Respuesta :

Answer:

12,780

Step-by-step explanation:

Initial population = 9000

grows 7% of 9000= 630 people in a year

after 6 yrs, number of added people = 630× 6=3780 ...... totally, population = 9000+ 3780

= 12,780

The population of the town after 6 years will be 13506.

Concept:

  • As the population grows at r% per year and if the Current population is P, then After 'x' years, the population will be [tex]P_x = P(1 + \frac{r}{100} )^x[/tex]

How to solve the given question?

  • Initial Population, P = 9000
  • Rate of increase in population, r = 7% per year
  • Period , x = 6 years
  • ∴ The population after 6 years,[tex]P_x = P(1 + \frac{r}{100} )^x[/tex]
    ∴ [tex]P_6 = 9000(1 + \frac{7}{100})^6\\[/tex]
    ∴[tex]P_6 = 13506 \ peoples[/tex]

Thus, the population of the town after 6 years will be 13506.

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