Answer:
A) The business must gain government permission and issue a stock sale, followed by a shareholder vote.
Answer:
0.1333
Explanation:
Given that,
Selling price = $5
Variable cost = $3
Annual sales = $20,000
Total sales = $60,000
Contribution margin:
= Selling price - Variable cost
= $5 - $3
= $2
Number of units sold:
= Annual sales ÷ Selling price
= $20,000 ÷ $5
= 4,000 units
Total contribution sales:
= Number of units sold × Contribution margin per unit
= 4,000 units × $2
= $8,000
Weighted contribution:
= Total contribution sales ÷ Total sales
= $8,000 ÷ $60,000
= 0.1333
Answer:
the probability that exactly 8 complete the program is 0.001025
Explanation:
given information:
60 % of those sent complete the program, p = 0.6
the total of people being sent, n = 27
exactly 8 complete the program, x = 8
to find the probability, we can use the following formula
![P(X=x)=\left[\begin{array}{ccc}n\\x\\\end{array}\right] p^{x} (1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dn%5C%5Cx%5C%5C%5Cend%7Barray%7D%5Cright%5D%20p%5E%7Bx%7D%20%281-p%29%5E%7Bn-x%7D)
![P(X=8)=\left[\begin{array}{ccc}27\\8\\\end{array}\right] 0.6^{8} (1-0.6)^{27-8}](https://tex.z-dn.net/?f=P%28X%3D8%29%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D27%5C%5C8%5C%5C%5Cend%7Barray%7D%5Cright%5D%200.6%5E%7B8%7D%20%281-0.6%29%5E%7B27-8%7D)
![P(X=8)=\left[\begin{array}{ccc}27\\8\\\end{array}\right] 0.6^{8} (0.4)^{19}](https://tex.z-dn.net/?f=P%28X%3D8%29%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D27%5C%5C8%5C%5C%5Cend%7Barray%7D%5Cright%5D%200.6%5E%7B8%7D%20%280.4%29%5E%7B19%7D)
= 0.001025
ANSWER
C. DIMINISHING Returns to property/ scale
EXPLANATION
Returns to Scale is a production concept used in Long Run (when all factors are variable i.e changeable)
It denotes relative change in output when all inputs change in same proportion .
Increasing Returns to Scale : Proportionate Increase in Output > Proportionate Increase in all inputs .
Constant Returns to Scale : Proportionate Increase in Output = Proportionate Increase in all Inputs .
Negative Returns to Scale : Proportionate Increase in Output < Proportionate Increase in all Inputs .
So : If all inputs are doubled (X2) - If output increases equal i.e double (X2) , Constant Returns to Scale . If output increases more i.e triple (X3) , Increasing Returns to scale . If output increases less i.e (1.5X) , Decreasing Returns to Scale.
Given Information:
Current Population = P₀ = 7 billion = 7x10⁹
Growth rate = r = 3 %
Period = t = 100 years
Required Information:
(a) Population after 100 years = ?
(b) Population after t = 0, 1, 2, 10, 25, 50 years = ?
(c) Population vs time graph = ?
Explanation:
The human population growth can be modeled as an exponential growth,

where P₀ is the current population, r is the growth rate and t is the time period
(a) What would the population equal 100 years from now?

P = 140.6x10⁹
(b) Compute the level of the population for t = 0, t = 1, t = 2, t = 10, 25, and t =50
<u>t = 0</u>
P = 7x10⁹e⁰
P = 7x10⁹
<u>t = 1</u>
P = 7x10⁹e^0.03*1
P = 7.213x10⁹
<u>t = 2</u>
P = 7x10⁹e^0.03*2
P = 7.423x10⁹
<u>t = 10</u>
P = 7x10⁹e^0.03*10
P = 9.45x10⁹
<u>t = 25</u>
P = 7x10⁹e^0.03*25
P = 14.82x10⁹
<u>t = 50</u>
P = 7x10⁹e^0.03*50
P = 31.37x10⁹
(c) Make a population versus time graph
Attached as image