SOLUTION: you invest $6,000 in two accounts paying 6% and 9% annual interest, respectively. At the end of the year, the accounts earn the same interest. how much was invested at each rate?

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Question 1085717: you invest $6,000 in two accounts paying 6% and 9% annual interest, respectively.
At the end of the year, the accounts earn the same interest. how much was invested at each rate?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2BB=6000
and
0.06A=0.09B
A=%283%2F2%29B
Substituting above,
%283%2F2%29B%2BB=6000
%285%2F2%29B=6000
B=%282%2F5%296000
Solve for B then use either equation to solve for A.