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Solve the Problem P(t)=45(1+0.6t)(3+0.02t)\mathrm { P } ( \mathrm { t } ) = \frac { 45 ( 1 + 0.6 \mathrm { t } ) } { ( 3 + 0.02 \mathrm { t } ) }

Question 314

Essay

Solve the problem.
-A rare species of insect was discovered in the rain forest of Costa Rica. Environmentalists transplant the insect into a
protected area. The population of the insect t months after being transplanted is P(t)=45(1+0.6t)(3+0.02t)\mathrm { P } ( \mathrm { t } ) = \frac { 45 ( 1 + 0.6 \mathrm { t } ) } { ( 3 + 0.02 \mathrm { t } ) } a) What was the population when t = 0?
b) What will the population be after 10 years?
c) What is the largest value the population could reach?

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a) blured image insect...

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