Step-by-step explanation:
(a) dP/dt = kP (1 − P/L)
L is the carrying capacity (20 billion = 20,000 million).
Since P₀ is small compared to L, we can approximate the initial rate as:
(dP/dt)₀ ≈ kP₀
Using the maximum birth rate and death rate, the initial growth rate is 40 mil/year − 20 mil/year = 20 mil/year.
20 = k (6,100)
k = 1/305
dP/dt = 1/305 P (1 − (P/20,000))
(b) P(t) = 20,000 / (1 + Ce^(-t/305))
6,100 = 20,000 / (1 + C)
C = 2.279
P(t) = 20,000 / (1 + 2.279e^(-t/305))
P(10) = 20,000 / (1 + 2.279e^(-10/305))
P(10) = 6240 million
P(10) = 6.24 billion
This is less than the actual population of 6.9 billion.
(c) P(100) = 20,000 / (1 + 2.279e^(-100/305))
P(100) = 7570 million = 7.57 billion
P(600) = 20,000 / (1 + 2.279e^(-600/305))
P(600) = 15170 million = 15.17 billion
Answer:
HG = 3
Step-by-step explanation:
HF = HG + GF
11 = HG + 8
11 - 8 = HG
3 = HG
Answer:
b = 12 = 20.78
c = 24
Step-by-step explanation:
The sides of a 30-60-90 triangle always have the same proportion to each other. The side opposite the 30 degree angle is x, the side opposite the 60 degree angle is x and the side opposite the 90 degree angle is 2x (this side is called the hypotenuse) .
Since we know the side opposite the 30 degree angle here is 12, then we know that the side opposite the 90 degree angle is 2 times the side opposite the 30 degree angle, c = 24 units (2 x 12).
Finally, the side opposite the 60 degree angle is 12 which equals 20.78 units.
Answer:
-11
Step-by-step explanation:
I believe this is it
Answer:
the answer is 102.40, 204.80 and 409.60
Step-by-step explanation:
because those are the only 3 that work, 102,40 times 2 is 204.80 times 2 is 409.60
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