SOLUTION: Solve for A, B and r in the following equations: A+B=9250 A+Br=9000 A+Br^2=8775 I have tried to cancel off the A's but the values I am getting do not make sense. Could

Question 805553: Solve for A, B and r in the following equations:
A+B=9250
A+Br=9000
A+Br^2=8775
I have tried to cancel off the A's but the values I am getting do not make sense.
Could you please help?
Thank you.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve for A, B and r in the following equations:
A+B=9250
A+Br=9000
A+Br^2=8775
================
A+B=9250
A+Br=9000
------------ Subtract
B - Br = 250
B*(1-r) = 250
B = 250/(1-r)
-----------
A+B=9250
A+Br^2=8775
-------------- Subtract
B - Br^2 = 475
B(1-r^2) = 475
(1-r)*(1-r^2) = 475
r^3 - r^2 - r - 474 = 0
r = 8.1895258 (by graphing)
-----------
B = 250/(1-r)
B = -34.7728
------------
A = 9284.7728
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