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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