Assume that the number of hosts connected to the Internet at year 2010 is five hundred million. If the number of hosts increases only 20 percent per year, what is the number of hosts in year 2020?

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Answer:

3096 million is the number of hosts in year 2020.

Explanation:

The number of hosts connected to the Internet at year 2010 ,P= 500 million

If the number of hosts increases only 20 percent per year.

Rate at which host increasing per year = 20% =0.20

Number of times host increased per time period(here in per year) = n = 1

The number of hosts connected to the Internet at year 2020 = P'

Duration of time = 2020 year - 2010 year = 10 years

[tex]P'=P(1+\frac{R}{n})^{nT}[/tex]

[tex]P'=500 million(1+\frac{0.20}{1})^{1\times 10}[/tex]

P' = 3095.87 million ≈ 3096 million

3096 million is the number of hosts in year 2020.

Based on the number of hosts in 2010, and the growth rate, the number of hosts in 2020 will be 3,096 million.

The number of hosts in 2020 is:

= Number of hosts in 2010 x ( 1 + growth rate) ^ number of years

Number of years:

= 2020 - 2010

= 10 years

Solving would give:

= 500 x (1 + 20%)¹⁰

= 3,096 million

In conclusion, the number of hosts in 2020 will be 3,096 million.

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