in the year 2050.80 Assuming that the population is growing according to the model P(t) = Poe"" over this time period, %3D find r.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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53. Population of India The population of India is pro-
jected to grow from 0.998 billion in 1999 to 1.529 billion
Transcribed Image Text:53. Population of India The population of India is pro- jected to grow from 0.998 billion in 1999 to 1.529 billion
in the year 2050.80 Assuming that the population is growing
according to the model P(t) = Poet over this time period,
find r.
%3D
Transcribed Image Text:in the year 2050.80 Assuming that the population is growing according to the model P(t) = Poet over this time period, find r. %3D
Expert Solution
Step 1

Given that

Population of India in 1999 was 0.998 billion.

Population of India in 2050 will be 1.529 billion.

Assuming that the population is growing according to the model

P(t)=P0ert

where,

P- Initial population,

P(t) - Population after t years,

t - Number of years,

r - Rate of growth.

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