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3 years ago

10. The population of India is 1.353 billion, and expected to grow at the rate of one percent

Mathematics

1 answer:

Afina-wow [57]3 years ago

8 0

Answer:

39 years

Step-by-step explanation:

Adapt the formula A = P(1 + r)^n, letting P represent the original population, r the growth rate as a decimal fraction, and n the number of years.

Solve this for n:

2 billion = (1.353 billion)(1 + 0.01)^n

After simplification, we have:

--------- = 1.01^n

1.353

Taking the log of both sides, we get:

log 2 - log 1.353 = n log 1.01, or

log 2 - log 1.353 0.1697

------------------------ = -------------- = 39 years (rounded off from 39.28)

log 1.01 0.0043

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