An investor wants to invest up to $100,000 as follows:

X amount into a Certificate of Deposit (CD) that yields an expected annual return of 1% with a risk index of 1,
Y amount into a Bond with an expected annual return of 3% and a risk index of 4,
Z amount into a Stock with an expected annual return of 7% and a risk index of 8.
The investor’s objective is to maximize the total expected annual return of the investment.

However, to be prudent, the investor requires that:
The fraction of the total investment in X must be at least 20%.
The fraction of the total investment in Z must not exceed 50%.
The combined portfolio risk index must not exceed 5.

Required:
a. Set up this investment problem as a linear program, which has 3 variables, 3 basic constraints, and 4 special constraints.
b. Use an LP software to find the maximum expected annual return in dollars and the dollar values of X, Y, and Z for this best investment.
c. From the software solution, show the values of the dual variables for the four special constraints.

Answer: C.

Step-by-step explanation:

You notice how the number goes from

3.50 to 3.62 to 3.49 to 3.88

hThe 3.49 is out of place. Thus ruining the order of least to greatest.

Answer: Hewo, there your Answer is Below

My answer would Be C

Step-by-step explanation:

I chose this Answer Because, It starts with 3.5 and then 3.62 and then 3.498

Hope this helps you!!

Have a great day!!!

Answer:

If we have a function f(x) that has an inverse g(x), we have the relations:

f( g(x)) = x

g( f(x)) = x

Then if the coordinates for the function f(x) are points like (x₁, y₁)

The coordinates for the inverse, g(x), will be (y₁, x₁)

Now let's look at the table, here we can see that the coordinates for f(x) are:

(0, 650)

(100, 550)

(200, 450)

(340, 310)

(650, 0)

Then the coordinates of the inverse function will be:

(650, 0)

(550, 100)

(450, 200)

(340, 310)

(0, 650)

Answer:

area? is that what u need? or perimeter

Step-by-step explanation:

Answer:

270

Step-by-step explanation:

Convert 15% into a decimal: .15

Then multiply 1800* 0.15

This gives you 270

Answer:

270

Step-by-step explanation:

Answer:

6 friends can share the pizza

Step-by-step explanation:

1 1/2 ÷ 1/4 =6

Answer:

Divide 1 1/2 by 1/4. Note that 1 1/2 = 1 2/4 = 6/4. So now we divide 6/4 by 1/4, obtaining 6.

6 friends can enjoy an equal share.

Answer:

YES

Step-by-step explanation:

(3/8)·64 = 24 seats in the first class carriage are being used.

(7/13)·(78)·3 = 126 seats in the standard carriages are being used, for a total of ...

 24 + 126 = 150 . . . occupied seats

The number of available seats is ...

 64 +3·78 = 298

so half the seats on the train will be 298/2 = 149 seats.

 150 > 149, so more than half the seats on the train are being used.

Answer:

21,755.8

Step-by-step explanation:

To solve this equation, we must first find 407% of 60.

To do this, place the percent over 100 (fraction form), then, multiply it by the number you're finding the percentage of.

407/100 x 60/1 = 24,420/100

24420 / 100 = 244.2

244.2 is 407% of 60.

Lastly, you subtract 244.2 from 22,000.

22,000 - 244.2 = 21,755.8

Answer:

21755.8

Step-by-step explanation:

407%=4.07

4.07*60=244.2

22,000-244.2=21755.8

Answer:

10,635.934 m^2

Step-by-step explanation:

The formula for area of a circle is π r² (pi ⋅ radius ⋅ radius)

According to the word problem, 58.2 is the radius.

Now that we know the radius, we have our final equation:

pi ⋅ radius ⋅ radius

(3.14 IS USED FOR PI)

3.14 ⋅ 58.2 ⋅ 58.2 = 10,635.9336

10,635.9336 rounded to the three decimal places (to the nearest thousandth): 10,635.934

Therefore, the area of this circle in square meters is 10,635.934 m^2.

Answer:

monday wednesday tuesday thursday

Step-by-step explanation:

edge 2020

Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.

A fraction represents a part of a whole.

Monday = [tex]3\frac{1}{3}[/tex]

Convert mixed fraction to improper 10/3

Decimal value 3.33

Tuesday = [tex]3\frac{2}{5}[/tex]

The improper fraction is 17/5

Decimal value 3.4

Wednesday = [tex]3\frac{3}{8}[/tex]

The improper fraction is 27/8

Decimal 3.375

Thursday = [tex]3\frac{1}{2}[/tex]

The improper fraction is 7/2 which is 3.5

Hence, Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.

To learn more on Fractions click:

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Answer:

a) X  = 2/15 , 8/15, 1/3

b) attached below ( probability plot )

C) F(x )     attached below

d) cumulative probability plot

Step-by-step explanation:

a) Determine the probability of Function X

P( x = 0 ) =  6 / 45 = 2 /15  = 0.1333

P( x = 1 )  = 8/15  = 0.5333

P( x = 2 ) = 1/3  = 0.3333

Hence the probability of Function X = 2/15 , 8/15, 1/3

b) Graph of the probability Function of X

 x           0              1               2        

p(x)    0.1333     0.5333     0.3333

attached below is the plot ( probability plot )

c) Determine the Distribution function of CX

using the results achieved in part ( a )

attached below is the solution

d) Graph of distribution function of X

x              0                  1           2

p(x)     0.1333          0.6667     1

attached below is the plot ( cumulative probability plot )

Answer:

D-B-A-C

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

→ Remember how many degrees are on a straight line

180°

→ Set up an equation

2x + 70 + 3x + 10 = 180

→ Simplify

5x + 80 = 180

→ Minus 80 from both sides

5x = 100

→ Divide both sides by 5

x = 20

Answer:

x=20

Step-by-step explanation:

Those add up to 180 degrees because a straight line is 180 degrees

Equation

2x + 70 + 3x + 10 = 180

Add liked terms

2x+3x=5x

5x+80=180

5x+80-80=180-80

Divide both sides by 5

5x=100

x=20

hope this helps and good luck! <3

Answer: D!! also 35% are spotted

Answer:

The answer is a.

Step-by-step explanation:

This is because the percent is out of 100 and the flock of spotted sheep is placed in the numerator.

Answer:

102.96

Step-by-step explanation:

Answer:

[tex]102.96[/tex]

Step-by-step explanation:

7 . 2

× 14 . 3

___________

²2 . 16

²28 . 80

72 . 00

____________

¹1¹02.96

Therefor, the answer is 102.96

Answer:

12) 2.5

the height then is 2.5.

Step-by-step explanation:

42.9/3.3 = 13

32.5/13 = 2.5

Have a nice day!

Step-by-step explanation:

Cone Volume = 1/3 ×( π r² h)      h = 2 × diameter  =  2 × 2 × r

Cone Volume = 1/3 ×( π r² h)      h = 2 × diameter    diameter = 2r

                                                       =  2 × (2 × r)  

                                                       = 4r

Cone Volume = 1/3 ×( π r² 4r)

                        =  (4 π r³ / 3)

Answer:

Step-by-step explanation:

Answer:

C.D.E.F

Step-by-step explanation:

log(A\sqrt{B}) \log(A^2)

A. \log(A) - 2\log(B) \log(A^2)  

Answer A is wrong  because sqrt is denoted by  1/2  and the coefficient of log B is 2 not 1/2

B. \frac{\log(A)\log(B)}{2} 2\log(A)

Answer B is wrong because  2 is multiplied by B instead of 1/2

C.\log(A) \frac{1}{2}\log(B) \log(A^2)

Answer C is correct because  1/2  is multiplied by log B

D. \log(A^{3}) \frac{1}{2}\log(B)

Answer D is also correct  because  1/2  is multiplied by log B

E. 3\log(A) \frac{1}{2}\log(B)

Answer E is also correct because  3  is co efficient of log A

F. \log(A^3\sqrt{B})

This is correct. Here the log is applied to the given fraction

Answer:

[tex] \frac{4}{5} [/tex]

Answer:

72 in^3

Step-by-step explanation:

Volume: lwh

V = 6 · 3 · 4

V = 18 · 4

V = 72 in^3

Answer:

A)  $1,717.73.

B)  $1,807.02.

Step-by-step explanation:

Given that $ 1234 is invested at 5.6% annual interest for 7 years, to determine the final amount applying a simple interest and a compound interest, the following calculations must be performed:

A)

1234 + ((1234 x 0.056) x 7) = X

1234 + (69.104 x 7) = X

1234 + 483.728 = X

1717.728 = X

Therefore, applying a simple interest of 5.6% per year, in 7 years the amount invested would be $ 1,717.73.

B)

1234 x (1 + 0.056) ^ 7 = X

1234 x 1.056 ^ 7 = X

1234 x 1.464 = X

1,807.02 = X

Therefore, applying compound interest, the sum would become $ 1,807.02.

x = 1

So to figure this out we can readjust the equation to make it easier to solve

[tex]f(x) = 6x^2[/tex] is equal to [tex]6x^2 = 6[/tex]

From here we can simplify to get our answer!

[tex](6 / 6)x^2 = (6 / 6)\\x^2 = 1\\x = \sqrt{1}\\x = 1[/tex]

Answer:

X=35 Y=73

Step-by-step explanation:

use the opposite angle theorem for x. X would equal 35.

we know that x is 35. So 2y+35=180

180-35=2y

y=72.5 or 73

srry I can’t help with question 2. I don’t know how

Answer:

3 f(x)

Step-by-step explanation:

this is very open-ended, (6y)/2 is equal to 3y

9514 1404 393

Answer:

  3 3/4 cups

Step-by-step explanation:

The yield from 3/4 cup of sugar is 2 dozen cookies. Multiply that by 5 and you get: the yield from 15/4 cups of sugar is 10 dozen cookies.

As a mixed number 15/4 = 3 3/4.

Ana will need 3 3/4 cups of sugar for 10 dozen cookies.

Answer:

Solution given:

recipe use 3/4 cup of sugar for 24 or 2 dozen Cooke's

now

we have

2 dozen=3/4 cup of sugar

10dozen=3/4×10/2=15/2 cup of sugar is needed

The quadratic equations that would be used when solving the given information is 4x² + 72x = 20 , Option B is the correct answer.

Area is the space occupied by any surface ,It is measure in square units of length.

It is given that

A photographer needs a frame for a 16 x 20 inch picture

total area is 340 sq. in

width of the frame =?

Let width of the frame be x

The frame is in the shape of a Rectangle

Side of the frame =  ( 16+2x) and (20 +2x)

Area of a frame = Total Area -  Area of the picture

Total Area =  ( 16+2x) (20 +2x)

( 16+2x) (20 +2x) = 340

320 + 72x +4x² = 340

72x +4x²= 20

4x² + 72x = 20

The quadratic equations that would be used when solving the given information is 4x² + 72x = 20 , Option B is the correct answer.

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Incomplete question. However, I answered from a general research perspective.

Explanation:

Note, the term sample used in statistical research refers to subjects or persons carefully selected (using a particular sampling method/type ) to represent the target population.

A randomly selected sample could be done as either:

Using any of the above sampling methods could result in 70% of the population being from low-income families as this is a matter of chance. Hence, we can agree with the research results.

Using the z-distribution, it is found that since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the children were not randomly selected.

At the null hypothesis, we test if they were really randomly selected, that is, the proportion is of 80%:

[tex]H_0: p = 0.8[/tex]

At the alternative hypothesis, we test if they were not randomly selected, that is, the proportion is of less than 80%.

[tex]H_1: p < 0.8[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are:

[tex]p = 0.8, n = 150, \overline{p} = 0.7[/tex]

Then, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.7 - 0.8}{\sqrt{\frac{0.8(0.2)}{150}}}[/tex]

[tex]z = -3.06[/tex]

The critical value for a left-tailed test, as we are testing if the proportion is less than a value, with a significance level of 0.05, is of [tex]z^{\ast} = -1.645[/tex].

Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the children were not randomly selected.

A similar problem is given at https://brainly.com/question/24166849

Answer:

420

Step-by-step explanation:

Multiply length, times width, times height to get your answer.

7 times 12 times 5=420

Answer:

234 Square Inches

Step by Step Explanation:

To find the area of a parallelogram, we must first find the height. In this case, it is 18. Then, we must find the base. In this case, it is 13. Then, we multiply base x height for our final answer of 234.

Base - 13

Height - 18

18 x 13 = 234.

Easy enough?

Answer:

Adults=155, children = 196

Step-by-step explanation: