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In fishery science, a cohort is the collection of fish that results from one annual reproduction. It is
usually assumed that the number of fish N( t ) still alive after t years is given by an exponential function. For Pacific halibut,N( t ) = N0e ^-0.2t , where N o is the initial size of the cohort.

Approximate the percentage of the original number still alive after 7 years. Round to one decimal place, if necessary.

please show the steps

Respuesta :

So we are given an equation that represents the population of fish left after so many years, so lets plug in t = 13 and see what happens:

N(13)=N0e^−.2(13)≈(.074)N0

The percentage of the fish still alive is then:

(.074)N0/ N0(100)=7.43%

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