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A population of invasive insects is known to grow exponentially. On the day it is introduced, 25000 insects are released. After ten years, the population

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A population of invasive insects is known to grow exponentially. On the day it is introduced, 25000 insects are released. After ten years, the population has reached 150000. One year later, the EPA takes measures to cull the population, using repeated pesticide doses which kill 25% of the population every 180 days. Model this function, P(t), measuring time in days. When the population is less than 5000, the insects will die off naturally at the same rate (i.e. pesticide spray can stop) o When will this occur

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