Suppose you have $16,000 to invest in three stocks, A, B, and C. Stock A is a low-risk stock that has expected returns of 4%. Stock B is a medium-risk stock that has expected returns of 5%. Stock C is a high-risk stock that has expected returns of 6%. You want to invest at least $1,000 in each stock. To balance the risks, you decide to invest no more than $7,000 in stock C and to limit the amount invested in C to less than 4 times the amount invested in stock A. You also decide to invest less than twice as much in stock B as in stock A. How much should you invest in each stock to maximize your expected profit?

Answers

Answer 1

Answer:

Stock A: 1

Stock B: 1 and 2

Stock C: 1,7,4


Related Questions

A researcher is interested in estimating the average salary of police officers in a large city. She wants to be 99% confident that her estimate is correct. If the standard deviation is $1050, how large a sample is needed to get the desired information and to be accurate within $200?

Answers

Given:
σ = $1050, ppulatin standard deviation
99% confidence interval
Accuracy = +/- $200

The accuracy is given by
z*(σ/√n)
where
z* = 2.576 for 99% confidence level (from tables)
n = sample size

Therefore
2.576(1050/√n) = 200
√n = (2.576*1050)/200 = 13.524
n = 182.9

Answer: The sample size is 183

The price of an item has been reduced by 80%. The original price was $45. What is the price of the item now?

Answers

%change=100(final-initial)/initial, so we can say:

100(final-45)/45=-80  multiply both sides by 45

100(final-45)=-3600  divide both sides by 100

final-45=-36  add 45 to both sides

final=9

So the price of the item now is $9.

Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have?

6 ounces
12 ounces
18 ounces
27 ounces

Answers

Answer:

The answer is C. 18 ounces

Step-by-step explanation:


Answer:

c on egde

Step-by-step explanation:

A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole.

What is the height of the pole? Round to the nearest hundredth.
12.00 feet
19.60 feet
24.17 feet
38.40 feet

Answers

Solution:

Length of wire = 22 feet =AB

Distance between the point where wire is attached to the ground from the point on the ground where pole is fixed= 10 feet=OB

In Right Δ O A B

By Using pythagoras theorem

O A²  + OB² = AB²

O A² +10²= 22²

O A²= 484 - 100

O A²= 384

O A= √384= 19.60 (Approximately)

So, the height of pole to nearest hundredth = 19.60 feet  


The height of the pole is 19.60 ft

The situation forms a right angle triangle.

Right angle triangle

Right angle triangle have one of its sides as 90 degree.

The length of the wire is the hypotenuse of the triangle formed.

The distance of the wire attached to the ground to the base of the pole is the adjacent side of the triangle.

The height of the pole can be found using Pythagoras theorem.

c² = a² + b²

22² - 10² = b²

b² = 484 - 100

b = √384

b = 19.5959179423

b = 19.60 ft

learn more on right triangle here: https://brainly.com/question/12553755

1/5 [4(x+2)-(3-x)]=4

Answers

3
Hope you wanted this answer ^.^  

what is the square root of 56x^7

Answers

the value of the square root is 8 because 7 times 8 equals 56
8 is the answer your welcome

Which list has the numbers in order from least to greatest

Answers

B is the correct answer.

Is 7/2 the same thing as 3.5

Answers

Yes because 7/2 is 3.5. So you are correct.
yes
3.5 as a fraction is 7/2 but in mixed numbers it's 3 1/2

What is the value of x?

Answers

x+(4x-20)=180
=>5x-20=180
=>5x=200
=>x=40

x/9=4/y=y/36 solve for x

Answers

This is not possible, unless x = 1.

Plzzz help me with part A ,B and C

Answers

A) yes they are similar since  both use the same angle P, the angle of line PQ is the same as PA and they are both right triangles.

B) Line AB corresponds to QR - they are both the base of their triangles.

C) Angle A corresponds to angle Q. Q is the lower left angle in triangle PQR and angle A is the lower left angle in triangle PAB and are the same degree

What does interior angle A of the polygon in the figure equal? A. 110 B. 150 C. 230 D. 100

Answers

Sum of Interior Angles with n = 6
(n-2) × 180° = 4 x 180 = 720

A = 720 - (50+100-120-110 - 230)
A = 110

answer is A. 110

a student scores 71 out of 100 on a test, if the maximum score on the tests is also 100, what score does the student need to maintain at least an average of 78?

Answers

(71+x)/2=78
71+x=156
x=85

Th student needs to score a min of 85

Which best describes the range of the function f(x) = 2(1/4) after it has been reflected over the y-axis? all real numbers all real numbers less than 0 all real numbers greater than 0 all real numbers less than or equal to 0

Answers

your answer should be C 
all numbers greater than 0

Answer:

All real numbers greater than 0.

Step-by-step explanation:

We have the function, [tex]f(x) = 2(\frac{1}{4})^{x}[/tex].

'Reflection over y-axis means to flip the graph over y-axis', which changes the function by f(x) becomes f(-x).

So, after reflection, the given function transforms into,

[tex]g(x)=f(-x)[/tex]

i.e. [tex]g(x)=2(\frac{1}{4})^{-x}[/tex]

According to the graph of the function g(x), we see that,

Range of [tex]g(x)=2(\frac{1}{4})^{-x}[/tex] is the 'Set of all real non-negative numbers' i.e. {x | x > 0} i.e. [tex](0,\infty)[/tex]

is √2/3 a rational or irrational

Answers

sqrt(2/3) = 0.816496

since it is a decimal with no repeating numbers it would be irrational

Irrational because you would get a decimal

A juice company did a survey among 100 customers to find their juice preferences. The customers were asked about their preferences for apple or orange juices. Out of the total 35 people who liked apple juice, eight liked orange juice also. There were 20 people who liked orange juice. Part A: Summarize the data by writing the values that the alphabets A to I in the table below represent. (5 points) Like apple juice Do not like apple juice Total Like orange juice A B C Do not like orange juice D E F Total G H I Part B: What percentage of the total people did not like either apple or orange juice? (3 points) Part C: Do the people surveyed have more dislike for apple juice than orange juice? Justify your answer. (2 points)A juice company did a survey among 100 customers to find their juice preferences. The customers were asked about their preferences for apple or orange juices. Out of the total 35 people who liked apple juice, eight liked orange juice also. There were 20 people who liked orange juice. Part A: Summarize the data by writing the values that the alphabets A to I in the table below represent. (5 points) Like apple juice Do not like apple juice Total Like orange juice A B C Do not like orange juice D E F Total G H I Part B: What percentage of the total people did not like either apple or orange juice? (3 points) Part C: Do the people surveyed have more dislike for apple juice than orange juice? Justify your answer. (2 points)

Answers

Seeming how it's just text and I can't determine what part A is talking about I'll make a new table.

Part A:(This table is a three by three table, with the first top two sections being liked apple juice and didn't like apple juice, and the first left two sections being liked orange juice and didn't like orange juice. The end sections are totals.)


         AJ   No  TotalOJ    8     20   28
No    27   45   72
Total 35   55   100

Part B:
(What percentage of the total people did not like either apple or orange juice?)

25 people did not like either apple or orange juice so 25/100 is 25%.

Part C:(Do the people surveyed have more dislike for apple juice than orange juice? Justify your answer.)

There were a total of 28 people that liked orange juice against a total of 35 people that liked apple juice, so it is safe to say that out of the 100 surveyed there was more dislike for orange juice than apple juice.

Answer:

Part A: A = 8

B = 20

C = 28

D = 35  

E = 37

F = 72

G = 43

H = 57

I = 200

Part B: 18.5%

Part C:

D = People who do not like Orange Juice

B = People who do not like Apple Juice

I use the values of B and D because these are the values that represent dislike for that juice, and also because adding them together creates a value for not liking either juice.

D = 35

B = 20

So there is a greater dislike for Orange Juice.

Step-by-step explanation:

What is 2.33 written as a mixed number in simplest form?

Answers

2.33.......ok, 2 is ur whole number....33 is ur fraction...the last digit is in the hundredths place....so put it over 100

ur mixed number is 2 33/100...and this does not reduce
233/100..this is already is a simpler form

The number 6√3 is between what two integers and is closer to which integer on the number line.

Between 6 & 7 & is closer to 6
Between 10 & 11 & is closer to 10
Between 6 & 7 & is closer to 7
Between 63 & 64 & is closer to 63

Answers

Between 6&7 is closer to 10

Answer: integer on the number line. Between 6 & 7 & is closer to 6 Between 10 & 11 & is closer to 10 Between 6 & 7 & is closer to 7 Between 63 & 64 & is closer to 63.

Step-by-step explanation:

the length of a rectangle is 3 centimeters greater than its width the perimeter is 24 cm what are the dimensions of the rectangle

Answers

the width is nine and and the length is 3

If f(x)=2x-4, find f(q+1)
please show your work!

Answers

[tex]f(q+1)=2(q+1)-4=2q+2-4=2q-2[/tex]

If the function f(x) = 2x-4, the function f(q + 1) = 2q - 2

What is a function?

A function is a mathematical equation that shows the relationship between two variables.

Since if f(x)=2x-4, to find f(q+1), we proceed as follows.

Since we have the function  f(x) = 2x - 4, and we want to find f(q + 1). To find the function f(q + 1), we substitute x = q + 1 into the equation. so, we have that

f(x) = 2x - 4

When x = q + 1, we have that

f(x) = 2x - 4

f(q + 1) = 2(q + 1) - 4

Expanding the brackets, we have that

f(q + 1) = 2q + 2 - 4

= 2q - 2

So, f(q + 1) = 2q - 2

Learn more about function here:

https://brainly.com/question/29631554

#SPJ3

which expression is equivalent to 6a + 12

6(a+6)
3(3a+9)
6(a+9)
2(3a+6)

Answers

2(3a+6) because 2x3a=6a 2x6 is 12
6a + 12....factor out the 6
6(a + 2) ...not an answer choice
OR 
6a + 12....factor out 3
3(2a + 4) ...not an answer choice
OR
6a + 12....factor out 2
2(3a + 6) <==== this one

ANSWER FOR 15 POINTS!!

Which number(s) below belong to the solution set of the inequality? Check all that apply. (Meaning tell me all the ones that apply.)
x + 16 > 51
A. 16
B. 35
C. 80
D. 38
E. 55
F. 34

Answers

The answer is B,C,D and E.
solv

x+16>51
minus 16 both sides
x>35


so any number greater than 35 will work

A doesn't work
B doesn't work
C works
D works
E works
E works
F doesn't work


answers are C,D, E

The lines y = 2x + 1 and y = -5x - 6 intersect at?

Answers

They will intersect at (-1, 1)
2x+1=-5x-6    x=-1   put x into equation  for example  y=2*(-1)   y=-2   
so intersect at (-1,-2)

A person in the audience of a game show has a 12% chance of winning free movie tickets. What is the chance that a person in the audience does not win free movie tickets? 24% 38% 72% 88%

Answers

It is 88% because 100% - 12% = 88%
the chance of a person not winning a free movie ticket is 88%

Which statement is true about the solutions for the equation 3y + 4 = −2?

It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.

Answers

I believe that the answer is B. If y=-2, 3(-2)+4=-2. 3(-2)=-6+4=-2

Answer:

B, One solution

Step-by-step explanation:

a polynomial of degree zero is constant term. true or false

Answers

The answer is true for a polynomial of degree zero

The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 2 units, the value of k is ________. Numerical Answers Expected!

Answers

Answer: The value of k is 2.


Step-by-step explanation:

Given : The graph of [tex]f(x)=(0.5)x[/tex] is replaced by the graph of [tex]g(x)=0.5)x-k.[/tex]

If g(x) is obtained by shifting f(x) down by 2 units, then [tex]g(x)=(0.5)-2[/tex]

[since f(x)shifted down down by 2 , so only the value of dependent variable effect]

When we compare both functions of g(x), we found that k=2.

Hence, the value of k is 2.

The value of [tex]k[/tex] is 2.

The following information should be considered:

when [tex]g(x)[/tex] is obtained by shifting f(x) fall by 2 units so [tex]g(x) = (0.5) - 2.[/tex]Since [tex]f(x)[/tex] shifted down by 2 so there is the effect on the dependent variable. Now at the time of comparing both functions of g(x) the k should be 2.

Learn more: brainly.com/question/17429689

classify the following triangle . check all that apply

Answers

One of the angles is more than 90 degrees  ⇒  Obtuse

Two equal sides  ⇒ Isosceles

Answer:

Option (a) and (d) is correct.

The given triangle is obtuse and isosceles.

Step-by-step explanation:

Given : A triangle with measure of one angle is 120° and two legs of the triangle are given equal in length.

We will have to choose the correct classification for the given triangle.

For a triangle if the measure of one the angles is

1) less than 90 then it is acute triangle ,

2) equal to 90 then right triangle

3) greater to 90 then obtuse triangle

Since the measure  of one angle of the triangle is 120° > 90° Thus, the given triangle is obtuse.

For a triangle if all the three sides are equal then it is equilateral triangle, if two sides are equal then it is isosceles and if no side is equal then it is scalene.

Since, for the given triangle, the two legs of the triangle are given equal in length so it is an isosceles triangle.

Thus, the given triangle is obtuse and isosceles.

answer both questions to get brain ( if u cant see all the answers its fine all u need is the question)

Answers

Answer:

a and c

Step-by-step explanation:

How many times does 6 go into 22

Answers

Your Answer Is...

3.

Why?

6 X 3 = 18.

Glad I Could Help, And Good Luck!

My Brainly Name: AnonymousGiantsFan
Hey!

We can use long division to solve this,
Let's write it.
[tex]6\overline{|\smallspace22}\space\space\space\space[/tex]
Then, divide [tex]22[/tex] by [tex]6[/tex] to get [tex]3[/tex].
[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace3\space\space\space\space\space\space\space\space\space\space\space\space\\ 6\overline{|\smallspace22}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
Multiply the quotient by the divisor...
[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace3\space\space\space\space\space\space\space\space\space\space\space\space\\ 6\overline{|\smallspace22}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace8}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
Subtract [tex]18[/tex] from [tex]22[/tex].
[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace3\space\space\space\space\space\space\space\space\space\space\space\space\\ 6\overline{|\smallspace22}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\underline{\emptyspace1\emptyspace8}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\emptyspace4\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}[/tex]
As you can see, our answer using long division would be 3 with a remainder of 4. 

Thanks!
-TetraFish
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