William just accepted a job at a new company where he will make an annual salary of
1 answer:
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Answer:
the annual growth rate is 15.47 %
Step-by-step explanation:
Given the data in the question;
Internet users grew from 25.8 million to 70.6 million,
from the year 2009 to the year 2016.
Using geometric mean, Annual growth rate = ?
To determine the average growth rate of a time series using geometric mean, we use the following formula;
= [
Xₙ / X₀
] - 1
where Xₙ is the data value of the last year { 70.6 million }
X₀ is the data value for the first year { 25.8 million }
n is the sample size or the time difference, ( 2016 - 2009 = 7 )
so we substitute;
= [
70.6 / 25.8
] - 1
= [
2.736434
] - 1
= [ 1.15466 ] - 1
= 0.15466
= ( 0.15466 × 100 )%
= 15.47 %
Therefore, the annual growth rate is 15.47 %
If you take a look at my really poorly drawn diagram, we can see it is a trigonometry problem. The angle, however, is outside the triangle, and we can find the angle inside the triangle next to it by taking it away from 90°:
90°0' - 72°54' = 17°6' ≈ 17.1°.
We can find the other angles becuase one is 90° and the other is:
180°-90°-17°6'=72°54' ≈ 72.9°(which you can see if you know your angle theorems).
We now have diagram 2, nicely simplified so we can see where to go.
Using the Sine Rule, i.e.
We can rearrange to find our length b:
Substituting numbers in:
b=366 feet.
90°0' - 72°54' = 17°6' ≈ 17.1°.
We can find the other angles becuase one is 90° and the other is:
180°-90°-17°6'=72°54' ≈ 72.9°(which you can see if you know your angle theorems).
We now have diagram 2, nicely simplified so we can see where to go.
Using the Sine Rule, i.e.
We can rearrange to find our length b:
Substituting numbers in:
b=366 feet.