Question

the population of city increase 5% annually but decrease by 1/4% due to emigration. find the net increment in percentage in 3 years?​

Answer 1

Answer: 4.04

Step-by-step explanation:

Answer 2

Answer:

The net increment in population in percentage in 3 years is 14.93%

Step-by-step explanation:

Given the population of city increases  annually by 5%

         and decrease by 1/4%

The rate of change in the population is

                $5-\frac{1}{4} =\frac{20-1}{4} =\frac{19}{4}=4.75\%$  

Let the current population be 100.

Using the growth rate formula, the increase in population in n years is

              $Projection=Present\big(1+growth\ rate\big)^{n}$

Thus, the net increment in 3 years is

                                 $=100\big(1+\frac{4.75}{100} \big)^{3}$

                                 $=100\big(\frac{104.75}{100} \big)^{3}$

                                 $=114.93$

  the net increment in percentage  is

                       $114.93\%-100\%=14.93\%$

Therefore, the net increment in population in 3 years is 14.93%