Question

Pls help math question

Answer 1

Answer:

Year 2004

Step-by-step explanation:

Population of a country in year 1995 = 286

Model that expresses the growth rate of the population is,

P(t) = $286(1.009)^{t-1995}$

Here, t = year

a). For P = 311 million people

   311 = $286(1.009)^{t-1995}$

   $\text{log}(\frac{311}{286})=\text{log}(1.009)^{t-1995}$

   log(311) - log(286) = (t - 1995)log(1.009)

   2.4928 - 2.4564 = (t - 1995)(0.00389)

   $\frac{0.03639}{0.00389}=t-1995$

   t = 1995 + 9.4

   t = 2004

In year 2004 population of the country will be 311.