Question

The population of a town increases every year by 2% of the population at the beginning of that year.the number of year by wch the the total increase of population be 40% is._

Answer 1

lets assume that the initial population was P
now after a year population will be
= P+(2/100)P
=P(102/100)
=1.02P

Similarly after 2 years population will be
=1.02x1.02xP

So after n number of years population will be
=P x (1.02^n)

now this population should be equal to P+40%P, so
1.4P=P x (1.02^n)
1.4=1.02^n
1.02^17=1.02^n
so n=17

that means after 17 years the total increase in the population will be 40% of that of initial population.

Answer 2

DKG DEXTEROUS ZONE

DK GOLA CLASSES