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Question: Answered & Verified by Expert
In 2005 , for each of the 14 million people present in a country, $0.028$ were born and $0.008$ died during the year. Using exponential equation, the number of people present in 2015 is predicted as
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Options:
  • A
    25 million
  • B
    17 millions
  • C
    20 millions
  • D
    18 million
Solution:
2354 Upvotes Verified Answer
The correct answer is:
17 millions
Exponential equation
$$
\begin{aligned}
&\mathrm{dN} / \mathrm{dt}=(\mathrm{b}-\mathrm{d}) \times \mathrm{N} \\
&\mathrm{dN} / 10=(0.028-0.008) \times 14(0.020) \times 14 \\
&\mathrm{dN} / 10=0.28 \\
&\mathrm{dN}=0.28 \times 10 \\
&\mathrm{dN}=2.8 \\
&=14 \text { million }+2.8 \text { million } \\
&=16.8 \text { million }=17 \text { million } \\
&
\end{aligned}
$$
So, the number of people present in 2015 is predicted as 17 millions.

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