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Sloan [31]
3 years ago
12

Pls help math question

Mathematics
1 answer:
Anna007 [38]3 years ago
5 0

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.

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