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? Complete the constraints.
Answer:
Stock A: 1
Stock B: 1 and y=2
Stock C: 1, 7, 4
To maximize expected profit, you need to determine the amount to invest in stocks A, B, and C while considering the given constraints.
Explanation:To invest in each stock to maximize expected profit, we need to determine the amount to invest in stocks A, B, and C while considering the given constraints.
Let's denote the amount invested in stock A as x, in stock B as y, and in stock C as z.
The constraints are as follows:
At least $1,000 should be invested in each stock: x > $1,000, y > $1,000, z > $1,000No more than $7,000 should be invested in stock C: z < $7,000The amount invested in C should be less than 4 times the amount invested in A: z < 4xThe amount invested in B should be less than twice the amount invested in A: y < 2xTo maximize expected profit, we need to maximize the sum of the expected returns from each stock:
Expected profit = 0.04x + 0.05y + 0.06z
By solving the constraints and optimizing the expected profit function, we can find the optimal values for x, y, and z.
PLEASE HELP AND FAST, 15 POINTS! In the coordinate plane shown, how far apart are points B and D? Explain how you can use the Pythagorean theorem to determine this.
Which of the following sequences is not arithmetic?
a.1, 2, 3, 4, ...
b.2, 4, 6, 8, ...
c.0, -2, -4, -6, ...
d.1, 4, 9, 16, ...
Answer:
1, 4, 9, 16, ...
Step-by-step explanation:
What is the coefficient of y in the expression 3 ⋅ 6 + 4y?
Answer:
Sorry I'm late, but I think the answer is D.
Step-by-step explanation:
Which characteristics best describe an obtuse isosceles triangle? I. One angle is greater than 90°. II. All side lengths are equal. III. Two sides meet at a 90° angle. IV. Two sides are equal in length. A. I and IV B. II and III C. I and II D. III and IV
An obtuse isosceles triangle is defined as a three-sides triangle shape that has one angle (out of three angles) more than 90 degrees and whose two sides are always congruent that includes obtuse angle in between. So it will follow :-
⇒ Obtuse means "one angle is greater than 90 degrees".
⇒ Isosceles means "Two sides are equal in length".
So, option A is correct, i.e. statements I and IV.
The area of this rectangle is 5x2. What does the coefficient 5 mean in terms of the problem?
Answer: The length is 5 times the width
Step-by-step explanation:
Given: The area of rectangle = [tex]5x^2=(5x)(x)[/tex]
Here x must be a positive real number since it can not be negative.
Also for area of rectangle =[tex]length \times width[/tex]
And length is always greater than width of rectangle, therefore in the given expression 'x' must be width and '5x' must be length of rectangle .
[∵ for every positive x , 5x>x]
Hence, the coefficient 5 means the length is 5 times the width.
can somebody help me please this is my last question i need to submit this!! help!!
Help with all of them please
What is the solution of x+8/5x-1>0 ?
Answer:
Step-by-step explanation:
Solve the Systems of equations algebraically
4x+5y=15
-4x+6y+7
Answers
A- (5/4, 2)
B- (2, 5/4)
C- (4/5,2)
D (2, 4/5)
Find the difference. express your answer in simplest form. (2s/s^2-4s+4) - (4/s^2-4s+4)
I need help on these problems
what equation results from completing the square and then factoring.
I need help ASAP
The figure of a rocket launched for space exploration is shown below.
Find the volume of the rocket to the nearest hundredth.
A) 90.36 cubic meters
B) 98.91 cubic meters
C) 80.07 cubic meters
Eli, Freda and Geoff were given £800 to share in the ratio of their ages.
Eli is 9 years old,Feda is 13 years old and Geoff is 18 years old.
How much should they each get?
Eli-
Freda-
Geoff-
Final answer:
Calculate how £800 should be divided among Eli, Freda, and Geoff based on their ages.
Explanation:
Ratio of ages: 9:13:18 = 9/40 : 13/40 : 18/40
Total amount: £800
Eli: £200
Freda: £290
Geoff: £410
watts,volts and amps are used to measure electricity. there is a formula that shows the relationship between watts,volts and amps. volts times amps = watts . if the volts are 120 and the amps are 5 how many watts are there?
The number of watts for a circuit with 120 volts and 5 amps is 600 watts.
Explanation:The formula for calculating the power in an electrical circuit is: Power (P) = Voltage (V) × Current (I).
To calculate the number of watts, we can substitute the given values into the formula:
Volts (V) = 120
Amps (I) = 5
Therefore, the number of watts (P) = 120 V × 5 A = 600 W.
according to the graph what is the value of the constant in the equation below rewritten in
Answer:
The answer to this is B. 80
A spinner is spun 300 times and stops on C 95 times. Calculate the experimental probability of the spinner stopping on C.
Answer:
19/60
Step-by-step explanation:
Cindy's job is to check computer printers for defects. Out of 420 printers she has to check, only 3 of the first 84 have been defective. What is the best prediction of the total numbers of printers in this group that will be defective?
four times the sum of a number and 2/3 is 16/3. find the number. express your answer as a fraction in simplest form
Part 1: Solve the system by graphing. Draw the graphs on paper and indicate their intersection point. Type the ordered pair solution here as your answer to Part 1.
Part 2: Solve the system using the substitution method. Show all work here and indicate the solution for the system as an ordered pair.
Part 3: Solve the system using the addition method. Show all work here and indicate the solution for the system as an ordered pair.
2x+3y=6
x-2y=10
What is the output value for the following function if the input value is 3.2?
y = 2x - 1
1
2
4.2
5.4
The given function is y = 2x -1 which is of the form of a straight line with the form y = mx + c
now, we have been given that the value of x is 3.2 as it says input value is 3.2
we plug in x =3.2 in the equation
y = 2x -1
y = 2*3.2 -1
y = 6.4 -1
y = 5.4
So the value of y we get is 5.4
Answer = 5.4 (option D)
Help with question 12 please
what's the answer to this?
The measure of the side length of the right triangle is 20.
What is the measure of the missing side length?A tangent makes an angle of 90 degrees with the radius of a circle.
Therefore, the triangle formed is a right triangle.
From the diagram:
Leg 1 = 12
Leg 2 = 16
Hypotenuse =?
To find the hypotenuse, we use the Pythagoras theorem:
(Hypotenuse)² = ( Leg 1 )² + ( Leg 2 )²
(Hypotenuse)² = ( 12 )² + ( 16 )²
(Hypotenuse)² = 144 + 256
(Hypotenuse)² = 400
Take the square roots of both sides:
Hypotenuse = √400
Hypotenuse = 20
Therefore, the side length measures 20 units.
Option C) 20 is the correct answer.
The complete question is:
Find the missing line segment in the diagram.
Learn more about Pythagorean theorem here: brainly.com/question/343682
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which values are outliers ?
5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9
select all correct answers
Answer:
0.8 and 1.1 are outliers of the given data set.
Step-by-step explanation:
The given data set is
5.8, 6.1, 4.9, 10.9, 0.8, 6.1, 7.4, 10.2, 1.1, 5.2, 5.9
Arrange the data set in ascending order
0.8, 1.1, 4.9, 5.2, 5.8, 5.9, 6.1, 6.1, 7.4, 10.2, 10.9
Divide the data in four equal parts.
(0.8, 1.1), 4.9,( 5.2, 5.8), 5.9,( 6.1, 6.1), 7.4, (10.2, 10.9)
From the above division we get,
[tex]Q_1=4.9[/tex]
[tex]Median=5.9[/tex]
[tex]Q_3=7.4[/tex]
The interquartile range of the data is
[tex]IQR=Q_3-Q_1[/tex]
[tex]IQR=7.4-4.9=2.5[/tex]
If all the data elements lies in the interval [Q₁-1.5(IQR),Q_3+1.5(IQR)], then the data set has no outliers.
[tex][Q_1-1.5(IQR),Q_3-1.5(IQR)]=[4.9-1.5(2.5),7.4-1.5(2.5)]=[1.15,11.15][/tex]
Since all the elements lie in the interval [1.15,11.15] except 0.8 and 1.1, therefore 0.8 and 1.1 are outliers.
help me? Answers por favor ?
I need help with the first three please!!!
the initial number of bacteria in a culture is 12,000. the xulture doubles each day write an exponential functin to model the population Y of bacteria after X days
Answer:
[tex]Y = 12,000 \cdot (2)^X[/tex]
Step-by-step explanation:
The exponential function is given by:
[tex]y =a \cdot b^x[/tex]
where,
a is the initial values and b is the growth factor.
As per the statement:
The initial number of bacteria in a culture is 12,000.
⇒Number of bacteria initially(a) = 12,000
It is also given that the culture doubles each day.
⇒ growth factor [tex]b= 2[/tex]
We have to find the exponential function to model the population Y of bacteria after X days.
By definition of exponential function:
[tex]Y = 12,000 \cdot (2)^X[/tex]
where, x represents the days and Y is the population after X days.
Therefore, an exponential function to model the population is,
[tex]Y = 12,000 \cdot (2)^X[/tex]
which recursive formula can be used to reresent the sequence 2,6,10,14,18
1. a = 0
1
a = a + 4
n n-1
2. a = 2
1
a = a +4
n-1 n
3. a = 2
1
a = a -4
n n-1
4. a = 2
1
a = a +4
n n-1
Answer:
[tex] 4.\\\left\{\begin{array}{ccc}a_1=2\\a_n=a_{n-1}+4\end{array}\right\\\\check\\\\a_2=a_1+4\to a_2=2+4=6\\\\a_3=a_2+4\to a_3=6+4=10\\\\a_4=a_3+4\to a_4=10+4=14\\\\a_5=a_4+4\to a_5=14+4=18 [/tex]
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