Question

Pls help math question

Answer 1

Year 2004

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}((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)

`(0.03639)/(0.00389)=t-1995`

t = 1995 + 9.4

t = 2004

In year 2004 population of the country will be 311.