SOLUTION: Ok, here is a real life equation that I need to solve for a calulation I'm doing at work. I need to solve for x in the following equation: A = B * (1+i)^x + C * (1+j)^x where

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Ok, here is a real life equation that I need to solve for a calulation I'm doing at work. I need to solve for x in the following equation: A = B * (1+i)^x + C * (1+j)^x where      Log On


   



Question 150439: Ok, here is a real life equation that I need to solve for a calulation I'm doing at work. I need to solve for x in the following equation:
A = B * (1+i)^x + C * (1+j)^x
where i and j are interest rates and A, B and C are dollar amounts. In story problem language the problem is: How long will it take for Fund B and Fund C combined take to grow to amount A given that Fund B is growing at i% and Fund C is growing at j%? I know I can't just multiply both sides by ln in this equation and have it work, so I'm not sure what to do with it.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use a graphing calculator.
Let Y1=A
Let Y2 = the right side of your equation for specific i and j values.
Find the x-value of the intersection point of the two graphs.
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Cheers,
Stan H.