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The population of a certain species of fish has a relative growth rate of 1.8% per year. It is estimated that the population in 2010 was 12 million. (a) Find an exponential model n(t) = n0ert for the population (in millions) t years after 2010.

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Akinny

Answer:

n (t) = 12,000,000 e (0.018t)

Step-by-step explanation:

The exponential equation for the population of the fish is given by:

n (t) = nâ‚€e (rt)------------------------------------------------- (1)

Assuming 2010  is the beginning year, t = 0, n= 12,000,000, r = 0.018

Substituting into equation (1), we have :

12,000,000 =  n₀e (0.018 x 0)

nâ‚€ =12,000,000

So equation (1) becomes:

n (t) = 12,000,000 e (0.018t)------------------------------------------------- (2)

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