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In a pest eradication program, N sterilized male flies are released into the general population each day, and 90% of these flies will survive a given day.

A) Show that the number of sterilized flies in the population after n days is

N + (.9)N + (.9)

N + (.9)N + (.9)

^{2}N + ...... + (.9)^{n-1}NB) If the long ranger goal (infinite) of the program is to keep 20,000 sterilized males in the population, how many such flies should be released each day?