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a-1. The manager's return in the month, based on the performance table information, is 1.38%.

a-2.  The manager's underperformance is 0.51% (1.89 - 1.38).

A manager's underperformance occurs when the manager delivers results below expectation.

For instance, the weighted benchmark return was expected to be 1.89%, but the manager achieved an actual weighted return of 1.38%.

                     (1) Actual    (2) Actual   (3) Benchmark   (4) Index

                         Return        Weight           Weight     Return

Equity                  2.2%         0.4                  0.5                 2.7% (S&P 500)

Bonds                  1.1             0.2                  0.2                  1.5 (Barclays Aggregate Bond index)

Cash                    0.7          0.4                   0.3                  0.8

                     (1) Actual    (2) Actual   Weighted

                         Return     Weight       Returns

Equity                  2.2%         0.4            0.88%

Bonds                  1.1             0.2            0.22

Cash                    0.7          0.4              0.28

Weighted Returns =                             1.38%

                      Benchmark   (4) Index                   Weighted

                            Weight        Return                   Benchmark

Equity                  0.5                 2.7% (S&P 500)    1.35% (0.5 x 2.7)

Bonds                  0.2                  1.5 (Barclays       0.30 (0.2 x 1.5)

Aggregate Bond index)

Cash                    0.3                  0.8                      0.24 (0.3 x 0.8)

Weighted Benchmark Return =                            1.89%

Thus, there was a comparative underperformance of 0.51%.

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to get the equation of any straight line, we simply need two points off of it, so hmm let's use the two points you see in the picture below from the provided table.

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{1}}}\implies \cfrac{5+1}{3}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{2}(x-\stackrel{x_1}{1}) \\\\\\ y+1=2x-2\implies y=2x-3[/tex]

Answer:

2x+4

Step-by-step explanation:

factor 4x²-16

=(2x+4)(2x-4)

=(2x+4)(2x-4)/ 2x-4

cancel out the common factors of 2x-4

Answer= 2x+4

Answer:

A. x = 11

B. x = 3/4 (or 0.75)

C. any value

D. x = 0

Step-by-step explanation:

hope this helps:)

Answer:

28.57

Explanation:

35 is the total amount of students.

25 is the amount of women in the class, we can assume the rest are men.

35 Total students - 25 women = 10 men

10 men, 35 Total students

(10/35) × 100 = 28.57%

[tex](256)^{\tfrac 14}\\\\=(4^4)^{\tfrac 14}\\\\=4^{\tfrac 44}\\\\=4^1 \\\\= 4\\\\\\27^{\tfrac 13}\\\\=(3^3)^{\tfrac 13}\\\\=3^{\tfrac 33} \\\\=3^1\\\\=3[/tex]

Answer:

she worked 12 hours as a carpenter and 18 hours as a blacksmith

Step-by-step explanation:

Let x = the number of hours for which she worked as a carpenter

Let y = be the number of hours for which she worked as a blacksmith

Total numbers of hours she worked = 30

x + y = 30 (1)

she earned a total $690. She earned $20 dollar per hour as a carpenter and $25 per hour as a blacksmith.

20 x + 25 y = 690 (2)

Equation (2) - 20 × Equation (1),

We get,

5 y = 90 ⇒ y = 18

After substituting this value in equation (1),

We get, x = 12,

Hence, She worked as a carpenter = x hours = 12 hours

And, as a blacksmith = y hours = 18 hours

Answer:1.1.this relation is function because domains are not repeated

Step-by-step explanation:

Answer:

A = 25π square feet

Step-by-step explanation:

C = 2πr

10π = 2πr

10π = 2πx

10π / 2π = 2πx / 2π

5 = x

This means 5 is the radius of the circle. We now need to find the area:

A = πr[tex]r^{2}[/tex]

A = π(5)²

A = π(25)

A = 25π

Answer:

x³ + 5x² + 2x - 8

Step-by-step explanation:

1) Distribute

(x + 4) (x² + x - 2)

x(x² + x - 2) + 4 ( x² + x - 2)

2) Distribute

x(x² + x - 2) + 4 (x² + x - 2)

x³ + x² - 2x + 4 (x² + x - 2)

3) Distribute

x³ + x² - 2x + 4 (x² + x - 2)

x³ + x² - 2x + 4x² + 4x - 8

4) Combine like terms

x³ + x² - 2x + 4x² + 4x - 8

x³ + 5x² - 2x + 4x - 8

5) Combine like terms

x³ + 5x² - 2x + 4x - 8

x³ + 5x² + 2x - 8

The length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

The area of the table runner = 80 square inches

Let's assume the length of the rectangle is L and the width is W

Then L = 5×W ...(1)

L×W = 80 ...(2)

Put the value of L in the equation (2)

5W(W) = 80

5W² = 80

W² = 16

W = ±4

Width cannot be negative.

W = 4 inches putting this value in the equation (1)

L = 5(4) = 20 inches

Thus, the length of the rectangle is 20 inches, and the width of the rectangle is 4 inches if the table runner has an area of 80 square inches. The length and width of the table runner are whole numbers. The length is 5 times greater than the width.

Learn more about the area here:

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Its 62%

I took the test

Answer:

picture?

Step-by-step explanation:

Answer:

In the picture attached, the question is shown.

a) Applying Pythagorean theorem to triangle ABC, and solving for AC:

CB² + BA² = AC²

5² + 12² = AC²

√169 = AC

13 cm = AC

b) Applying Pythagorean theorem to triangle ACD, and solving for AD:

CD² + AC² = AD²

5² + 13² = AD²

√194 = AD

13.9 cm = AD

Step-by-step explanation:

Answer:

Here's your solution mate..

Circumference is diameter x pi so the diameter of the circle is 11.

Radius is half the diameter so the radius is 11/2 = 5.5

area of a circle is r^2 x pi

Area = 5.5^2 x pi

5.5^2 = 30.25

Area = 30.25pi

Answer:   A≈1015.4

Step-by-step explanation:

A=2πrh+2πr2=2·π·8·12.2+2·π·82≈1015.36275

Answer:

407 mm²

Step-by-step explanation:

The formula for the surface area of a clyinder is: A = 2[tex]\pi[/tex]r · (r + h)

Plugging in the given values, we have: A = 2[tex]\pi[/tex]4 · (4 + 12.2)

A = 2[tex]\pi[/tex]4 · (4 + 12.2)

A = 2[tex]\pi[/tex]4 · 16.2

A = 2(3.14)4 · 16.2

A = 406.944

A = 407 (rounded)

hope this helps!

Answer:

$805.0432

Step-by-step explanation:

118% was paid, so the original would be 82% of 981.76 (100-18), which is $805.0432 (rounds to $805.04)

[tex]z_1 - z_2 \\\\=(5-2i) -(3+2i)\\\\=5-2i-3-2i\\\\=2-4i[/tex]

Answer:

z1 - 2z = 2

Step-by-step explanation:

make 2i stand alone in both equations

therefore, in equation one, we have;

z1-5=-2i

5-z1=2i

we do same in equation 2

z2-3=2i

therefore, comparing the two equations, we can equate them!

2z-3=z1-5

-3+5=z1-2z

2 = z1 - 2z

therefore, z1 - 2z = 2

Answer:

144 deaths

Step-by-step explanation:

So, assuming it's not a leap year 30,300 must be divided by the number of days in the year to get the daily amount.

30,300/365 = 114.339....

since 3 is not greater than 5, the 144 does not round up but stays the same.

(Since you cannot have a fraction of a death)

114 is your answer

hope this helps :)

Answer:

4/3 or 1 1/3

Step-by-step explanation:

Finding x

Substitute in the equation

Answer:

[tex]\huge\boxed{\bf\:\frac{4}{3} }[/tex]

Step-by-step explanation:

If, [tex]x^{2} = 64[/tex], then,

[tex]x^{2} = 64\\x = \sqrt{64}\\x = (+/-)8[/tex]

Now, remember that any number when folllowed by exponent 0 will always have its value as 1.

Then,

[tex]\frac{1}{3} + x^{0} \\ =\frac{1}{3} + (+/-8)^{0} \\= \frac{1}{3} + 1\\=\frac{1}{3} +\frac{3}{3} \:\:\:\: (LCM = 3)\\ \boxed{\bf\:\frac{4}{3} }[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer: 9.

Step-by-step explanation: To find the MAD (mean absolute deviation) we need to do the following steps below:

1. Find the mean.

2. Subtract the mean from the numbers of the data.

3. Add the results and divide to find the MAD.

The steps are done below:

1. Find the mean: In order to find the mean of a data set, you need to add all the numbers and then divide the result by how many numbers there are in the data set.  In this problem, there are 10 numbers in the data set, so whatever we get for adding the data numbers together needs to be divided by 10.

2. Subtract the mean from the numbers of the data: To do this, we need to subtract 33 from all the numbers on the data.  The following is done below. (*Note: You may notice that most equations like 26 - 33 would be in the negatives, but for data, it has to be positive.  If you ever run into a situation like that, you simply just make it positive).

3. Add the results and divide to find the MAD: Now that we have the results, we add those numbers and then divide to find the MAD.  Make sure that when you divide that it is 10 that you're dividing because once again, there are 10 numbers for the results.

Therefore, 9 is the MAD.

Let me know if this is right! :)

[tex]\displaystyle \int^0_{-2} (x^2 +x )~dx\\\\\\=\displaystyle \int^0_{-2} x^2~ dx +\displaystyle \int^0_{-2}x ~ dx\\\\\\=\dfrac 13 \left[x^3 \right]^{0}_{-2}+ \dfrac 12 \left[ x^2\right]^{0}_{-2}\\\\\\=\dfrac 13 (0+8) + \dfrac 12 (0-4)\\ \\\\=\dfrac 83 - \dfrac 42\\\\\\=\dfrac 83 - 2\\\\\\=\dfrac 23[/tex]

Answer:

7.5

Step-by-step explanation:

how i figured it is 18-3 is 15

2*7 is 14 so in turn 7.5 *2 is 15 so

z=7.5

This can be represented in the form of an equation as: 2(x + 3) = 18.So, the correct Answer is A. 2(x+3)=18.

The correct translation of the given sentence is:" twice the sum of a number and three is eighteen".

The equation "2(x + 3) = 18" correctly represents the statement "twice the sum of a number and three is eighteen."

To know more about equation:

https://brainly.com/question/10724260

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