The weighted mean of the RORs for each portfolio, from best to worst, is:
Portfolio 3: 4.36%
Portfolio 2: 3.2%
Portfolio 1: 0.94%
To calculate the weighted mean of the RORs for each portfolio, we need to multiply each rate of return by its corresponding portfolio value, sum the results, and divide by the total value of the portfolios:
Weighted Mean ROR = sum of value / total amount
sum of value = portfolio value x rate of return
For Portfolio 1:
(0.089 x 850) + (-0.051 x 2425) + (0.124 x 280) + (0.042 x 1400) + (0.009 x 2330)
Sum of value = 75.65 - 123.68 + 34.72 + 58.8 + 20.97
= 61.46.
Weighted Mean ROR = 61.46 / (850 + 2425 + 280 + 1400 + 2330)
= 61.46 / 7285
= 0.0094 or 0.94% (third)
For Portfolio 2:
(0.089 x 1050) + (-0.051 x 1950) + (0.124 x 1295) + (0.042 x 745) + (0.009 x 1050)
Sum of value = 93.45 - 99.45 + 160.58 + 31.29 + 9.45
= 195.32.
Weighted Mean ROR = 195.32 / (1050 + 1950 + 1295 + 745 + 1050)
= 195.32 / 6090
= 0.032 or 3.2% (second)
For Portfolio 3:
(0.089 x 1175) + (-0.051 x 550) + (0.124 x 860) + (0.042 x 550) + (0.009 x 2000)
Sum of value = 104.58 - 28.05 + 106.64 + 23.1 + 18
= 224.27.
Weighted Mean ROR = 224.27 / (1175 + 550 + 860 + 550 + 2000)
= 224.27 / 5,135
= 0.0436 or 4.36% (first)
To compare the overall performance of the portfolios, we can rank them based on their weighted mean RORs, from highest to lowest:
Portfolio 3: 4.36%
Portfolio 2: 3.2%
Portfolio 1: 0.94%
Therefore, the overall performance of the portfolios, from best to worst, is Portfolio 3, Portfolio 2, and Portfolio 1.
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for a certain population. what percentage of democrats are aged between 35 and 55? if it is not possible to tell from the table, say so.
The table does not provide enough information to determine the percentage of Democrats aged between 35 and 55.
The table presents conditional distributions of political party affiliation for each age group but lacks the joint distribution. To calculate the percentage of Democrats aged between 35 and 55, we need the joint distribution of age and political party affiliation.
The table only provides conditional probabilities, which describe the probability of being a Democrat within each age group. Without knowing the overall distribution of age groups or the correlation between age and party affiliation, we cannot accurately determine the specific percentage of Democrats aged between 35 and 55 from the given information.
Therefore, it is not possible to calculate the desired percentage using the provided table alone.
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Complete Question:
Provide an appropriate response The table below shows the conditional distributions of the variable political party affliation corresponding to each age group for a certain population.What percentage of Democrats are aged between 35 and 55?If it is not possible to tell from the table,say so Age Group 18-34 35-55 Over55 Total Democrat 0.45 0.46 0.43 0.447 Party Republican 0.40 0.44 0.49 0.443 Other 015 0.10 0.08 011 [Total 10 10 10 10 OIt is not possible to tell from this table. 44.7% 34% 46%.
The point $(p,9)$ lies on line $k$ shown here. What is the value of $p$?
Answer:
(10,9) P=10
Step-by-step explanation:
find the slope first: y2-y1/x2-x1=(3-1)/1-(-2)=2/3
y=2/3x+b
find b:
3=2/3(1)+b
b=3-2/3
b=7/3
now we find P
(p,9) input the y in the equation
y=2/3 x+7/3
9=2/3x+7/3
9-7/3=2/3x
x=10
Simplify the following algebraic fraction. Write the answer with positive exponents. v-3-w -W V+W Select one: V+w O a. v3w "(v3-14 V+W Ob. VW O c. w4_13 vw (v+w) O d. 1 3** 4 O e. v4+w
The simplified form of the algebraic fraction (v^-3 - w)/(w(v + w)) is (v^4 + w).
To simplify the fraction, we start by multiplying both the numerator and the denominator by v^3 to eliminate the negative exponent in the numerator: (v^-3 - w)(v^3)/(w(v + w))(v^3) This simplifies to: 1 - wv^3/(w(v + w))(v^3)
Next, we cancel out the common factors in the numerator and denominator: 1/(v + w) Finally, we simplify further by multiplying the numerator and denominator by v^4: v^4/(v + w) Therefore, the simplified form of the algebraic fraction is v^4 + w.
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Pls help me find this answer
Open the picture for the question
Show the working
The division yields 1/14 for the complex fraction.
What is division?Division is one of the four basic operations of arithmetic, along with addition, subtraction, and multiplication. It is an inverse operation to multiplication, meaning that dividing by a number is the same as multiplying by its reciprocal. Division can be thought of as the process of finding how many times a number (the divisor) can fit into another number (the dividend). The result of the division is called the quotient. In some cases, the division may result in a fractional number, representing a partial division. In this case, the result is a rational number, which is a type of real number. Division can also be represented using long division, a method used to divide large numbers or polynomials. It involves dividing the dividend by the divisor one digit at a time, until the division is complete.
Here,
=22/44/7
=22/44*1/7
=1/14
The answer for the complex fraction is 1/14 by the division.
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5% of a number is 231%of the same number is 4. 6work out 16%of the number
Answer:
23
Step-by-step explanation:
A : y=2x+2^3
B : y=2x + 1^2
C : y=1^2x+2
D : y=2^3x+2
Answer:
None of these equations create that graph.
The closest would be C.
Step-by-step explanation:
what is the value of (x - y) (x - y) if xy = 3 and x2 y2 = 25?
The value of (x - y)(x - y), if xy = 3 and x² + y² = 25, is 19.
A binomial is an expression represented by the sum or a difference of two algebraic terms. Generally, we can express it as a+b. If we square this binomial, (a + b)², it can be expanded into a² + 2ab + b².
xy = 3
x² + y² = 25
Now, (x - y)(x - y) = x² + y² -xy -xy
(x - y)(x - y) = x² + y² -2xy
Now put the values of x² + y² and xy
(x - y)(x - y) = 25 - 2 × 3
(x - y)(x - y) = 25 - 6
(x - y)(x - y) = 19
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3. Lin had $18 in her bank account. She bought a ticket to the movies for
$9, a bag of popcorn for $7 and a drink for $5. What is Lin's account balance
now?
Crunch Bunch cereal boxes come in two sizes. The mini cereal box of Crunch Bunch is a reduction of the standard box.
Answer:
Despite the full question not being in place the anwser your looking for is 10 inches.
Answer:
10 inches
Step-by-step explanation:
The ratio of the length to width of a meeting room is 7 to 5.
What is the perimeter of the room if the width of the room is 25 feet?
Enter your answer in the box.
What is the average rate of change in f(x) over the interval [4,13]?
a. 1/3
b.4/13
c. 11/13
d.11/8
The sum of all interior angles of a 33-sided regular polygon is 5,580°.Explanation:The formula for finding the sum of all interior angles of a regular polygon is given by:
S = (n - 2) × 180°Where n is the number of sides of the regular polygon.Substituting n = 33 in the above formula:S = (33 - 2) × 180°S = 31 × 180°S = 5,580°Therefore, the sum of all interior angles of a 33-sided regular polygon is 5,580°.Option D, 5,580°, is the correct answer.
Therefore, the average rate of change in f(x) over the interval [4,13] is `13/9`. Hence, the correct option is not given but it's the answer.
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Alonzo and Mitra wanted to share a pizza. Mitra ate
1/4
of the pizza, and Alonzo ate
3/4
of the pizza.
How much more pizza did Alonzo eat than Mitra?
Answer: 2/4 more pizzia
Step-by-step explanation: Becuse if Mirtra ate 1/4 of the pizzia then you have 3/4 left and alonzo ate 3/4 of the pizza and if you subtract those the differce ends up to be 2/4.
Expand and simplify (x − 3)(2x + 1)(3x - 2)
Answer:
6\(x^{3}\)- 19\(x^{2}\)+\(x\)+6
Step-by-step explanation:
Answer:
6x³ - 19x² + x + 6
Step-by-step explanation:
A casserole is removed from a 375oF oven and cools to 190oF after 25 minutes in a room at 68oF. How long (from the time it is a removed from the oven) will it take the casserole to cool to 105oF
Answer:
57.3 minutes
Step-by-step explanation:
We know that the temperature as a function of time of an object is described by the equation:
\(T(t) = T_a + (T_0 - Ta)*e^{-k*t}\)
Where:
k is a constant
Tₐ = room temperature = 68°F
T₀ = initial temperature of the object = 375°F
Replacing these in our equation we will get
T(t) = 68°F + (375°F - 68°F)*e^{-k*t} = 68°F + (307°F)*e^{-k*t}
And we know that after 25 minutes, at t = 25min, the temperature of the casserole is 190°F
then:
T(25min) = 190°F = 68°F + (307°F)*e^{-k*25 min}
Now we can solve this for k:
190°F = 68°F + (307°F)*e^{-k*25 min}
190°F - 68°F = (307°F)*e^{-k*25 min}
(122°F)/(307°F) = e^{-k*25 min}
Now we can apply the natural logarithm in both sides:
Ln( 122/307) = Ln(e^{-k*25 min}) = -k*25min
Ln( 122/307)/(-25 min) = k = 0.0369 min^-1
Then the temperature equation is:
T(t) = 68°F + (307°F)*e^{-0.0369 min^-1*t}
Now we want to find the value of t such that:
T(t) = 105°F = 68°F + (307°F)*e^{-0.0369 min^-1*t}
We can solve this in the same way:
105°F - 68°F = (307°F)*e^{-0.0369 min^-1*t}
37°F = (307°F)*e^{-0.0369 min^-1*t}
(37°F)/(307°F) = e^{-0.0369 min^-1*t}
Ln( 37/307) = -0.0369 min^-1*t
Ln( 37/307)/( -0.0369 min^-1 ) = 57.3 min
So after 57.3 minutes, the temperature of the casserrole will be 105°F
The length of a side of a cube is 7. 5 cm. Find the volume of the new cube if the length of each side of the cube is doubled
Answer:
3375cm³
Step-by-step explanation:
volume of old cube = 7.5³ = 421.875 cm³
volume of new cube = (2 X 7.5)³ = 15³ = 3375cm³
4.
Nalli bought a 24-ounce bottle of salad
dressing for $5.75. She has used 60% of the
bottle this week for her lunches. What is the
cost of the amount of salad dressing that she
has used this week?
Answer:
THAZ NOW NUMBU FO IDIYIT WEN YO POWPIN
Step-by-step explanation:
WILL GIVE BRAINLIEST
Question
A computer generates 50 integers from 1 to 8 at random. The results are recorded in this table.
Outcome 1 2 3 4 5 6 7 8
Number of times outcome occurred
5 8 9 7 4 6 5 6
What is the experimental probability of the computer generating a 2 or a 4?
Responses
12%
15%
22%
30%
uh i need help now pls ty
Answer:
2 and 3/4
Step-by-step explanation:
The pattern is to add 2/4 each time. to find the 6th term, add 2/4 three more times.
1 and 1/4 + 2/4 = 1 and 3/4
1 and 3/4 + 2/4 = 2 and 1/4
2 and 1/4 + 2/4 = 2 and 3/4
a phone company has a monthly cell plan where a customer pays a flat monthly fee and then a certain amount of money per minute used for voice and video calling. if a customer uses 410 minutes, the monthly cost will be $71.50. if the customer uses 720 minutes, the monthly cost will be $118. assume this pattern is linear.
Based on the given information, we can assume that the relationship between the number of minutes used and the monthly cost is linear. To determine the equation of the linear relationship, we can use the two data points provided: (410 minutes, $71.50) and (720 minutes, $118).
Using the formula for the equation of a line, y = mx + b, where y represents the monthly cost, x represents the number of minutes used, m represents the slope of the line, and b represents the y-intercept, we can calculate the values. First, we find the slope (m) using the formula: m = (change in y) / (change in x) = (118 - 71.50) / (720 - 410) = 46.50 / 310 ≈ 0.15.
Next, we can substitute one of the data points into the equation and solve for the y-intercept (b):
71.50 = 0.15 * 410 + b
71.50 = 61.50 + b
b = 71.50 - 61.50
b = 10.
Therefore, the equation of the linear relationship between the number of minutes used (x) and the monthly cost (y) is y = 0.15x + 10.Based on the given information, we can assume that the relationship between the number of minutes used and the monthly cost is linear.
Using this equation, we can calculate the monthly cost for any given number of minutes used within the range of the data points.
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8. You have a coupon for $2 off any purchase at the supermarket.
Write an equation to represent the discounted price, d, that you would pay for any item at the
supermarket with an original price of p.
Answer:p=d2
Step-by-step explanation:math
A and B are independent events. P(S) = 0.40 and P(B) = 0.30. What is P(A and B)
The value of the probability P(A and B) is 0.12
How to determine the probability?The given parameters are
P(A) = 0.40
P(B) = 0.30
Given that the events are independent events;, we have:
P(A and B) = P(A) * P(B)
So, we have:
P(A and B) = 0.40 * 0.30
Evaluate
P(A and B) = 0.12
Hence, the value of the probability P(A and B) is 0.12
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While Mary Corens was a student at the University of Tennessee, she borrowed $8,000 in student loans at an annual interest rate of 11%. If Mary repays $1,500 per year, then how long (to the nearest year) will it take her to repay the loan? Do not round intermediate calculations. Round your answer to the nearest whole number.
year(s)
According to the question Rounding to the nearest whole number, it will take Mary approximately 5 years to repay the loan. The answer is 5 years.
To calculate the time it will take for Mary to repay the loan, we can use the formula for the number of years (t) needed to repay a loan:
t = loan amount / annual payment,
where the loan amount is $8,000 and the annual payment is $1,500.
Substituting the given values into the formula, we have:
t = $8,000 / $1,500 ≈ 5.3333.
Rounding to the nearest whole number, it will take Mary approximately 5 years to repay the loan. The answer is 5 years.
Therefore, the answer is 5 years.
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álgebra 1 solve -2 + 11(17y + 15)
Work Shown:
-2 + 11(17y + 15)
-2 + 11(17y) + 11(15) .... distributive property
-2 + 187y + 165
187y + (-2+165)
187y + 163
Determine the slope of the linear function. Please help ! (only right answers please )!
Answer:
D-4
Step-by-step explanation:
It is asking for the slope and is written in slope-intercept form. 4x is your slope and 3 is your y intercept.
The cost of a ticket to a soccer game is $6. There are y people in a group who want to go to the game.
Which of the following expressions describes the total amount of money the group will need to go to the soccer game?
6−y
6y
y + 6
(6)(6)
Answer:
6y
Step-by-step explanation:
uhhhh
in the cost equation tc = f + vx, x is best described as the:
The cost equation is used to estimate total costs associated with a given level of activity or output, where f is the fixed cost and v is the variable cost per unit of activity. The variable cost component (vx) changes in proportion to the level of activity or output (x), whereas the fixed cost component (f) remains constant regardless of the level of activity.
In the cost equation tc = f + vx, x is best described as the level of activity or the quantity of the input variable. The cost equation is a mathematical representation of the relationship between the total cost of production and the level of activity or the quantity of the input variable. The variable x represents the number of units produced or the amount of resources used in the production process, which can be measured in terms of labor hours, machine hours, or any other relevant unit of measure. The variable v represents the variable cost per unit of activity, and f represents the fixed cost of production.
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Simplify (2^3)^-2
A. -1/64
B. 1/64
C. 2
D. 64
Answer:
B, 1/64
Step-by-step explanation:
\(2^{3}\) = 8
\(8^{-2}\) = \(\frac{1}{8^2}\) = \(\frac{1}{64}\)
Answer:
B. 1/64
Step-by-step explanation:
Got it right on the assignment
SOLVE FOR X: C 1. 82x+1 • (12) = 16² 2.51-3x9x+2 = 3. 5-6 e²-3x = -7 4.4e²+3=15 3-X B. (CONTINUED) 5. 2lnx-ln (x+6)=0 6. log (x²25) + log(x-5)-log(x+5)=2 7. 3 logs X-Zlog X-log₂ (x+1)= log₂2X 8. 6 = 2 en (5x-1)
The subsequent questions (5-8), there are different types of logarithmic equations and exponential equations to be solved for x.
Solve for x: 82x+1 • (12) = 16²
The given equation is 82x+1 • 12 = 16². To solve for x, we need to simplify the equation and isolate the variable. First, we simplify the right side: 16² = 256. Now, we can rewrite the equation as 82x+1 • 12 = 256. Dividing both sides by 12, we have 82x+1 = 21. Finally, subtracting 1 from both sides gives us 82x = 20. Dividing both sides by 82, we find x = 20/82.
Solve for x: 51-3x9x+2 = 3.
The equation given is 51 - 3x9x + 2 = 3. To solve for x, we need to simplify the equation and isolate the variable. First, we simplify the left side: 51 - 27x + 2 = 3. Combining like terms, we have 53 - 27x = 3. Now, subtracting 53 from both sides gives us -27x = -50. Finally, dividing both sides by -27, we find x = -50/-27, which simplifies to x = 50/27.
Solve for x: 5 - 6e²-3x = -7.
The equation given is 5 - 6e²-3x = -7. To solve for x, we need to simplify the equation and isolate the variable. First, we add 7 to both sides: 5 - 6e²-3x + 7 = 0. Simplifying further, we have 12 - 6e²-3x = 0. Now, subtracting 12 from both sides gives us -6e²-3x = -12. Dividing both sides by -3, we find 2e² + x = 4. Rearranging the equation, we have x = 4 - 2e².
Solve for x: 4e² + 3 = 15.
The equation given is 4e² + 3 = 15. To solve for x, we need to simplify the equation and isolate the variable. First, subtracting 3 from both sides gives us 4e² = 12. Dividing both sides by 4, we find e² = 3. Taking the square root of both sides, we have e = ±√3. Therefore, there are two solutions: e = √3 and e = -√3.
Please note that in the subsequent questions (5-8), there are different types of logarithmic equations and exponential equations to be solved for x. If you provide the specific question number, I can provide the solutions accordingly.
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help me plssss it’s due tonight
Answer:
Answer choice A
Step-by-step explanation:
This is the midpoint of both coordinates.
A farmer wants to estimate the number of rabbits on his farm.
On Monday he catches 120 rabbits.
He puts a tag on each rabbit.
He then lets the rabbits run away.
On Tuesday the farmer catches 70 rabbits.
15 of these rabbits have a tag on them.
Work out an estimate for the total number of rabbits on the farm.
You must write down any assumptions you have made.
(4marks)
Hello can someone help me with this question my assumption is : the population has not changed- no member have joined or left the population , there are no deaths or births.
Answer:
There is a possibility of births and deaths. This also, informs us of a larger population.
Step-by-step explanation:
This is because there are 333% more rabbits without a tag than with one. This giving us the possibility shown above!
Mark as brainliest
Answer: 560 total rabbits
Step-by-step explanation:
Your assumptions are great but you can also add the assumption that the ratio of the rabbits caught on Monday is the same ratio of the rabbits caught on Tuesday.
\(\text{Tuesday:}\quad \dfrac{15\ tags}{70\ rabbits}=\dfrac{3\ tags}{14\ rabbits}\ \leftarrow simplified\)
Assumption:
3/14 of the total rabbits on the farm = 120 tagged on Monday
Let r represent the total rabbits on the farm
then (3/14)r = 120
r = 120(14/3)
r = 560