Answer:
8y+12
Step-by-step explanation:
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
Find f(x+h) and f(x), and plug these values into the difference quotient formula.
6x + 3h
<span>18/90 in simplest form is 1/5
18 and 90 are both divisible by 9
18 = 2
90 = 10
2 and 10 are divisible by 2
2 = 1
10 = 5
18/90 = 1/5</span>
rewrite the equation as
x/3 + 1 = y/2 + 1
Subtract one from both sides:
x/3 = y/2.
and boom, there’s your answer.