In 2012, the population of a city was 6.27 million. The exponential growth rate was 1.25% per year. Estimate the population of the city in 2018.

Respuesta :

Answer:

The estimate the population of the city in 2018 is 7 million.

Step-by-step explanation:

The population of city in 2012 = 6.27 million.

The exponential growth rate = 1.25%

Now, to find the estimate population of the city in 2018.

Number of years(n) = 2018-2012 = 6 years.

Rate (r) = 1.25%.

Population in 2012(P) = 6.27 million.

Population in 2018 = A.

Now, putting the formula to find the population:

[tex]A=P(1+\frac{r}{100})^{n}[/tex]

[tex]A=6.27(1+\frac{1.25}{100})^{6}[/tex]

Adding the fraction in bracket.

[tex]A=6.27(\frac{101.25}{100})^{6}[/tex]

[tex]A=6.27(1.0125)^{6}[/tex]

[tex]A=6.27\times 1.0509[/tex]

[tex]A=6.589[/tex]

After estimating the population it will be 7 million.

As estimating is round up the value because in hundredth place it is 8 and in tenth place it is 5.

Therefore, the estimate the population of the city in 2018 is 7 million.