If you know the answer answer it with the explanation thank you.

If You Know The Answer Answer It With The Explanation Thank You.

Answers

Answer 1

The four numbers are 1, 5, 11, and 23.

Four numbers have a mean of 10 and the median is 8. Two of the numbers are 1 and 5. The other two numbers must be 11 and 23.

The mean of a set of numbers is calculated by adding all of the numbers and dividing by the number of numbers. In this case, the mean is 10, so the sum of the four numbers is 40. We already know that two of the numbers are 1 and 5, so the other two numbers must add up to 34.

The median of a set of numbers is the middle number when the numbers are arranged in ascending order. In this case, the median is 8, so the third number must be 8. This leaves the fourth number to be either 11 or 23.

If the fourth number is 11, then the mean of the four numbers will be 9.5, which is not correct. Therefore, the fourth number must be 23.

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Related Questions

The question what function matches the graph?
A) linear
B) exponential
C)Geometric
D)Quadratic

Answers

There’s a constant rate and each input has one output therefore it’s linear

Given the zero: 5, -3/4, 2i, [tex]\sqrt{5}[/tex]
Find the factor for these.

Answers

The polynomial with the given zeros is [tex]x^3 - (25/4)x^2 + (19/4)ix + (30/4)i.[/tex]

To find the factors corresponding to the given zeros, we can use the fact that if a number is a zero of a polynomial, then (x - zero) is a factor of the polynomial.

Given zeros: 5, -3/4, 2i

For the zero 5, the corresponding factor is (x - 5).

For the zero -3/4, the corresponding factor is (x + 3/4).

For the zero 2i, the corresponding factor is (x - 2i).

To find the complete polynomial, we can multiply these factors together:

[tex](x - 5)(x + 3/4)(x - 2i)[/tex]

To simplify the polynomial, we can multiply the factors using the distributive property:

[tex](x^2 - 5x + (3/4)x - 15/4)(x - 2i)[/tex]

Combining like terms:

[tex](x^2 - (17/4)x - 15/4)(x - 2i)[/tex]

Expanding further:

[tex]x^3 - (17/4)x^2 - (15/4)x - 2ix^2 + (34/4)ix + (30/4)i[/tex]

Simplifying and combining like terms, we have the final polynomial:

[tex]x^3 - (25/4)x^2 + (19/4)ix + (30/4)i[/tex]

Therefore , the polynomial with the given zeros is [tex]x^3 - (25/4)x^2 + (19/4)ix + (30/4)i.[/tex]

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Find the sum of the first 27 terms
of the arithmetic sequence.
First, fill in the equation.
a₁
= 5 and a27
Sn = 2/(a₁ + an)
Sn
=
[?]
2
+
=
83

Answers

Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for [tex]S_{n}[/tex] , that is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] (a₁ + [tex]a_{n}[/tex] )

with a₁ = 5 and [tex]a_{n}[/tex] = a₂₇ = 83 , then

S₂₇ = [tex]\frac{27}{2}[/tex] (5 + 83) = 13.5 × 88 = 1188

Complete the table. Answer should be T or F.

P Q

T F P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
F T P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q

Answers

P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q

T T T T T F F F F F T    T

F T T F F T T T T T F    F

P F T F F T T T T T F     F

-P T T F F T T T T T F     F

-Q T T T T F T F F F T     T

-P V -Q T T F F T T T T T F

-P -> Q T T F F T T T T T F

-P -> -Q T T F F T T T T T F

P <-> Q T T T T F T T T T F

Here is a more detailed explanation of how I filled out the table:

P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.

P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.

P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.

-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.

-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.

-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.

-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.

-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.

P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.

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Need help with top problem. Maybe bottom too

Answers

1) The area of a circle circumscribed about a square is 307.7 cm².

2.a.) The angle ACB is 39 degrees.°.

2b.) The value of x is 5.42.

How to determine the area of a circle?

We shall find the radius to determine the area of a circle.

First,  find the side length of the square:

Since the perimeter of the square = 56 cm, then, each side of the square is 56 cm / 4 = 14 cm.

Next, find the diagonal of the square, using the Pythagorean theorem:

Diagonal = the diameter of the circumscribed circle.

Diagonal² = side length² + side length²

= 14 cm² + 14 cm²

= 196 cm² + 196 cm²

= 392 cm²

Take the square root of both sides:

Diagonal = √392 cm ≈ 19.80 cm (rounded to two decimal places)

Then, the radius of the circle which is half the diagonal:

Radius = Diagonal / 2 ≈ 19.80 cm / 2 ≈ 9.90 cm (rounded to two decimal places)

Finally, compute the area of the circle using the formula:

Area = π * Radius²

Area = 3.14 * (9.90 cm)²

Area ≈ 307.7 cm² (rounded to two decimal places)

Therefore, the area of the circle that is circumscribed about a square with a perimeter of 56 cm is 307.7 cm².

2. a) We use the property of angles in a circle to solve for angle ACB: an angle inscribed in a circle is half the measure of its intercepted arc.

Given that arc AB has a measure of 78°, we can find angle ACB as follows:

Angle ACB = 1/2 * arc AB

= 1/2 * 78°

= 39°

Therefore, the angle ACB is 39 degrees.

2b.) To solve for the value of x, we use the information that the angle ADB =  (3x - 12)⁴.

Given that angle ADB is (3x - 12)⁴, we can equate it to the measure of the intercepted arc AB, which is 78°:

(3x - 12)⁴ = 78

Solve the equation for x, by taking the fourth root of both sides:

∛∛((3x - 12)⁴) = ∛∛78

Simplify,

3x - 12 = ∛(78)

Isolate x by adding 12 to both sides:

3x - 12 + 12 = ∛(78) + 12

3x = ∛(78) + 12

Finally, divide both sides by 3:

x = (∛(78) + 12) / 3

x = (4.27 +12) / 3

x = 5.42

So, x is 5.42

Therefore,

1) The area of the circle is 154 cm².

2a.) Angle ACB is equal to 102°.

2b.) The value of x is 5.42

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Use Stokes´ Theorem to evaluate ∬s.curl F•nds. Assume that the Surface S is oriented upward.

F= (6yz)i+(5x)j+ (yz(e^(x^2)))k. ; S that portion of the paraboloid z=(1/4)x^2+y^2 for 0≤z≤4

Answers

The surface integral in terms of ρ and θ ∫∫S.((6y - 5)e^(x^2))

To evaluate ∬s.curl F•nds using Stokes' Theorem, we first need to find the curl of the vector field F and then compute the surface integral over the given surface S.

Given vector field F = (6yz)i + (5x)j + (yz(e^(x^2)))k, let's find its curl:

∇ × F = ∂/∂x (yz(e^(x^2))) - ∂/∂y (5x) + ∂/∂z (6yz)

Taking the partial derivatives, we get:

∇ × F = (0 - 0) i + (0 - 0) j + (6y - 5)e^(x^2)

Now, let's parametrize the surface S, which is the portion of the paraboloid z = (1/4)x^2 + y^2 for 0 ≤ z ≤ 4. We can use cylindrical coordinates for this parametrization:

r(θ, ρ) = ρcos(θ)i + ρsin(θ)j + ((1/4)(ρcos(θ))^2 + (ρsin(θ))^2)k

where 0 ≤ θ ≤ 2π and 0 ≤ ρ ≤ 2.

Next, we need to find the normal vector n to the surface S. Since S is oriented upward, the normal vector points in the positive z-direction. We can normalize this vector to have unit length:

n = (∂r/∂θ) × (∂r/∂ρ)

Calculating the partial derivatives and taking the cross product, we have:

∂r/∂θ = -ρsin(θ)i + ρcos(θ)j

∂r/∂ρ = cos(θ)i + sin(θ)j + (1/2)(ρcos(θ))k

∂r/∂θ × ∂r/∂ρ = (-ρsin(θ)i + ρcos(θ)j) × (cos(θ)i + sin(θ)j + (1/2)(ρcos(θ))k)

Expanding the cross product, we get:

∂r/∂θ × ∂r/∂ρ = (ρcos(θ)(1/2)(ρcos(θ)) - (1/2)(ρcos(θ))(-ρsin(θ)))i

+ ((1/2)(ρcos(θ))sin(θ) - ρsin(θ)(1/2)(ρcos(θ)))j

+ (-ρsin(θ)cos(θ) + ρsin(θ)cos(θ))k

Simplifying further:

∂r/∂θ × ∂r/∂ρ = ρ^2cos(θ)i + ρ^2sin(θ)j

Now, we can calculate the surface integral using Stokes' Theorem:

∬s.curl F•nds = ∮c.F•dr

= ∫∫S.((∇ × F)•n) dS

Substituting the values we obtained earlier:

∫∫S.((∇ × F)•n) dS = ∫∫S.((6y - 5)e^(x^2))•(ρ^2cos(θ)i + ρ^2sin(θ)j) dS

We can now rewrite the surface integral in terms of ρ and θ:

∫∫S.((6y - 5)e^(x^2))

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Una pastelería es famosa por dos de sus especialidades de pasteles: el Especial y el Supremo. El Especial requiere para su elaboración medio kilo de azúcar y 8 huevos, teniendo un precio de venta de $200. El Supremo necesita un kilo de azúcar y 8 huevos, teniendo un precio de venta de $270. En el almacén les quedaban 10 kilos de azúcar y 120 huevos.

Answers

Given statement solution is :-The ingredients available in the warehouse, a maximum of 15 "Special" cakes and 10 "Supreme" cakes can be made.

To determine how many cakes they can make of each specialty, we need to review the amount of ingredients available in the warehouse and then calculate how many cakes can be made with that amount.

Amount of ingredients in the warehouse:

Sugar: 10 kilos

Eggs: 120

For the "Special" cake:

It requires half a kilo of sugar per cake.

It requires 8 eggs per cake.

Sale price: $200 per cake.

To calculate how many "Special" cakes can be made, we divide the amount of sugar and eggs available in the store by the ingredients required per cake:

"Special" cakes that can be made:

Available sugar / Sugar required per cake = 10 kilos / 0.5 kilos = 20 cakes

Eggs Available / Eggs Required per Cake = 120 Eggs / 8 Eggs = 15 Cakes

Therefore, with the ingredients available in the store, a maximum of 15 "Special" cakes can be made.

For the "Supreme" cake:

It requires a kilo of sugar per cake.

It requires 8 eggs per cake.

Sale price: $270 per cake.

To calculate how many "Supreme" cakes can be made, we again divide the amount of sugar and eggs available in the store by the ingredients required per cake:

"Supreme" cakes that can be made:

Available sugar / Sugar required per cake = 10 kilos / 1 kilo = 10 cakes

Eggs Available / Eggs Required per Cake = 120 Eggs / 8 Eggs = 15 Cakes

Thus, with the ingredients available in the warehouse, a maximum of 10 "Supreme" cakes can be made.

In short, with the ingredients available in the warehouse, a maximum of 15 "Special" cakes and 10 "Supreme" cakes can be made.

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2) Find the distance between each pair of parallel lines: y = -5x y = -5x + 26

Answers

Answer:

26 units

Step-by-step explanation:

Step 1: Determine the y-intercepts of the lines:

The first line y = -5x has a y-intercept of 0 (when x = 0).

The second line y = -5x + 26 has a y-intercept of 26 (when x = 0).

Step 2: Calculate the difference in the y-intercepts:

Difference = |0 - 26| = 26 units

Therefore, the distance between the pair of parallel lines y = -5x and y = -5x + 26 is 26 units.

A circle has a radius of 4 ft.

What is the area of the sector formed by a central angle measuring 260°?

Use 3.14 for pi.

Enter your answer, rounded to the nearest tenth in the box.

Answers

The area of the sector is approximately 36.0 ft²

What is the area of the sector?

To find the area of the sector formed by a central angle of 260° in a circle with a radius of 4 ft, you can use the formula:

Area of sector = (θ/360°) * π * r²

where θ is the central angle in degrees, π is the value of pi, and r is the radius.

Plugging in the values:

θ = 260°

r = 4 ft

π = 3.14

Area of sector = (260/360) * 3.14 * 4²

Area of sector = (0.7222) * 3.14 * 16 = 36.3 square feet

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24. What is the cost for 5 t-shirts that cost $10 with a sales tax of 6%?

$3
$56
$50
$53

Answers

The cost for 5 t-shirts, including Sales tax, is $53.

The cost of 5 t-shirts with a price of $10 each and a sales tax of 6%, we need to multiply the total price of the t-shirts by the sales tax rate and add it to the original price.

The original price of one t-shirt is $10. Therefore, the total price of 5 t-shirts is:

$10 * 5 = $50

To calculate the sales tax, we need to multiply the total price by the sales tax rate of 6%:

$50 * 6% = $50 * 0.06 = $3

Adding the sales tax to the total price:

$50 + $3 = $53

Therefore, the cost for 5 t-shirts, including sales tax, is $53.

The correct answer is: $53.

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which of the following statement is not true about sin theta, where theta is 2π/3 radians.

a) it has the same value as sin(8π/3)
b) it has the same value as sin30°
c) it has a positive value
d) it has a negative value​

Answers

Step-by-step explanation:

2pi/3 is the same thing as 2pi/3 * 180/pi = 120 degrees

From your choices, we know that it is either c or d.

sin(120) is in the 2nd quadrant, so the x is negative and the y is positive. Remember that sin corresponds to the y value, so it is positive. Therefore option (d) is not true.

A house on the market was valued at 432,000. After several years, the value decreased by 9%. By how much did the house's value decrease in dollars? What is the current value of the house?

Answers

Answer:

$393,120

Step-by-step explanation:

To find the decrease in the house's value in dollars, we need to calculate 9% of the initial value:

Decrease in value = (Initial value) * (Percentage decrease) = $432,000 * 9%

Converting the percentage to a decimal:

Decrease in value = $432,000 * 0.09 = $38,880

The house's value decreased by $38,880.

Now, to find the current value of the house, we need to subtract the decrease in value from the initial value:

Current value = Initial value - Decrease in value = $432,000 - $38,880 = $393,120

The current value of the house is $393,120.

Hope this helps!

If you sleep 6 hours out of 24 hours, what percent of the time do you sleep? Please answer quickly and provide how to get the answer as well! :)

Answers

twenty five percent. you simply divide 6 by 24.

627 x 26

how do you solve this problem using standard algorithm

Answers

627 x 26 equals 16,302 when solved using the standard algorithm.

The steps below can be used to solve the multiplication issue 627 x 26 using the conventional algorithm:

627 and 26 should be written one above the other, with the larger number appearing above and the smaller number beneath.

Start by adding each digit of the top number to the ones digit of the bottom number (six). Write the answers below the line after multiplying 6 by 7 and then by 2.

1254 -- a 6 x 7 partial product

1254 -- a half 6 x 2 product

Repeat the process by moving the bottom number one position to the left after that. Multiply 2 by 7 and then by 2, and then write the results one space to the left of the line below the line.

1254 x 627

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Need all answered please

Answers

This has to do with proprotions.

RV is 12

AE/AC = BF/BD

BD/AC = BF/AE

DF/CE = BD/AC

What is proportions?

In mathematics, proportions express the relationship between two ratios.

They compare two equivalent fractions or ratios and state that they are equal, allowing us to solve for unknown values in a proportional relationship.

To solve the equation (24/32) = (RV/16), we can cross-multiply and solve for RV.

Cross-multiplying gives us

24 * 16 = 32 * RV

Simplifying further

384 = 32 * RV

To isolate RV, divide both sides of the equation by 32

384 / 32 = RV

Simplifying the division

12 = RV

Therefore, the value of RV in the equation (24/32) = (RV/16) is 12.

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i am confused on finding the answer i have tried a few times and i do not understand

Answers

Answer:

Volume = 7.912

Step-by-step explanation:

V = πr²h

V = 3.14 × 3/4 × 3/4 × 6 3/4 ( π = 22/7 or 3.14 )

V = 3.14 × 9/16 ×18/4

V = 3.14 × 0.56 × 4.5

V = 7.912

Please help me with question 25. And please include an explanation.

Answers

Answer:

[tex]\Huge \boxed{\Florin f(x) = 2x^{3} - 8x^{2} + 6x}[/tex]

Step 1: Identify the zeros

The given zeros are 0, 1, and 3.

Step 2: Write the factors

Since the zeros are the values of [tex]\bold{x}[/tex] that make the polynomial equal to zero, we can write the factors corresponding to each zero as [tex](x - 0)[/tex], [tex](x - 1)[/tex], and [tex](x - 3)[/tex].

Simplifying the first factor, we get [tex](x)[/tex], [tex](x - 1)[/tex], and [tex](x - 3)[/tex].

Step 3: Multiply the factors

Now, multiply the factors together to form the polynomial:

                             [tex]\Large \boxed{(x)(x - 1)(x - 3)}[/tex]

Expanding this expression, we get:

                             [tex]\Large \boxed{x^{3} - 4x^{2} + 3x }[/tex]

Step 4: Apply the leading coefficient

The leading coefficient is 2, so we need to multiply the entire polynomial by 2:

                           [tex]\Large \boxed{2(x^{3} - 4x^{2} + 3x)}[/tex]

Expanding this expression, we get:

                           

                          [tex]\Large \boxed{2x^{3} - 8x^{2} + 6x}[/tex]

Step 5: Answer

So, the polynomial function in standard form with a leading coefficient of 2 and zeros at 0, 1, and 3 is:

                       

                        [tex]\large \boxed{\Florin f(x) = 2x^{3} - 8x^{2} + 6x}[/tex]

________________________________________________________

the sum of two numbers is 59. the didference between the two numbers is 11 which is the smaller of the two numbers

Answers

The larger number is 35.Let's assume the two numbers are represented by the variables "x" and "y," where "x" is the smaller number.

Equation 1: x + y = 59 (The sum of the two numbers is 59)

Equation 2: x - y = 11 (The difference between the two numbers is 11, with the smaller number being y)

According to the given information, the sum of the two numbers is 59, which can be expressed as:

x + y = 59

The difference between the two numbers is 11, with "x" being the smaller number. This can be expressed as:

y - x = 11

We can now solve these two equations simultaneously to find the values of "x" and "y."

Rearranging the first equation to solve for "y" gives us:

y = 59 - x

Substituting this value of "y" into the second equation:

(59 - x) - x = 11

Simplifying the equation:

59 - 2x = 11

Subtracting 59 from both sides:

-2x = 11 - 59

-2x = -48

Dividing both sides by -2:

x = -48 / -2

x = 24

Therefore, the smaller number is 24. To find the larger number, we substitute the value of "x" into the first equation:

24 + y = 59

y = 59 - 24

y = 35.

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What is the future value of a $400 per year ordinary annuity for ten years at 10 percent? Note: provide answer in full dollars/cents form, e.g., $1,234.56

Answers

Answer:

An ordinary annuity has payments made at the end of each period, while an annuity due has payments made at the beginning of each period.

Now, let's calculate the future value of the annuity due, given that the future value of the ordinary annuity is $100,000 and the interest rate is 5 per cent.

Step 1: Determine the future value factor of the ordinary annuity.

Future Value of Ordinary Annuity (FVOA) = $100,000

Interest Rate (r) = 5% = 0.05

Number of Periods (n) = 5 years

Step 2: Use the FVOA formula to find the annuity payment (PMT).

FVOA = PMT * [(1 + r)ⁿ - 1] / r

$100,000 = PMT * [(1 + 0.05)⁵ - 1] / 0.05

PMT = $18,039.37 (approx.)

Step 3: Calculate the future value of the annuity due (FVAD).

FVAD = PMT * [(1 + r)ⁿ - 1] / r * (1 + r)

FVAD = $18,039.37 * [(1 + 0.05)⁵ - 1] / 0.05 * (1 + 0.05)

FVAD = $105,000 (approx.)

Step-by-step explanation:

Show your work please help me it’s due tomorrow!!!!

Answers

Answer: Consider me the brainiest. The answer is... Decimal form =4.083

Exact form= 49/12

The mixed number form=4 1/12

How do we solve fractions step by step?

Conversion a mixed number 2  1/3 to a improper fraction: 2 1/3 = 2  1/3 = 2 3 + 1/3 = 6 + 1/3 = 7/3

To find a new numerator

A;   Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3

b) Add the answer from the previous step 6 to the numerator 1. The new numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 3.

Two and one-third are seven-thirds.

Conversion a mixed number 1  3/4 to a improper fraction: 1 3/4 = 1  3/4 = 1 · 4 + 3/4 = 4 + 3/4 = 7/4

To find a new numerator:

a) Multiply the whole number 1 by the denominator 4. Whole number 1 equally 1 * 4/4 = 4/4

b) Add the answer from the previous step 4 to the numerator 3. The new numerator is 4 + 3 = 7

c) Write a previous answer (new numerator 7) over the denominator 4. One and three quarters are seven quarters.

Add: 7/3 + 7/4 = 7 · 4/3 · 4 + 7 · 3/4 · 3 = 28/12 + 21/12 = 28 + 21/12 = 49/12 It

is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions.  The common denominator you can calculate as the least common multiple of both denominators - LCM(3, 4) = 12.  It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 4 = 12. In the following intermediate step, it cannot further simplify the fraction result by cancelling.  In other words - seven thirds plus seven quarters is forty-nine twelfths.

Other Questions
information to answer the next two questions: A Nerf ball is launched horizontally from a rooftop and lands on the ground, 3.50 m from the base of the building, in a time of 2.20 s. Question 32 (1 point) The horizontal speed of the ball is 21.6 m/s 1.59 m/s 07.70 m/s 00.0629 m/s Projectile Motion Characteristics Component of Motien 11. Vertical 1 2. Affected by gravity Exhibits form motion 3. Exhibits form accelerated motion 4. Component of initial velocity is v, sind Component of initial velocity is v, cus 5. Question 29 (1 point) Saved The characteristics that apply to the horizontal component of projectile motion are 3 and 5 1,3 and 4 O2 and 5 1,2 and 4 The correct values for I, II, III, and IV, respectively are Components of Vectors x componet Ad 1 II IV. 20 m, 0 m, 26 m, and 15 m -20 m, 0 m, 26 m, and -15 m 20 m, 0 m, -26 m, and 15 m 0 m, -20 m, 26 m, and 15 m O. Question 23 (1 point) Saved The magnitude of the resultant displacement is 7.1 m 1.3 x 10 m 36 m 22 m An Analyst at Standard Bank wants to invest in two stocks, Cresta and Sefalana and has been provided the following information on the stocks. Use the information to answer the questions that follow: State of Economy Probability of State of Economy Rate of Return on Cresta Rate of Return on Sefalana Recession 0.10 5% -10% Normal 0.60 9% 12% Boom 0.30 10% 20% a) Calculate the expected return on stock of Cresta and Sefalana? (6 marks) b) Calculate the variance and standard deviation for stock of Cresta and Sefalana? (8 marks) c) What is the expected return of an equally weighted portfolio of these two stocks? (4 marks) d) Briefly, differentiate between systematic risk and firm specific risk. (2 marks) A router does not know the complete path to every host on the internet - it only knows where to send packets next. a true b. false 1.2 Every destination address matches the routing table entry 0.0.0.0/0 a. True b. False Describe the following regulations that relate to cash management in the public sector and illustrate with the use of examples. 2.5 Responsibilities of the departments. membership in professional associations related to your career may be included in your resume.True or false What is the purpose of filling in the graphic organizer while reading Federalist No. 70?a. To analyze the rhetorical devices used in the text.b. To summarize the main arguments in the document.c. To create a visual representation of the document's structure.d. To engage actively with the text and improve understanding. At the end of its first year of operations, Lockerbie and Role Company has total assets of $3,000,000 and total liabilities of $1,200,000. The owner originally invested $200,000 in the business, but has not made any further investments or taken any withdrawals. What is the first year's profit for Lockerbie and Role Company? Multiple Choicea. $1,600,000 b. $1,800,000 c. $3,000,000 d. $3,200,000 When a change in accounting policy occurs:a.nothing should be done.b.the new policy should only be adjusted prospectivelyc.the new policy should be adjusted retrospectivelyd.the cumulative effect of the change in policy should be reflected on the income statement as of the beginning of the next year. what is the purpose of a Alkenes from alcohols analysis by gas chromatography organic chemistry experiment ? ( a mixture of 2-methyl - 1 butene and 2-methyl - 2 butene by dehydration of 2-methyl - 2-butanol ) the amount of time shoppers wait in line can be described by a continuous random variable, x, that is uniformly distributed from 4 to 15 minutes. calculate f(x). JAVA please 1. Write some statements that write the message "Two Thumbs Up" into a file named Movie Review.txt. Assume that nothing more is to be written to that file. (Do not concern yourself with any possible exceptions here-- assume they are handled elsewhere.)2. Write some statements that write the word "One" into a file named One.txt and the word "Two" into a file named Two.txt. Assume no other data is to be written to these files. (Do not concern yourself with any possible exceptions here-- assume they are handled elsewhere.)3. Write some statements that create a Scanner to access standard input and then read two String tokens from standard input. The first of these is the name of a file to be created, the second is a word that is to be written into the file. The file should end up with exactly one complete line, containing the word (the second token read). Assume no other data is to be written to the file. (Do not concern yourself with any possible exceptions here-- assume they are handled elsewhere.) Stockholders equity is usually equal to cash on hand includes paid-in capital and liabilities Includes retained earnings and paid-in capital Is shown on the income statement Nebraska Inc. issues 3.000 shares of common stock for $45,000. The stock has a stated value of $10 per share. The journal entry to record the stock insurance would induce a credit to Common Stock for In Minsky's theory, all other things being equal, greater measures of leverage in investment result in, O a. Higher profits, with certainty O b. Lower profitability OC. Higher expected profitability and higher risks. Find the work (in foot-pounds) done by a force of 3 pounds acting in the direction 2i +3j in moving an object 4 feet from (0,0) to (4, 0) Jasper makes a $25,000, 90-day, 7% cash loan to Clayborn Co. Jasper's entry to record the transaction should be: Debit Accounts Receivable $25,000; credit Notes Receivable $25,000. Debit Cash $25,000; credit Notes Receivable for $25,000. Debit Notes Receivable for $25,000; credit Cash $25,000. Debit Notes Receivable $25,000: credit Sales $25,000. Debit Notes Payable $25.000; credit Accounts Payable $25,000. Suppose that the following production function is given: Q = 9KL a-) (6 points) For the above production function, find the elasticity of substitution? Find the Returns to Scale. b-) (8 points) Using the above production function: find the labor demand and capital demand as functions of output (Q). price of labor (w) and price of capital (r). Does the Law of Demand hold for each input? Are these inputs normal or inferior inputs in the production process? Are inputs complements or substitutes? Why? c-) (10 points) Find the cost function for the above production function. Verify the properties of the cost function d.) (8 points) Suppose that a firm wants to produce 144 units of output and w=1, r=1. Find long run total cost. Suppose now that wage goes up to 4. Find the new long run total cost. Does firm substitute capital for labor? What is the percentage of cost saving relative to the case where fimm is not able to substitute? e-) (4 points) Suppose that w=1, r=1 and a firm has fixed amount of capital K -16 in short run (SR). Find the short run total cost, average total cost and marginal cost. What would be the short run total cost of producing 144 units. Compare your answer with long run total cost in part d. How and why are they different? the neutralization reaction of potassium hydrogen carbonate and hi produces what gas? Kelly bought an asset for $5,000 and sold it for $15,000 after 9 years. What was the annual rate of return on this investment? The System Development means custom building development and includes selecting, implementing, and integrating packaged software solutions, smaller reusable software components across a variety of platforms with a variety of development tools. There are many obstacles that could impact to Improving System Development Productivity. Name to me three obstacles and explain two of them in detail what volume of water has the same mass as 4.0m34.0m3 of ethyl alcohol?