Question

The population of a town increases every year by 2% of the population beginning of that year. The number of years by which the total increase of population be 40% is​

Answer 1

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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.

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Answer 2

Step-by-step explanation:

POPULATION GROWTH- 2% INCREASE IN ONE YEAR

TOTAL INCREASE OF POPULATION = 40%

NO OF YEARS = X

2% = 1 year

40% = x year ?

2x= 40

x= 40/2

×= 20 years.