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Answer:
Given,
The initial population, P = 87,000,
Annual rate of increasing, r = 1.9 %,
a) Thus, the population after t years,
Where, k is the rate constant,
By comparing,
Hence, the approximate value of k is 0.00817.
And, the exponential growth function would be,
b) If A = 145,000,
By using graphing calculator,
We get,
The year after 27 years from 2016 is 2043.
Hence, in 2043 the population reach 145,000.