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A biologist originally marked 40 butterflies in Wilson Park. Over a month long. Butterfly traps caught 200 butterflies. Of those 200, 80 were found to have tags. Based on this information, what is the estimated population size of the butterflies in Wilson Park?

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p cubedplusx squaredequals38 comma 400. determine the rate at which sales are changing at a time when xequals80, pequals20, and the price is falling at the rate of $.20 per week.

Acircle has a circumference of 28.36 units what is the diameter of the circle

Gabrielle's age is two times mikhail's age. the sum of their ages is 84. what is mikhail's age?