The reward-to-variability ratio of the best feasible is 0.4221 that is option a.
The proportion of stocks invested in the optimal risky portfolio can be calculated with the use of following formula:
Portfolio Invested in the Stock = [(Expected Return of the Stock - Risk Free Rate)*(Standard Deviation of Bond)^2 - (Expected Return of the Bond - Risk Free Rate)*Covariance between Bond and Stock]/[(Expected Return of the Stock - Risk Free Rate)*(Standard Deviation of Bond)^2 + (Expected Return of the Bond - Risk Free Rate)*(Standard Deviation of Stock)^2 - (Expected Return of Stock - Risk Free Rate + Expected Return of Bond - Risk Free Rate)]*Covariance between Bond and Stock
Portfolio Invested in Bond = 1 - Portfolio Invested in the Stock
Here, Risk Free Rate = 4 and Covariance = 32*24*.1250 = 96
Using these values and other information provided in the question, we get,
Portfolio Invested in the Stock = [(10 - 4)*(24)^2 - (7 - 4)*96]/(10 - 4)*(24)^2 + (7 - 4)*(32)^2 - [(10 - 4 + 7 - 4)]*96 = .5593
Portfolio Invested in Bond = 1-.5593 = .4407
Step 2: Calculate Expected Return and Standard Deviation of the Optimal Risky Portfolio
Expected Return = Portfolio Invested in Stock*Expected Return of Stock Portfolio Invested in Bond*Expected Return of Bond = .5593*10% + .4407*7% = 8.68%
Standard Deviation = [(Portfolio Invested in Stock)^2*(Standard Deviation of Stock)^2 + (Portfolio Invested in Bond)^2*(Standard Deviation of Bond)^2 + 2*(Portfolio Invested in Stock)*(Portfolio Invested in Bond)]^(1/2) = [(.5593)^2*(32)^2 + (.4407)^2*(24)^2 + 2*(.5593)*(.4407)*(96)]^(1/2) = 21.90%
Step 3: Calculate Reward-to-Volatility Ratio
The reward-to-volatility ratio can be calculated with the use of following formula:
Reward-to-Volatility Ratio = (Expected Return of the Portfolio - Risk Free Rate)/Standard Deviation of Portfolio = (8.68 - 4)/21.90 = .4221
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my last one got deleted but whats 10x5 i dont actually but u get it
how are you doing today??? i hope ur doing well !!!!!!! next question i need help with is 40+120 thanks
Answer:
50 and 160
Step-by-step explanation:
good
Answer/Step-by-step explanation:
10 x 5 = 50
10 x 5 is the same as Ten 5's or Five 10's
5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = 50
10+10+10+10+10=50
Thurs, 10 x 5 = 50
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
40 + 120 =160
120
+ 40 < 20 + 40 = 60>
--------- < 100 + 60 > = 160
160
[RevyBreeze]
( Will give Brainliest)
Answer:
the answer is 10
Step-by-step explanation:
Answer:
\(\Large \boxed{\sf 10}\)
Step-by-step explanation:
Substitute the given values in the formula
\(\displaystyle \frac{192}{375} =(\frac{8}{x} )^3\)
Solve for x (missing value)
\(\displaystyle \frac{192}{375} =\frac{512}{x^3}\)
\(\displaystyle x=\sqrt[3]{\frac{512 \times 375}{192} }=10\)
How can we write the domain and range for a function that is not piece-wise such as
y=x?
Can someone help me!!!
What is the value of x in the triangle?
A: 289
B: 17
C: 15
D: 14.2
Anybody good in geometry and know the answer? Free Brainliest and point !!
Answer:
5,8
Step-by-step explanation:
since C is on y coordinate 8 if its a reflection C' will be as well and C is on x coordinate -5 so if its a reflection then C' will be 5 so 5,8
Answer:
(5,8)
Step-by-step explanation:
one way I like to do it is a) count how many squares C is away from the axis, which is 5, and then staring at the Y-axis count five spaces to the right, or b) which might be a little more time consuming, do where the original D is and see how many spaces up and across C is from D, which is up two and right 5. So then go to the new one, and go up two and instead of going right five, count five to the left because it's reflected. Hope that made sense and helped! If not please let me know and i'll try to explain further.
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer:
I think the awnser should be A
Find anequation for the vertical line through the point (-5, -3).
A line is vertical, then all points lie on it have the same x-coordinates
If line L is a vertical line and passes through the point (a, b), then its equation is
\(x=a\)Since the given line is a vertical line and passes through the point (-5, -3)
That means a = -5
Then its equation is
\(x=-5\)what is the slope of the line that passes through the points (5,10) and (11,-12)
Answer:m=-11/3
Step-by-step explanation:
Answer:
-11/3
Step-by-step explanation:
We have two points so we can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( -12-10)/(11 -5)
= -22/6
= -11/3
In two years you are promised $17,000 as a gift. You decided you will then loan that amount at 9.75% for six more years. How much will you have in eight years from today? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 12.34.)
The amount of money that you will have in eight years from today is $29,315.79 (rounded to 2 decimal places).
To find out the amount of money that you will have in eight years, you need to use the future value formula, which is:FV = PV × (1 + r)n
Where, FV = future value
PV = present value (initial investment) r = annual interest rate (as a decimal) n = number of years
First, you need to find the future value of the gift amount of $17,000 in two years.
Since it's a gift and not an investment, we can assume an interest rate of 0%.
Therefore, the future value would simply be:
PV = $17,000r = 0%n = 2 years
FV = $17,000 × (1 + 0%)2FV = $17,000
Now, you will loan that amount at 9.75% interest for six more years.
So, you need to find the future value of $17,000 after 6 years at an annual interest rate of 9.75%.
PV = $17,000
r = 9.75%
n = 6 years
FV = $17,000 × (1 + 9.75%)6
FV = $29,315.79
Therefore, the amount of money that you will have in eight years from today is $29,315.79 (rounded to 2 decimal places).
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The events A and B are mutually exclusive. Suppose P(A) = 0.30 and P(B) = 0.20. a. What is the probability of either A or B occuring? (Round your answer to 2 decimal places.) Probability of either A or B b. What is the probability that neither Anor B will happen? (Round your answer to 2 decimal places.) Probability of neither A nor B
The probability of either A or B occurring is 0.5. The probability that neither A nor B will happen is also 0.5.
It is given that events A and B are mutually exclusive, meaning there is no intersection that is they are independent events. In simple terms, A and B are occurring at different times.
P(A or B) = P(A) + P(B) = 0.30 + 0.20 = 0.50
So the probability of either A or B occurring is 0.5.
Also, the total probability of the event is 1.
So to find the Probability of (neither A nor B):
P complement = 1 - P(A or B) = 1 - 0.50 = 0.50
So a,=0.5 and b,= 0.5
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The Spring Break-Inn Hotel is trying to make plans for the spring break season. They must decide on the number of beds to place in each room in order to maximize profit. They can put 1, 2, or 3 beds in any room and realize a profit of $90, $115, or $180 respectively. They have a total of 200 beds and 100 rooms available. They would like to insure the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1.
The decision variables for this model would be:
Let X1 = the number of 1 bedroom rentals
Let X2 = the number of 2 bedroom rentals
Let X3 = the number of 3 bedroom rentals
What would be the constraint(s) to insure the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1?
X3 <= 4X2
3X3 <= 4X2
X2 <= 4X3
2X2 <= 4X3
None of these
The constraint(s) to ensure that the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1 is:
3X3 <= 4X2
This constraint states that the number of 3 bedroom rentals (X3) must be less than or equal to four times the number of 2 bedroom rentals (X2). This ensures that the ratio of 3 bedroom rentals to 2 bedroom rentals does not exceed 4 to 1.
For example, if there are 10 2 bedroom rentals (X2), the constraint would be:
3X3 <= 4(10)
3X3 <= 40
This means that the number of 3 bedroom rentals (X3) cannot exceed 40.
The constraint to ensure the ratio of 3 bedroom rentals to 2 bedroom rentals is no more than 4 to 1 is 3X3 <= 4X2.
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Don has an album that holds 700 photos . Each page of the album holds 7. If 33% of the album is empty, how many pages are filled with photos?
Alex is playing a game
where he gets 8 points
8
every time his ball hits the
target. He gets an extra 8
points every time his ball
hits the target 8 times in a
row. How many points will
Brady receive if he hits the
target 8 times in a row?
Answer:
72 points
Something important to note is that 8 is the constant,If you can get 8 each time that would be the same as doing 8+8+8...
If he hits it 8 times in a row, that means the constant was being multiplied 8 times, 8+8+8+8+8+8+8+8=64The problem also states that if he hits it 8 times in a row you add 8 more points.
64+8=72
Therefore, the answer is 72There are 72 points Brady receive if he hits the target 8 times in a row.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Alex is playing a game where he gets 8 points 8 every time his ball hits the target.
And, He gets an extra 8 points every time his ball hits the target 8 times in a row.
Hence, Number of points Brady receive if he hits the target 8 times in a row is,
⇒ 8 x 8 + 8
⇒ 64 + 8
⇒ 72
Thus, There are 72 points Brady receive if he hits the target 8 times in a row.
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Hello! Happy Sunday! Got a Math question for you, anyone willing to try? Work and answer please! I think the answer is going to be a decimal. Brainliest and 50 points waiting!
An isosceles triangle has two congruent sides. The base of the triangle is seven inches longer than three times the length of the other two sides. The perimeter of the triangle is 29 inches. Find the length of all three sides.
Please Help! Due tomorrow!
The length of each congruent side of the isosceles triangle is given to be equal 2.75 inches while the base calculated to be equal to 23.5 inches
How to solve for the congruent sidesWe first have to define x as the length of the congruent side. The question tells us that the base is 7 inches longer than 3x the length of 2 sides
This would be represented as:
= 3(2x) + 7
= 6x + 7
The perimeter of the shape is said to be 29, hence we would have
x + x + (6x + 7) = 29
= 2x + 6x + 7 = 29
= 8x = 29 - 7
8x = 22
x = 22 / 8
= 2.75
Given the value of x we would have to put it in
6x + 7
= 6 x 2.75 + 7
= 23.5
Therefore the length of each congruent side of the isosceles triangle is given to be equal 2.75 inches while the base calculated to be equal to 23.5 inches
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A researcher was interested in studying americans email habits. She suspected that americans spend less than 7 hours a week answering their email. The general social survey in 2004 included a question that asked about the number of hours that the respondent spend on email per week. They asked 617 respondents. The sample mean number of hours was 6. 01 and the sample standard deviation was 8. 96. Find the test statistic.
The test statistic for this hypothesis test is approximately -2.748. Americans spend less than 7 hours a week answering their email.
To find the test statistic, we need to perform a hypothesis test to determine if the sample data supports the researcher's suspicion that Americans spend less than 7 hours a week answering their email.
Let's set up the null and alternative hypotheses:
Null hypothesis (H₀): The population mean number of hours Americans spend answering their email per week is 7 or more
Alternative hypothesis (H₁): The population mean number of hours Americans spend answering their email per week is less than 7
Next, we can calculate the test statistic, which is the standardized value that measures the distance between the sample mean and the hypothesized population mean, considering the sample size and variability.
The test statistic formula for a one-sample t-test is given by:
t = (sample mean - hypothesized mean) / (sample standard deviation / √sample size)
Given the information from the study:
Sample mean = 6.01
Sample standard deviation (s) = 8.96
Sample size (n) = 617
Hypothesized mean = 7
Substituting these values into the formula, we get:
t = (6.01 - 7) / (8.96 / √617)
Calculating this expression gives us the test statistic.
t = (-0.99) / (8.96 / √617)
t ≈ -0.99 / (8.96 / 24.81)
t ≈ -0.99 / 0.3602
t ≈ -2.748
Therefore, the test statistic for this hypothesis test is approximately -2.748.
The test statistic provides a measure of how far the sample mean is from the hypothesized mean in terms of standard deviations. In this case, since the test statistic is negative, it suggests that the sample mean is less than the hypothesized mean, supporting the researcher's suspicion that Americans spend less than 7 hours a week answering their email.
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Lola's salary is $40,000 plus a 2% commission on all sales. The rate of change for her salary is a constant rate.
True
False
Answer:
False
Step-by-step explanation:
What is the value of the expression below when y=7?
y2+5y+6
Answer:
90
Step-by-step explanation:
y^2 + 5y + 6 =
(7)^2 + 5(7) + 6 =
49 + 35 + 6 =
84 + 6 =
90
7^2 + 5(7) + 6
49 + 35 + 6
90
An eight grader has 18 coins in her pocket. The coins are all dimes and quarters. Their total value is 2.85. Find how much of each coin is in her pocket.
Answer:
1 dimes and 9 quarters
Step-by-step explanation:
9 quarters = 2.75
1 dime = 10c
all together equals 2.85
Find the probability that a randomly
selected point within the circle falls in the
red-shaded triangle.
24
13
10
13
P = [?]
Enter as a decimal rounded to the nearest hundredth.
Enter
The probability that the random;y selected point will be in the triangle = 0.33
How to solve for the probabilitysolve for area covered by the trangke
The area of the triangle is guven as 1/2 x b * h
b = base
h = height
The base = 10
The height = 24
The area = 1 / 2 x 10 x 24
= 240 / 2
= 120
Then we know that the complte angle of a cirle = 360 degrees
The probability that the random;y selected point will be in the triangle = 120 / 360
= 12 / 36
= 0.33
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Answer.
0.23
find area of triangle =120 then find area of circle= 530.66 then divide area of triangle by area of circle
Uhm just a couple more questions I think
Answer:
The answer 3
Step-by-step explanation:
The answer is 3 because 72 over 36 is 2
And 6 over 3 is also 2
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Please help me ASAP today
The points of solution that are obtained for the system of linear equations 3x + 2y = 11 and -8x - 4y = -20 are (-1,7).
2(3x + 2y = 11)
1(-8x - 4y = -20)
3x + 2y - 8x - 4y = 11 - 20 gives -5x - 2y = -9
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
The system of linear equations are -
3x + 2y = 11....(1)
-8x - 4y = -20....(2)
When solved initially the value of equation is -
3x + 2y - 8x - 4y = 11 - 20
-5x - 2y = -9
Multiply equation (1) by 2 -
2(3x + 2y) = 2 × 11
6x + 4y = 22.....(3)
Simplify the equation (2) and (3) by adding -
-8x - 4y + 6x + 4y = -20 + 22
-2x = 2
x = -1
Substituting the value of x = -1 in equation (1) -
3x + 2y = 11
3(-1) + 2y = 11
Simplifying the equation -
-3 + 2y = 11
2y = 11 + 3
2y = 14
y = 7
Therefore, the final value is obtained as (-1,7).
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Using Benford’s law According to Benford’s law (Exercise 5, page 353), the probability that the firstdigit of the amount of a randomly chosen invoice is an 8 or a 9 is 0.097. Suppose you examine randomly selected invoices from a vendor until you find one whose amount begins with an 8 or a 9.(a) How many invoices do you expect to examine until you get one that begins with an 8 or 9? Justifyyour answer.(b) In fact, you don’t get an amount starting with an 8 or 9 until the 40th invoice. Do you suspectthat the invoice amounts are not genuine? Com-pute an appropriate probability to support youranswer.
Using Benford's law, based on the probability that amount's first digit of a randomly chosen invoice is an 8 or a 9 is 0.097, a) you expect to examine 10.309 invoices until you get one that begins with an 8 or 9. b) If you don't get an amount starting with an 8 or 9 until the 40th invoice, then the probability of this happening is 0.0000124, which is a very low probability, which suggests that the invoice amounts may not be genuine.
According to Benford's law, the given probability that the first digit of the amount of a randomly chosen invoice is an 8 or a 9 is 0.097.
(a) The expected number of invoices to examine until you get one that begins with an 8 or 9 can be calculated using the formula
E(X) = 1/p, where p is the probability of the desired outcome.
In this case, p = 0.097, so E(X) = 1/0.097 = 10.309. Therefore, you can expect to examine about 10 invoices until you get one that begins with an 8 or 9.
(b) If you don't get an amount starting with an 8 or 9 until the 40th invoice, you may suspect that the invoice amounts are not genuine.
To compute an appropriate probability to support your answer, you can use the binomial probability formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successes, and p is the probability of success.
In this case, n = 39, k = 0, and p = 0.097. So, P(X = 0) = (39 choose 0) * 0.097^0 * (1-0.097)^(39-0) = 0.023. This means that the probability of not getting an amount starting with an 8 or 9 in the first 39 invoices is 0.023, which is quite low. This supports the suspicion that the invoice amounts may not be genuine.
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What is the simplified expression for negative 2 a squared b a squared minus 5 a b 3 a b squared minus b squared 2 (a squared b 2 a b)? a squared minus 9 a b 3 a b squared a squared 9 a b minus b squared 3 a b squared 10 a b a squared minus b squared 3 a b squared a squared minus b squared minus a b
The simplified expression for the given expression is "a squared minus b squared minus a b."
To simplify the given expression, let's break it down step by step:
- Negative 2 a squared b a squared: This term remains the same in the simplified expression.
- Minus 5 a b: This term remains the same in the simplified expression.
- 3 a b squared minus b squared: This can be simplified as (3 a b squared) - (b squared) = 3 a b squared - b squared.
- 2 (a squared b 2 a b): This can be simplified as 2 (a squared b) - 2 (a b) = 2 a squared b - 2 a b.
Now, combining all the simplified terms, we have:
-2 a squared b a squared - 5 a b + 3 a b squared - b squared + 2 a squared b - 2 a b
Simplifying further, we can group like terms:
-2 a squared b + 2 a squared b - 5 a b - 2 a b + 3 a b squared - b squared
Combining like terms, we get:
0 - 7 a b + 3 a b squared - b squared
Finally, rearranging the terms in decreasing order of degree, we have:
- b squared + 3 a b squared - 7 a b
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what is 244 + 6
pls give me relevent answer
Answer: 1
4
244+6=300 [its a simple addition right?] 3
brainliest? J
E
N
<3 :)
What technologies are necessary to implement and or support the use of blockchain technology?
Combining three popular technologies, blockchain: keys for cryptography. a network of peers that uses a shared ledger. a method of computation for storing exchanges and records.
Blockchain technology sets itself apart from conventional networks by offering transparency and integrity.
Integrity: When a user retrieves data from a network, he or she may be sure that the data is accurate and unaffected.
Transparency: Every user on the network may confirm any modifications made to the blockchain technology.
The read, write, create, and update operations to databases are provided by the traditional network, however the blockchain technology only enables users to attach the structure and already stored data cannot be changed.
When a new transaction is created, the blockchain makes sure to record it and perform transaction validation.
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What is 4.75 in standard form?
Answer:
0.00475
Step-by-step explanation:
To prepare for a bake-Off, Sebastian used 830 grams of flour each day for 4 weeks. How many kilograms did Sebastian use in those 4 weeks?
1 q = 0.001 kg
If 830 grams = 1 day.
23.24 kilograms = 4 weeks.
23.24 kilograms were used by Sebastian in those 4 weeks.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example: 3x = 4 is an equation.
We have,
830 grams is used each day.
830 grams = 1 day ___(1)
1 week = 7 days
Multiply 4 on both sides.
4 weeks = 28 days ___(2)
From (1) and (2) we get,
4 weeks = 28 days
4 weeks = 28 x 1 day
4 weeks = 28 x 830 grams
4 weeks = 23240 grams ____(3)
1000 grams = 1 kg
Multiply both sides by 23240/1000.
23240 grams = 23.24 kilograms _____(4)
From (3) and 94) we get,
4 weeks = 23.24 kilograms
Thus,
23.24 kilograms were used by Sebastian in those 4 weeks.
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what's the most likely slope
Answer:
Undefined.
Step-by-step explanation:
Slope is the Rise/Run of a straight line. Run is the change in the value of y for a change in x. The graph shows all values are possible for y even when there is zero change in x. All Values/0 = Undefined.
a wooden artifact from an ancient temple has a 14c activity of 38.0 counts per minute as compared with an activity of 58.2 counts per minute for a standard at zero age. the half-life of 14c is 5715 years. what is the age of the artifact?
The age of the artifact is 3523.77 years.
What is radioactive decay?
The process of radioactive decay is how an unstable atomic nucleus loses energy through radiation. A substance that has unstable nuclei is regarded as radioactive.
Here,
The half-life of the reaction is defined as the time required by a substance to reach half its initial concentration. It is represented by t(1/2)
All radioactive decay processes follow the first-order reaction.
The equation for the half-life for first-order reaction follows:
t(1/2) = 0.693/k....(1)
where,
k = rate constant of a first-order reaction
Given value:
t(1/2) = 5715 years
Put the value of t in equation (1), and we get
k = 0.693/5715
k = 1.21×10⁻⁴yr
The integrated rate law expression for first-order reaction follows:
t = 2.303/k×㏒(a/(a-x))
where,
t = time period
a = initial concentration of the reactant = 58.2 counts per minute
(a-x) = Concentration of reactant left after time t = 38.0 counts per minute
k = rate constant of a first-order reaction
Put the values in the equation and we get
t = 2.303/1.21×10⁻⁴㏒58.2/38
t = 3523.77 years.
Hence, the age of the artifact is 3523.77 years.
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