In 2017, the population of a district was 20,800. With a continuous annual growth rate of approximately 6%, what will the population be in 2032 according to the exponential growth function? Round the answer to the nearest whole number.

Maiclubk

Maiclubk

Answered question

2020-12-17

In 2017, the population of a district was 20,800. With a continuous annual growth rate of approximately 6%, what will the population be in 2032 according to the exponential growth function?

Answer & Explanation

Sadie Eaton

Sadie Eaton

Skilled2020-12-18Added 104 answers

In 2017, the population of a district was 20,800.
A continuous annual growth rate is of approximately 6%.
To find the population in 2032 according to the exponential growth function.
The formula for the exponential growth function is given by,
A=P(1+r)t,
where A is the population after growth,
P is the initial population,
r is the yearly growth rate, and
t is time in years.
Here, P=20,800, r=6%=0.06, and t=15.
Step 3
Let, A=P(1+r)t.
=>A=20,800(1+0.06)15
=20,800(2.3965)
=49,847.
249,847
Hence, the population in 2032 according to the exponential growth function will be 49,847.

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