A town has a population of 17000 and grows at 2.5% every year. To the nearest year, how long will it be until the population will reach 19600?

6 years

Step-by-step explanation:

The initial population of the town here is

And we know that it grows at a rate of 2.5% each year: this means that after n years, the town's population is given by

Here we want to find the number of years n after which the town population is

p = 19,600

Therefore, we have to re-arrange the equation and solve for n. We get:

So, after approx. 6 years.