SOLUTION: ​$5900 is​ invested, part of it at 12​% and part of it at 6​%. For a certain​ year, the total yield is ​$540.00. How much was invested at each​ rate? How much was i

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Question 1139383: ​$5900 is​ invested, part of it at 12​% and part of it at 6​%. For a certain​ year, the total yield is ​$540.00. How much was invested at each​ rate?
How much was invested at 12%
How much was invested at 6%
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
​$5900 is​ invested, part of it at 12​% and part of it at 6​%.
For a certain​ year, the total yield is ​$540.00.
How much was invested at each​ rate?
;
let a = amt invested at 12%
the total investment is 5900, therefore
(5900-a) = amt invested at 6%
:
.12a + .06(5900-a) = 540
.12a + 354 - .06a = 540
.12a - .06a = 540 - 354
.06a = 186
a = 186/.06
a = $3100 invested at 12%
then
5900 - 3100 = $2800 invested at 6%
:
:
check this, find the actual return on each investment
.12*3100 = $372
.06*2800 = $168
-----------------
total int: $540