SOLUTION: you invested $10000 total, split between two investments. one of the funds rose 6% in one year, and the other rose 9% in one year. your investment rose a total of $684 in one year.

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: you invested $10000 total, split between two investments. one of the funds rose 6% in one year, and the other rose 9% in one year. your investment rose a total of $684 in one year.      Log On

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Question 1150492: you invested $10000 total, split between two investments. one of the funds rose 6% in one year, and the other rose 9% in one year. your investment rose a total of $684 in one year. find the amount you invested in each fund
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +P+ = amount invested @ 6%
+10000+-+P+ = amount invested @ 9%
Let +I+ = gain from 6% investment
+684+-+I+ = gain from 9% investment
------------------------------------------------
+I+=+P%2Ar%2At+
(1) +I+=+P%2A.06%2A1+
(2) +684+-+I+=+%28+10000+-+P+%29%2A.09%2A1+
----------------------------------------------
(2) +684+-+I+=+900+-+.09P+
(2) +.09P+-+I+=+216+
Plug (1) into (2)
(2) +.09P+-+.06P+=+216+
(2) +.03P+=+216+
(2) +P+=+7200+
and
+10000+-+P+=+2800+
------------------------------
$7,200 invested @ 6%
$2,800 invested @ 9%
----------------------------
check:
(1) +I+=+P%2A.06%2A1+
(1) +I+=+7200%2A.06+
(1) +I+=+432+
and
(2) +684+-+I+=+%28+10000+-+P+%29%2A.09%2A1+
(2) +684+-+I+=+2800%2A.09+
(2) +I+=+684+-+252+
(2) +I+=+432+
Ok