Suppose that poaching reduces the population of an endangered animal by 5% per year, homework help

Suppose that poaching reduces the population of an endangered animal by 5% per year. Further suppose that when the population of this animal falls below 40, its extinction is inevitable (owing to the lack of reproductive options without severe in-breeding). If the current population of the animal is 1300, when will it face extinction? Comment on the validity of this exponential model.

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It will take about years for the animal to face extinction.

(Do not round until the final answer. Then round to the nearest whole number as needed.)