A city has a population of 280,000 people. suppose that each year the population grows by 4.5% . what will the population be after 15 years?

Given that population of the city is 280000.

Rate of growth of the population = r = 4.5% = 0.045

We have to find population after 15 years so time

t = 15

We can use growth formula to find the required population which is given by :

[tex] A=P(1+r)^t [/tex]

Where P= starting population = 280000

r= rate of growth = 0.45

t= time = 15

now plug these values into above formula.

[tex] A=280000(1+0.45)^{15} [/tex]

[tex] A=280000(1.45)^{15} [/tex]

[tex] A=280000(263.34194176) [/tex]

[tex] A=73735743.6928 [/tex]

Hence population after 15 years will be approx 73735743.