P=f(t) gives the size of a population that begins with 19,000 members and grows at a continuous annual rate of 1.71%. Find a formula for the population.

Janessa Benson 2022-09-30 Answered
P = f ( t ) gives the size of a population that begins with 19,000 members and grows at a continuous annual rate of 1.71%.
Find a formula for the population.
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Answers (1)

Quinn Hansen
Answered 2022-10-01 Author has 11 answers
Solution:
Initial population = 19000
Rate of grow =1.71% =0.0171
So, population after one year = 19000 × ( 1 + 0.0171 )
population after two year = 19000 × 1.0171 × 1.0171 = 19000 × ( 1.0171 ) 2
Similiarly
population after 't' years from beginning = 19000 × ( 1.0171 ) t
P = f ( t ) = 19000 ( 1.0171 ) t
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