SOLUTION: Devonte invests $7200 in two different accounts. The first account paid 10 %, the second account paid 8 % in interest. At the end of the first year he had earned $618 in interest.

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Question 1101045: Devonte invests $7200 in two different accounts. The first account paid 10 %, the second account paid 8 % in interest. At the end of the first year he had earned $618 in interest. How much was in each account?
Found 2 solutions by jorel1380, josmiceli:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the amount deposited at 10%, and 7200-n be tha amount at 8%. Then:
0.1n+.08(7200-n)=618
.02n=42
n=2100
$2100 was in the first account;
$5100 was in the second account
☺☺☺☺

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+I%5B1%5D+=+P%5B1%5D%2Ar%5B1%5D%2At+
and
+I%5B2%5D+=+P%5B2%5D%2Ar%5B2%5D%2At+
-----------------------
+I%5B2%5D+=+618+-+I%5B1%5D+
+P%5B2%5D+=+7200+-+P%5B1%5D+
+r%5B1%5D+=+.1+
+r%5B2%5D+=+.08+
----------------------
+I%5B1%5D+=+P%5B1%5D%2A.1%2A1+
+618+-+I%5B1%5D+=+%28+7200+-+P%5B1%5D+%29%2A.08%2A1+
-------------------------------------
+I%5B1%5D+=+.1P%5B1%5D+
and
+618+-+I%5B1%5D+=+576+-+.08P%5B1%5D+
+I%5B1%5D+=+.08P%5B1%5D+%2B+42+
-------------------------
+.1P%5B1%5D+=+.08P%5B1%5D+%2B+42+
+.02P%5B1%5D+=+42+
+P%5B1%5D+=+2100+
and
+7200+-+P%5B1%5D+=+7200+-+2100+
+7200+-+P%5B1%5D+=+5100+
------------------------------
$2,100 was invested @ 10%
$5,100 was invested @ 8%
------------------------------
check:
+I%5B1%5D+=+.1P%5B1%5D+
+I%5B1%5D+=+.1%2A2100+
+I%5B1%5D+=+210+
and
+I%5B2%5D+=+.08P%5B2%5D+
+I%5B2%5D+=+.08%2A5100+
+I%5B2%5D+=+408+
------------------------
+I%5B1%5D+%2B+I%5B2%5D+=+210+%2B+408+
+I%5B1%5D+%2B+I%5B2%5D+=+618+
OK