Answer:
1.4% is the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.
Step-by-step explanation:
We are given the following in the question:
The exponential growth model is given by:
![A(t) = A_0e^{kt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A_0e%5E%7Bkt%7D)
where k is the growth rate, t is time in years and
is constant.
The world population is 5.9 billion in 2006.
Thus, t = 0 for 2006
![A_0 = 5.9\text{ billions}](https://tex.z-dn.net/?f=A_0%20%3D%205.9%5Ctext%7B%20billions%7D)
We have to find the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.
Putting these values in the growth model, we have,
![24 = 5.9e^{100k}\\\\k = \dfrac{1}{100}\ln \bigg(\dfrac{24}{5.9}\bigg)\\\\k = 0.01403\\k = 0.01403\times 100\% = 1.4\%](https://tex.z-dn.net/?f=24%20%3D%205.9e%5E%7B100k%7D%5C%5C%5C%5Ck%20%3D%20%5Cdfrac%7B1%7D%7B100%7D%5Cln%20%5Cbigg%28%5Cdfrac%7B24%7D%7B5.9%7D%5Cbigg%29%5C%5C%5C%5Ck%20%3D%200.01403%5C%5Ck%20%3D%200.01403%5Ctimes%20100%5C%25%20%3D%201.4%5C%25)
1.4% is the maximum acceptable annual rate of growth such that the population must stay below 24 billion during the next 100 years.
Answer:
A)
Step-by-step explanation:
Answer:
its B
Step-by-step explanation:
Set up two equations:
1st: P (for Price family) + J (for Jenkins family) = 45 hours
2nd: 20P + 35J = 1200 liters
Rewrite the first equation as P = 45 – J
Replace P in the second equation:
20(45-J) + 35J = 1200
Simplify:
900 -20J + 35J = 1200
900 +15J = 1200
Subtract 900 from both sides:
15J = 300
Divide both sides by 15:
J = 300/15
J = 20
Jenkins used theirs for 20 hours
Price used theirs for 45-20 = 25 hours.
Answer:
hi
Step-by-step explanation:
i think so,
(5x-54)⁰=(3x+16)⁰
5x-3x=16+54
2x=70
x=35⁰
3x+16=3×35+16=121
5x-54=5×35-54=121
hope it helps
have a nice day