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:
1 over 18
Step-by-step explanation:
The spinner has 3 segments and he spun it 1 time. So, he has a 1 in 3 chance of landing on green.
There are 6 cards so he has a 1 and 6 chance of picking up the yellow card.
Multiply those and you have 1 over 18
Done!
Answer: ST is equal to 12
Step-by-step explanation:
If RU is equal to 24 as a whole and we are given that RS and TU are equal to 6 then we could set up an equation and solve for ST.
6 + 6 +x = 24 where x is the length of ST
12 + x = 24
-12 -12
x = 12
U divide 330 by 15 and get the quotient then do the same thing to 20 and add the quotients together to solve for x and y
Answer: 1% is your answer
It's (1/100) * 100 or 1% is the percentage strength of a 1:100 solution.
Step-by-step explanation:
l NOTE:
l To change ratio strength to percent strength, it is
sometimes convenient to "convert" the last two zeros in
a ratio strength to a percent sign (%),
l change the remaining ratio to a common fraction, and
then to a decimal fraction in expressing percent.
l Examples:
l 1:100 =1/1% = 1%
l 1:200 = ½% = 0.5%
l 3:500 = 3/5% = 0.6%
l 1:2500 = l/25% = 0.04%
l 1:10,000 = 1/100% = 0.01%
