The number of cases after two years is 221.
As a result of the disease, the population of the village would decrease by 95% per year. The number of cases at the village is function of the rate of infection, the number of years and the beginning number of cases.
The exponential function that can be used to represent this situation is:
FV = P( 1 + r)^t
FV = 200 (1.05)^2 = 221
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