Using India's rate of natural increase shown in the table, describe how to calculate the doubling time of India's population.

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Using India's Rate Of Natural Increase Shown In The Table, Describe How To Calculate The Doubling Time

Answers

Answer 1

Using an exponential function, it is found that the doubling time of India's population is of 50 years.

Exponential function

An exponential function of initial value A(0) and growth rate r is defined according to the following rule:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which t is the time in years after the initial value A(0) was taken.

From the given table, the growth rate of India's population is as follows:

r = 0.014. (as a decimal).

Hence the function is:

[tex]A(t) = A(0)(1.014)^t[/tex]

The doubling time is the value of t for which:

A(t) = 2A(0).

Hence it can be found solving the exponential function as follows:

[tex]A(t) = A(0)(1.014)^t[/tex]

[tex]2A(0) = A(0)(1.014)^t[/tex]

[tex](1.014)^t = 2[/tex] (simplify A(0))

[tex]\log{(1.014)^t} = \log{2}[/tex] (the time can be moved to the front of the log -> log power rule).

[tex]t\log{1.014} = \log{2}[/tex]

[tex]t = \frac{\log{2}}{\log{1.014}}[/tex]

t = 50 years -> rounded -> doubling time of India's population.

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Educational opportunities increased for women in the 1800s, which allowed more women to find jobs outside the home and have careers.

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Explanation:

=============================================================

"Corruption erodes the trust we have in the public sector to act in our best interests. It also wastes our taxes or rates that have been earmarked for important community projects – meaning we have to put up with poor quality services or infrastructure, or we miss out altogether."

"Impacts of Corruption" - IBAC

==============================================================

I found a really helpful source below that may help you further if needed regarding corruption impacts on government. Hope we helped!

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h t t p s : / / w w w . i b a c . v i c . g o v . a u / p r e v e n t i n g - c o r r u p t i o n / c o r r u p t i o n - h u r t s - e v e r y o n e

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Answers

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