Answer:
7 in
Step-by-step explanation:
If 12 inches of wire can be bought for $0.48, we can set up the following ratio:
Then, to determine how many inches of wire can be bought for $0.28, set up equivalent fractions, as such:
Then, cross-multiply and solve for 
:
Answer:
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
Answer:1385.44mm sq
Step-by-step explanation: surface area of a circle = pi x radius squared
3.142 x 21 squared
(4x-3)(x+5)
= 4x^2+20x-3x-15
= 4x^2+ 17x -15.
The final answer is 4x^2+ 17x -15~
