2250
a=17000., b=4000.

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