Taylor has a points card for a movie theater.
She receives 75 rewards points just for signing up.
She earns 6.5 points for each visit to the movie theater.
She needs at least 100 points for a free movie ticket.

Which inequality can be used to determine v, the minimum number of visits Taylor needs to earn her first free movie ticket?

The required rate of return for DAK Corporation is 12.34%.

What is the required rate?

The minimal profit (return) an investor will seek or expect in exchange for taking on the risk of investing in a stock or other type of security is known as the required rate of return (RRR). RRR can also be used to determine a project's potential profitability in relation to its funding costs.

Here, we have

Given Information

Beta =   1.25

The yield on 30-year T bonds (rf)=     5.65%

Return on S&P (rM) =    11%

Required Return for DAK = rf + Beta*(rM - rf)

= 5.65% + 1.25*(11% - 5.65%)

=  12.34%

Hence,  the required rate of return for DAK Corporation is 12.34%.

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To calculate the gain on the sale of the office furniture, we need to determine the asset's book value and compare it to the sale price.

First, let's calculate the accumulated depreciation on the furniture. The furniture was purchased on January 1, 2014, and the straight-line depreciation method is used over 10 years with a salvage value of $80,200.

Depreciation per year = (Cost - Salvage Value) / Useful Life

Depreciation per year = ($746,800 - $80,200) / 10 years

Depreciation per year = $66,160

Next, we need to calculate the accumulated depreciation for the period from January 1, 2014, to May 1, 2021 (the date of the sale). This is approximately 7.33 years.

Accumulated Depreciation = Depreciation per year × Years

Accumulated Depreciation = $66,160 × 7.33 years

Accumulated Depreciation = $484,444.80

Now, we can calculate the book value of the furniture:

Book Value = Cost - Accumulated Depreciation

Book Value = $746,800 - $484,444.80

Book Value = $262,355.20

Finally, we can calculate the gain on the sale:

Gain on Sale = Sale Price - Book Value

Gain on Sale = $300,000 - $262,355.20

Gain on Sale = $37,644.80

Therefore, the gain that should be recognized on the sale of the office furniture is approximately $37,644.80.

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The gain that should be recognized on the sale of the office furniture is $84,080.

The gain is calculated by subtracting the equipment's book value from the sale price. This gain will be reported on the company's income statement. Here is how to calculate the gain:First, find the equipment's book value using the straight-line method of depreciation.

Straight-line depreciation is calculated by taking the difference between the equipment's original cost and its salvage value, and then dividing it by the number of years the equipment is used. The annual depreciation expense is then multiplied by the number of years the equipment is used to find the equipment's book value at the end of its useful life.

For this question, the book value of the equipment at the time of sale is:Cost of equipment: $746,800Salvage value: $80,200Depreciable cost: $746,800 - $80,200 = $666,600Annual depreciation: $666,600 ÷ 10 years = $66,660Book value at the end of 2020: $666,600 - ($66,660 x 7) = $156,420

Next, subtract the equipment's book value from the sale price to find the gain:Sale price: $300,000Book value: $156,420Gain: $143,580Finally, round the gain to the nearest dollar:$143,580 ≈ $143,580.00So the gain that should be recognized on the sale of the office furniture is $84,080.

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Answer:

1 km per minute

Step-by-step explanation:

Because if 30 km in 30 min 1km in 1 min.

The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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5. The constant of proportionality is 1.5

The equation is p = 1.5×s

6. The constant of proportionality is 1.99

The equation is p = 1.99 × a

7. The variables Number of Pens and Cost  are not proportional

Please find attached the required graph

8. The variables Number of minutes and Words Typed are not proportional

Please find attached the required graph

The procedure for finding the answers are as follows;

5. The given data are presented as follows;

\(\begin{array}{ccc}Shirts \ (s)&&Profit \ (p)\\5&&7.50\\10&&15.00\\15&&22.50\end{array}\)

Where two variables, s and p are proportional, we get;

p ∝ s

Therefore;

p = C × s

C = p/s

Where;

C = The constant of proportionality

Therefore, the constant of proportionality, C, of the given variables, (number of shirts, s, and profit, p, is found as follows;

C = 7.50/5 = 15.00/10 = 22.50/15 = 1.5

The constant of proportionality, C = 1.5

The equation that relates the two values is p = 1.5×s

6.  For the apples to price relationship, we have;

\(\begin{array}{ccc}Apples \ (a)&&Price\ (p)\\4&&7.96\\5&&9.95\\6&&11.94\end{array}\)

Therefore;

p ∝ a

p = C × a

C = p/a

Plugging in the values gives;

C = 7.96/4 = 9.95/5 = 11.94/6 = 1.99

The constant of proportionality, C = 1.99

Therefore, the equation relating the two values is p = 1.99 × a

7. The given data is presented in a tabular form as follows;

\(\begin{array}{ccc}Number \ of \ pens &&Cost\ \\1&&52\\2&&54\\3&&56\\4&&58\end{array}\)

A set of data is proportional or has a proportional relationship if their x, and therefore, y-intercept is (0, 0)

From the graph of the data, created with MS Excel, the y-intercept is 50 which is not equal to zero, therefore, the relationship between the data is not a proportional relationship

8. The given data is presented in a tabular form as follows;

\(\begin{array}{ccc}Number \ of \ Minutes&&Words \ Typed\ \\1&&50\\2&&90\\3&&140\\4&&180\end{array}\)

From the graph of the data, we have that the y-intercept of the line of best fir is 5, therefore, the relationship is not a proportional relationship

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Answer:

Step-by-step explanation:

x^-n = 1/x^n

The negative exponent means means raise the reciprocal to the nth power

The decimal number -0.18 expressed in its simplest form is -9/50

Fractions are written as a ratio of two integers. For instance a/b is a fraction.

According to the question, we are to write the decimal -0.18 as a fraction or mixed number.

Convert to fraction

-0.18 = -18/100

Write in its simplest form

-18/100 = -9*2/50*2

The value of 2 will cancel out at both numerator and denominator to have;

-18/100 = -9/50

Hence the decimal number -0.18 expressed in its simplest form is -9/50

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Answer:

2x-12

Step-by-step explanation:

First you distribute the -2 to the x and +3

this will make you expression be:

4x-6-2x-6

you then do -6+-6

this will make your expression be:

4x-12-2x

After you get this you have to combine like terms. the like terms in the expression are the two with x being you variable. 4x and -2x.

Once you have combined like terms your solution should be:

2x-12

The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.

To calculate the amount of money that Maura spends on each scarf the following is carried out.

The amount of money that she spends on the scarf material = $5.50

The percentage selling price of each scarf = 600% of $5.50

That is ;

= 600/100 × 5.50/1

= 3300/100

= $33.

Therefore, each price that is sold by Maura would probably cost a total of $33.

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Answer:

Our problem is \(x^2-2x+6=0\), but as we can see, we are unable to factor. We have to use the quadratic equation to solve.

\(x^2-2x+6=0\)

\(\frac{-b+-\sqrt{b^2-4ac}}{2a}\)

Positive Quadratic Formula:

\(\frac{-(-2)+\sqrt{(-2)^2-4(1)(6)}}{2(1)}\)

\(=\frac{2+\sqrt{4-24}}{2}\\=1+\frac{\sqrt{-20}}{2}\)

Negative Quadratic Formula:

\(\frac{-(-2)-\sqrt{(-2)^2-4(1)(6)}}{2(1)}\)

\(=\frac{2-\sqrt{4-24}}{2}\\=1-\frac{\sqrt{-20}}{2}\)

Since both of our answers are the square root of a negative number, we know that the quadratic equation has no real solution.

*We could have also used the Discriminant Test to determine whether the quadratic equation has real roots or not. However, for our means, the quadratic equation seems enough.

Answer:

D. No real Solution

Step-by-step explanation:

Hello!

Let's use the quadratic formula: \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

In our equation:

This comes from the standard form of a quadratic: \(ax^2 + bx + c\)

Now, solve:

Since the radicand (-5) is negative, there are no real solutions. The correct answer is Option D.

Answer:

Step-by-step explanation:

Arc length=∅/360×2πr (can't find the symbol of theta, use ∅ instead LOL)

\(\frac{\theta }{360}\cdot 2\pi \left(11\right)=16\)

\(\frac{\theta }{360}=\frac{16}{22\pi }\)

\(\theta \:=\frac{16}{22\pi \:}\cdot 360\)

\({\theta}=83.34\)

Answer:

≈ 1.5 radians

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

Here arc = 16 , then

2πr × \(\frac{0}{2\pi }\) = 16 ← cancel the 2π on numerator/denominator

11 ×θ = 16 ( divide both sides by 11 )

θ ≈ 1.5 radians ( to the nearest tenth )

Answer:  how to do it without decimals but I will do some research later after I will change my answer

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

if you divide 6 by -2 you will end up with -3, so then you will divide -2 by -2 and you will get 1.

Answer:

8x+8(y)/(x^(2))=x^(2)-(y^(2))/(x^(2))

x^(2)-(y^(2))/(x^(2)) = x^(2)-(y^(2))/(x^(2))

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

Whenever there's a perfectly straight vertical line, its classifies as undefined

The astronaut swings the hammer in one direction, an equal and opposite force acts on the astronaut in the opposite direction.    

The astronaut swings the hammer to hammer the loose rivet back in place outside the spaceship, they will experience an equal and opposite force known as "reaction force" as described by Newton's Third Law of Motion.

This means that for every action (force) in one direction, there is an equal and opposite reaction (force) in the opposite direction.

The astronaut swings the hammer, they will experience a small amount of recoil or pushback in the opposite direction.

The magnitude of the reaction force will be equal to the force exerted by the hammer on the rivet, but in the opposite direction.

The effect of this recoil on the astronaut will depend on the mass of the astronaut and the force exerted by the hammer.

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The quadrilateral is plotted on the graph

Given data ,

Let the quadrilateral be represented as UVWX

Now , the coordinates of the quadrilateral are

U (2,-5), V (6, 2), W (-1,6) and X (-5, -1)

Now , the distance between the points is given by the distance formula ,

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

D = √ ( 6 - 2 )² + ( -5 -2 )²

D = √ ( 4 )² + ( 7 )²

D = √ ( 16 + 49 )

D = √65 units

And , the distance between VW is given by

D = √ ( 6 + 1 )² + ( 2 - 6 )²

D = √ ( 7 )² + ( 4 )²

D = √ ( 16 + 49 )

D = √65 units

Hence , the quadrilateral is a square

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Step-by-step explanation:

(6x+4)+(4x+26)+110°=180°{straight angle}

10x+140=180°

10x=180-140

x=40/4

x=10

(6x+4)=(6×10+4)=(60+4)=64°

(4x+26)=(4×10+26)=40+26=66°

hope it helps.

Answer:

6x+4+4x+26+110=180 straight line

10x=180-140

x=40/10=4

<A=4x+26=4×4+26=42

Answer:

20 cm.

Step-by-step explanation:

In order to find the height, we need the volume and the base area first. We are already given the volume so we need to find the base area.

A = 18 · 5 = 90

Now that we know the base area is 90 cm², we can substitute the information into the equation to solve for the height.

V = 1/3(A)(h)

600 = 1/3(90)(h) (Given)

600 = 30h (Simplified)

20 = h (Divided 30 on both sides)

Therefore, the height is 20 cm.

Answer:

1.) The 1ˢᵗ three term is (-32), (-7) and 18

2.) The 1ˢᵗ three term is 127, 106 and 85

Step-by-step explanation:

Here,

First Term = a₁ = - 32

Common Difference = (d) = 25

Now, For 1ˢᵗ three term,

n = 1

a₁ = - 32

n = 2

aₙ = a + (n - 1)d

a₂ = (-32) + (2 - 1) × 25

a₂ = (-32) + 1 × 25

a₂ = (-32) + 25

a₂ = -7

n = 3

aₙ = a + (n - 1)d

a₃ = (-32) + (3 - 1) × 25

a₃ = (-32) + 2 × 25

a₃ = (-32) + 50

a₃ = 18

Thus, The 1ˢᵗ three term is (-32), (-7) and 18

Here,

First Term = a₁ = 127

Common Difference = (d) = -21

Now, For 1ˢᵗ three term,

n = 1

a₁ = 127

n = 2

aₙ = a + (n - 1)d

a₂ = 127 + (2 - 1) × (-21)

a₂ = 127 + 1 × (-21)

a₂ = 127 - 21

a₂ = 106

n = 3

aₙ = a + (n - 1)d

a₃ = 127 + (3 - 1) × (-21)

a₃ = 127 + 2 × (-21)

a₃ = 127 - 42

a₃ = 85

Thus, The 1ˢᵗ three term is 127, 106 and 85

-TheUnknownScientist

To graph g(x) based on the given limits and graph of f(x) as shown in Figure 2, we need to find the values of g(x) that make the limit equations true.

The limit equations are: lim as x approaches -1 from the left side of g(x) = 2lim as x approaches -1 from the right side of g(x) = 1lim as x approaches 0 from the left side of g(x) = 1lim as x approaches 0 from the right side of g(x) = 1lim as x approaches 1 from the left side of g(x) = 3lim as x approaches 1 from the right side of g(x) = -1Therefore, we can plot the points (-1, 2), (-1, 1), (0, 1), (0, 1), (1, 3), and (1, -1) on the y-axis corresponding to the x-values -1, 0, and 1. Then, we can connect these points with straight lines to get the graph of g(x) as shown in Figure 2. Main answer:The graph of g(x) is shown in Figure 2.The given limits are used to obtain the values of g(x) at x = -1, 0, and 1. We then plot these values on the y-axis corresponding to the x-values -1, 0, and 1. The resulting points are connected with straight lines to get the graph of g(x).

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The constant, 0.9985 in the exponential function, f(x) = 200·(0.9985)^t reveal that the rate of change of the quantity being measured, reduces as the number of months increases

An exponential function is one that has the argument as an index value of a constant within the function.

The specified function is presented as follows;

\(f(t) = 200\cdot (0.9985)^t\)

The above function is an exponential function, of the form; f(x) = a·bˣ

Where; a ≠ 0, b > 0, and b ≠ 1

The starting amount or initial value = a

The y-intercept = (0, a)

The growth factor or decay factor = b = 1 + r

r = The rate of growth or decay

r = b - 1

If the value of b > 1, the growth rate r > 0, the exponential function represents an exponential growth and the value of the output increases exponentially

If the inequality, 0 < b < 1 holds, then r < 0, and the function is an exponential decay function

Comparing the function, \(f(t) = 200\cdot (0.9985)^t\), and the general form of the exponential function, f(x) = a·bˣ, we get;

The exponential growth or decay factor, b, corresponds with 0.9985

Therefore, in the specified function, b < 1, and the function represents an exponential decay function.

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Answer:

Option 2 is the answer

Step-by-step explanation:

BTW not to intrude on your life, but  

I strongly suggest that kids between years old shouldn't have FF ecause it's not suitable. 

children with lack of life experience and there brain aren't fully mature yet.

The slides' result includes utility functions that are homogeneous of any degree, which covers the case of utility functions that are homogeneous of degree one mentioned in statement (a).

(a) To prove that a continuous preference relation is homothetic if and only if it can be represented by a utility function that is homogeneous of degree one, we need to show the two-way implication. If a preference relation is homothetic, it implies that there exists a utility function that is homogeneous of degree one to represent it. Conversely, if a utility function is homogeneous of degree one, it implies that the preference relation is homothetic.

(b) The result mentioned in the lecture slides states that any preference relation represented by a utility function that is homogeneous of any degree is homothetic. This statement is more general because it includes the case of utility functions that are homogeneous of degree other than one. So, the lecture slides' result encompasses the specific case mentioned in statement (a) as well.

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Displacement is the length of the straight line drawn from an object’s initial position to the object’s final position

The term "displacement" refers to a change in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial position to the ending position. For instance, if an object shifts from position A to position B, its position changes.

If an object moves with respect to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right with respect to a whiteboard, the object's position changes. This change in location is described as displacement.

The displacement is the shortest distance between an object's initial and final positions. Displacement is a vector. It is visualized as an arrow that points from the initial position to the final position, indicating that it has both a direction and a magnitude.

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As a result, the statements regarding the function f(x) =\(x^{2} -36\) are all correct.

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The formula f(x) = \(x^{2} -36\) can be used to support a number of claims.

Because the function is cubic, its graph is a parabola.

The curve rises because the x2 term's coefficient is positive.

The graph crosses the y-axis at y = -36 because the constant factor is equal to -36.

Setting f(x) = 0 and figuring out the value of x will reveal the function's roots:

\(x^{2} -36\\x^{2} = 36\)

x = ±6

Consequently, x = -6 and x = 6 are the function's bases.

Filling in the rectangle will reveal the vertex of the parabola:

f(x) =\(x^{2} -36\)

= (\(x^{2}\) - 36 + 81) - 81

= \((x-9)^{2}\) - 81

Therefore, the parabola's apex is (-9, -81).

The function is symmetric about the vertical line that passes through its apex.

Since the function's minimum value is -81 and its maximum value rises without limit as x approaches infinity in either direction, the range of the function is all real numbers greater than or equal to -36.

Consequently, the function f(x) = \(x^{2} -36\) fulfills all of the aforementioned criteria.

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Answer:

b

Step-by-step explanation:

got it right on edge 2022

From the sample that we have here the conditions for constructing the t confidence is not met because:  the 10% condition is not met.

For the confidence interval to be constructed, the assumptions and conditions that must first be fulfilled are:

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The sinusiodal function created from 2 given points is y = 3 sin (πx + 90) + 3

From the case, we have:

Minimum point = (-3,0)

Maximum point = (-9,6)

The sinusoidal fuction would be in the form of:

y = A sin (Bx - C) + D

where:

A = amplitudo

B = 2π / Period

C = Phase shift

D = Midline

First, we need to find the amplitudo:

A = (Y max - Y min) / 2

A = (6 - 0) / 2

A = 3

Periode = (X max - X min) x 2

Periode = (-9 - (-3) x 2

Periode = -6

B = 2π / Periode

B = 2π / 6

B = 1/3 π

D = (Y max + Y min) / 2

D = (6 + 0) / 2

D = 3

We can use one point to find the value of C:

0 = 3 sin (π/3 (-3) - C) + 3

0 = 3 sin (π - C) + 3

-3 = 3 sin (π - C)

sin (π - C) = -1

(π - C) = 270

C = -1/2 π

C = - 90

Then the sinusiodal function would be:

y = 3 sin (πx + 90) + 3

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