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The population  P(t)  of mosquito larvae growing in a tree hole increases according to the logistic equation with growth constant  k = 0.5  days−1...

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Basic Math

Thepopulation  P(t)  ofmosquito larvae growing in a tree hole increases according to thelogistic equation with growthconstant  k =0.5  days−1 and carryingcapacity  A = 1000.

Find a formula for the larvaepopulation  P(t),assuming an initial population of  P(0)= 50  larvae.

P(t) =__________

After how many days will the larvae population reach 250? (Roundyour answer to two decimal places.)
____________ days

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