Question

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?

Answer 1

Answer:

The 12000 City would become 22,986 people, while the 230,000 city would become a population of 124,223.

Step-by-step explanation:

1st Part:

=12000⋅(0.026000000000000002⋅25)

=12000(2.718281828459045)(0.65)

=22986

2nd Part:

=230000⋅(−0.044000000000000004⋅14)

=230000(2.718281828459045)(−0.616)

=124223

Answer 2

Answer:

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