Answer: The population after 40 years will be 400 million
Explanation:
To calculate population of a country after 40 years,, we use the equation:
[tex]A=P(1+\frac{R}{100})^{nT}[/tex]
A = Population after time period 'T'
P = Current population = 100 million
R = rate of interest = 3.5 %
n = Number of times interest applied per time period = 1 (annually)
T = time period = 40 years
Putting values in above equation, we get:
[tex]A=100(1+\frac{3.5}{100})^{1\times 40}\\\\A=396\approx 400\text{ million}[/tex]
Hence, the population after 40 years will be 400 million
Based on the current population and the growth rate, the population of this country in 40 years will be D. 400 million.
With a growth rate of 3.5%, the population of this country in 40 years can be found as:
= Current population x ( 1 + rate) ^ number of years
Solving would give:
= 100 million x ( 1 + 3.5%)⁴⁰
= 100 million x 3.959259721
= 395,925,972
= 400 million people rounded up.
In conclusion, the population will be 400 million.
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