A city's population is 12,000 and grows at 2.6% rate. What will the population be after 25 years? A city's population is 230,000 and decreases at a 4.4% rate. What will the population be after 14 years?

Step-by-step explanation:

First question.

We would apply the formula for exponential growth which is expressed as

A = P (1 + r) ^t

Where

A represents the population after t years.

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 12000

r = 2.6% = 2.6/100 = 0.026

n = 25 years

Therefore,

A = 12000 (1 + 0.026) ^25

A = 12000 (1.026) ^25

A = 22796

Second question

The formula for exponential decay is

A = P (1 - r) ^n

r = 4.4% = 0.044

n = 14 years

P = 230000

Therefore,

A = 230000 (1 - 0.044) ^14

A = 230000 (0.956) ^14

A = 122501