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 23600

almost 15.5 years

Step-by-step explanation: let the population will be reached in t years

17000 + (17000x2.5%xt) = 23600

or, 17000 x (1 + 2.5% x t) = 23600

or, 1 + 2.5% x t = 23600/17000

or, 1 + 2.5% x t = 236/170

or, 2.5% x t = 236/170 - 1

or, 2.5% x t = 66/170

or, t = 66 / (170 x 2.5%)

t = 15.529