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sveta [45]
3 years ago
7

The exponential model for the population of India is A=1173.1 e0.008t, where A is the population in millions t years after 2010.

a.What was the population of India in 2010?b. What is the projected population of India in 2020?c. When willIndia's population be 1491 million?
Mathematics
1 answer:
Kaylis [27]3 years ago
5 0

Answer:

Step-by-step explanation:

Given

Population variation of India is

A=1173.1e^{0.008t}

Population of India at 2010 i.e. t=0

A=1173.1\cdot 1

A=1173.1 million

(b)Population in 2020

i.e. t=10 yrs

A=1173.1e^{0.008\times 10}

A=1270.80 million

(c)Time at which Population is 1491 million

1491=1173.1e^{0.008t}

1.27099=e^{0.008t}

t=29.96 yrs

i.e. up to 2040 Population would have crossed 1491 million

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