Answer:
<em>2,136,605</em>
<em />
Step-by-step explanation:
To estimate growth, we use the formula shown below:
Where
F is the future amount (we want to find for Jan 2024)
P is the present amount (present population of 1,988,817)
r is the rate of growth (0.9% means 0.009)
t is the time in years (from Jan 2016 to Jan 2024 is 8 years, t = 8)
<em>Let's put these into the formula and figure out F:</em>
<em></em>
<em />
<em>Rounding we get the population in Jan 2024 to be </em><em>2,136,605</em>
Answer:
Step-by-step explanation:
It is convenient to memorize the trig functions of the "special angles" of 30°, 45°, 60°, as well as the way the signs of trig functions change in the different quadrants. Realizing that the (x, y) coordinates on the unit circle correspond to (cos(θ), sin(θ)) can make it somewhat easier.
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<h3>20.</h3>You have memorized that cos(x) = (√3)/2 is true for x = 30°. That is the reference angle for the 2nd-quadrant angle 180° -30° = 150°, and for the 3rd-quadrant angle 180° +30° = 210°.
Cos(x) is negative in the 2nd and 3rd quadrants, so the angles you're looking for are
150° and 210°
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<h3>Bonus</h3>You have memorized that sin(π/4) = √2/2, and that cos(3π/4) = -√2/2. The sum of these values is ...
√2/2 + (-√2/2) = 0
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<em>Additional comments</em>
Your calculator can help you with both of these problems.
The coordinates given on the attached unit circle chart are (cos(θ), sin(θ)).
Answer:
Option B: 0.4
Step-by-step explanation:
We have 20 dots.
Such that each column represents the repetitions for each proportion.
So:
0.1 -> 3 times
0.2 -> 1 time
0.3 -> 4 times
0.4 -> 6 times
0.5 -> 3 times
0.6 -> 3 times
Now we can compute the mean of these values, and that will be the best estimation we can make with the given data.
Remember that for a set of N values:
{x₁, x₂, ..., xₙ}
The mean is:
In this case we have the set of 20 points described above, then the mean is:
Rounding to the first place after the decimal point, we get:
M = 0.4
Then the correct option is option B.