Question

The population of a city is 490,000 and is increasing at a rate of 2.75% each year. Approximately when

will the population reach 980,000?

The population will reach 980,000 in years.

Answer 1

The population will reach 980,000 in 26 years approximately.

Explanation:

Initial Population of city = 490000

Rate of increase in population = 2.75%

We are supposed to find Approximately when will the population reach 980,000

Formula :
`N(t)=N_0(1+r)^t`

N(t)= population after t years

`N_0=` Initial population

t - time

r = rate of interest in decimals

So,
`980000=490000(1+(2.75)/(100))^t`

t=25.55

So, the population will reach 980,000 in 26 years approximately.