If pentagon F G H J K is similar to pentagon M P Q S T the value of x is: 13.5.
<h3>Pentagon</h3>
Pentagon F G H J K=Pentagon M P Q S T
F K/ M T=J H/S R
Where:
F K=6cm
M T=9cm
J H=9cm
S R=x
Hence:
6/9=9/x
Cross multiply
6x=81
Divide both side by 6x
x=81/6
x=13.5
Inconclusion if pentagon F G H J K is similar to pentagon M P Q S T the value of x is: 13.5.
Learn more about pentagon here:brainly.com/question/858867
Answer:
A) R(x) = 120x - 0.5x^2
B) P(x) = - 0.75x^2 + 120x - 2500
C) 80
D) 2300
E) 80
Explanation:
Given the following :
Price of suit 'x' :
p = 120 - 0.5x
Cost of producing 'x' suits :
C(x)=2500 + 0.25 x^2
A) calculate total revenue 'R(x)'
Total Revenue = price × total quantity sold, If total quantity sold = 'x'
R(x) = (120 - 0.5x) * x
R(x) = 120x - 0.5x^2
B) Total profit, 'p(x)'
Profit = Total revenue - Cost of production
P(x) = R(x) - C(x)
P(x) = (120x - 0.5x^2) - (2500 + 0.25x^2)
P(x) = 120x - 0.5x^2 - 2500 - 0.25x^2
P(x) = - 0.5x^2 - 0.25x^2 + 120x - 2500
P(x) = - 0.75x^2 + 120x - 2500
C) To maximize profit
Find the marginal profit 'p' (x)'
First derivative of p(x)
d/dx (p(x)) = - 2(0.75)x + 120
P'(x) = - 1.5x + 120
-1.5x + 120 = 0
-1.5x = - 120
x = 120 / 1.5
x = 80
D) maximum profit
P(x) = - 0.75x^2 + 120x - 2500
P(80) = - 0.75(80)^2 + 120(80) - 2500
= -0.75(6400) + 9600 - 2500
= -4800 + 9600 - 2500
= 2300
E) price per suit in other to maximize profit
P = 120 - 0.5x
P = 120 - 0.5(80)
P = 120 - 40
P = $80
Answer:
the Sharpe ratio of the optimal complete portfolio is 0.32
Explanation:
The computation of the sharpe ratio is shown below:
= (Return of portfolio - risk free asset) ÷ Standard deviation
= (17% - 9%) ÷ 25%
= 8% ÷ 25%
= 0.32
Hence, the Sharpe ratio of the optimal complete portfolio is 0.32
We simply applied the above formula
Answer:
a. Unity of direction
Explanation:
Unity of direction: In this principle, the direction of work is given by the higher authority with a view to achieving the organizational objective.
Division of work: In this principle, the work is divided between many subordinates/ employees, so that the task should be done in proper time and in an efficient & effective manner.
Scalar chain: This scalar chain represents the rank from high authority to low authority in a straight line so that proper communication/ cooperation can be done without any misunderstanding.
Unity of command: In this principle, the employees are responsible for only one person/ one supervisor/ one commander.
In the given scenario, the unity of direction principle applies as the board of directors wants to establish an independent business so that each domain objective can be achieved so that it becomes to accomplish the organizational objective.
Answer:
Year Cashflow [email protected]% PV
$ $
0 (750,000) 1 (750,000)
1 350,000 0.9259 324,065
2 325,000 0.8573 278,623
3 250,000 0.7938 198.450
4 180,000 0.7350 132,300
NPV 184,438
The correct answer is D. The difference in answers is due to rounding error.
Explanation:
Net present value is the diffrence between initial outlay and present value of inflow. We need to discount the cash inflows for year 1 to year 4 at 8% and then calculate the present value of cash inflows by multiplying the cash inflows by the discount factors. Finally, we will calculate NPV by deducting the initial outlay from the present value of cash inflows.
