Question

When a city was incorporated, it initially had a population of 30,000 people. The city has
been growing at a rate of 3% per year. If the growth rate continues at 3% per year, what will
be the population 10 years after the city is incorporated?
veh face continue de ses per year, what will be the population 10 years after the city is incorporated?
a. 40,496
b. 40,317
c. 309,000
d. 39,000

Answer 1

Answer:

The increase population of city after 10 years is 40,317 .

Step-by-step explanation:

The initial population of city = P = 30,000 peoples

Let The increase population of city after 10 years = F

The period for which population increase = 10 years

The rate at which the population increases in 10 years = 3%

Now, According to question

The increased population of city after n years = The initial population of city × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

i.r F = P × $(1+\dfrac{\textrm r}{100})^{\textrm n}$

Or, F = 30,000 × $(1+\dfrac{\textrm 3}{100})^{\textrm 10}$

Or, F = 30,000 × $(1.03)^{10}$

Or, F = 30,000 × 1.3439

Or, F = 40,317

So, The increase population of city after 10 years = F = 40,317

Hence, The increase population of city after 10 years is 40,317 . Answer