9514 1404 393
Answer:
N = 5; only one rate is possible
Step-by-step explanation:
The values of the sets of chips are ...
12 +9N +8N^2 +4N^3
and
2 +N +N^3 +N^4
We want to find N such that the difference in value is zero:
N^4 -3N^3 -8N^2 -8N -10 = 0
A graphing calculator can show us the roots. There is only one positive real root to this equation: N = 5.
The exchange rate N is 5. Only one rate is possible.
