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Deer in a Certain Region, Are Born at a Rate

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Deer in a certain region, are born at a rate that is proportional to their current population. With the absence of outside factors, the population will double in 3 years' time.
Each year 5 deer join the population, 10 are caught by hunters, and 4 die of natural causes.
If initially there are 50 deer, will the population survive? If not, when will it die out?


Definitions:

Specified Risk Level

A predefined degree of risk that an investment or portfolio is expected to adhere to.

Efficient Market

A market in which asset prices fully reflect all available information, making it impossible to consistently achieve higher returns than the overall market.

Unexpectedly High Earnings

Unexpectedly high earnings refer to a company's reported profits that significantly exceed analysts' forecasts or the company's own guidance.

Abnormal Price Change

A significant variation in the price of a security or trading instrument that cannot be explained by market fundamentals and might be attributed to extenuating circumstances or events.

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