Answer:
8 slices
Step-by-step explanation:
of pizza widnwksdbwn
Answer:
$0.89/apple
Step-by-step explanation:
$4.45
-------------- = $0.89/apple
5 apples
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:
6.708
Step-by-step explanation:
- Y varies directly as the square of x (Given)
......(1)
- Y varies inversely as the square root of z (Given)
......(2)
- Combining (1) & (2), we find:
(Where k is constant of proportionality).....(3)
- Now, when y = 2, x = 3 and z = 4, we find the value of k i.e. constant.
- Plugging the value of k in (3), we find:
....(4)
- Next, in equation (4), plug y = 5, x = n and z = 16 and obtain the value of n by solving it.