What is the return on equity for a firm with 15% return on assets, 10% return on debt, and a .75 debt/equity ratio?

The lateral area of the prism is 270cm²

What is the lateral area of a prism?

The lateral area of a prism is defined as the sum of the areas of its lateral faces.

Using the formula;

Lateral area = (a+ b+ c) h

Where a, b, c, are all the lateral faces and h is the height

Lateral area = (8 + 6 + 13) × 10 = 27 × 10 = 270cm²

Therefore, the lateral area of the prism is 270cm²

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Using the normal distribution, it is found that approximately 79.67% of the bags weigh 3.00 ounces or more​.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 3.05, \sigma = 0.06[/tex]

The proportion of the bags that weigh 3.00 ounces or more​ is one subtracted by the p-value of Z when X = 3, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{3 - 3.05}{0.06}[/tex]

Z = -0.83

Z = -0.83 has a p-value of 0.2033.

1 - 0.2033 = 0.7967 = 79.67%.

79.67% of the bags weigh 3.00 ounces or more​.

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answer:

c

step by step explanation:

I did it on edge.

Answer:

36

Step-by-step explanation:

40 % of 60 = 24

60-24=36

Answer:

Which class is this

I can't believe the question

Answer:

P(1+[tex]\frac{r}{100}[/tex])ⁿ

600(1+[tex]\frac{5}{100}[/tex])¹

600(1+0.05)¹

600(1.05)

630

Note:

P= participle

R= rate

N= years

Answer:

93,600

Step-by-step explanation:

4x104= 416

416x225 = 93,600

Answer:

[tex]2sin(x)cos^2(x)[/tex]

Step-by-step explanation:

To solve the problem, you must expand the trigonometric expression using the information given.

[tex]sin(2x)cosx\\sin(2x)\\=2sin(x)\\=2sin(x)cos^2(x)[/tex]

Answer:

$8

Step-by-step explanation:

Let f = 1 kg of French Roast coffee

Let b = 1 kg of Boxer Blend coffee

Given:

⇒ f + b = 14

Given:

⇒ 2f + 3b = 36

Rewrite the first equation to make f the subject:

⇒ f + b = 14

⇒ f = 14 - b

Substitute this into the second equation and solve for b:

⇒ 2f + 3b = 36

⇒ 2(14 - b) + 3b = 36

⇒ 28 - 2b + 3b = 36

⇒ 28 + b = 36

⇒ 28 + b - 28 = 36 - 28

⇒ b = 8

Therefore, the price of 1 kg of Boxer Blend coffee is $8

Answer:

60 dkm = 6km

Step-by-step explanation:

10 dkm = 1 km

60 dkm = 60/10 km = 6 km

The angle that defines the arc is 1.57 radians or 90°.

For a circle of radius R, the length of an arc defined by an angle θ in radians is given by:

L = θ*R.

Here we know that the radius is R = 7cm, and the length of the arc is  10.99 cm. Replacing these in the above equation:

10.99 cm = θ*7cm

θ = (10.99 cm/7 cm) = 1.57

Then the angle is 1.57 radians. Remember that:

3.14 radians = 180°

Then:

θ = (1.57/3.14)*180° = 90°

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[tex]\\ \rm\Rrightarrow \ell=\dfrac{\Theta}{180}\pi r[/tex]

[tex]\\ \rm\Rrightarrow \Theta=\dfrac{180\ell}{r\pi}[/tex]

[tex]\\ \rm\Rrightarrow \Theta=\dfrac{180(10.99}{7(3.14)}[/tex]

[tex]\\ \rm\Rrightarrow \Theta=\dfrac{1978.2}{7\pi}[/tex]

[tex]\\ \rm\Rrightarrow \Theta=90^{\circ}[/tex]

I apologize for the handwriting it's not the best :)

Answer:

42

Step-by-step explanation:

We need to find the Least Common Multiple (that isn't 0) between 6 and 7. To do this, list each number's multiples.

Multiples of 6: 0, 6, 12, 18, 24, 30, 36, 42, 48, 54

Multiples of 7: 0, 7, 14, 21, 28, 35, 42, 49, 56, 63

Their LCM is 42. Now, we multiply the fractions so the denominators are both 42. !You have to multiply both the numerator and denominator by the same number! For 6, 6*7 is 42, so you multiply both 6 and 5 by 7. When you do this, you get 35/42. For 7, 7*6 is 42, so you have to multiply both 7 and 2 by 6. When you do this, you get 12/42. The new problem is 35/42-12/42.

Hope this helps!

Answer:

The angle of the figure is 90°

Answer: the coordinates of D'

Step-by-step explanation:

Reflections are rigid motions, so area and perimeter are preserved.

However, the preimage of a point is only the same as the image of that same point if that point is the center of rotation. Since point D is not the center of rotation, the coordinates of D' will not be the same as those of D.

Check the picture below.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~4 - (-2)~~)^2 + (~~1 - (-4)~~)^2} \implies d=\sqrt{(4 +2)^2 + (1 +4)^2} \\\\\\ d=\sqrt{( 6 )^2 + ( 5 )^2} \implies d=\sqrt{ 36 + 25 } \implies d=\sqrt{ 61 }[/tex]

Answer:

Step-by-step explanation:

Keesha would say the ball is traveling at 7 km/h. The correct option is the second option 7 km/h

Relative velocity is defined as the velocity of an object with respect to another observer.

From the question, we are to determine how fast Keesha would say the ball is traveling. That is, the relative velocity

Relative velocity of the ball = 12 km/h - 5 km/h

Relative velocity of the ball = 7 km/h

Hence, Keesha would say the ball is traveling at 7 km/h. The correct option is the second option 7 km/h

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Answer:

7 km/h

Step-by-step explanation:

Answer:

[tex]\frac{2^{20} }{3^{8} }[/tex]

Step-by-step explanation:

Exponent Multiplication Rule :

[tex](\frac{x^{a} }{y^{b} } )^{c} = \frac{x^{ac} }{y^{bc} }[/tex]

=============================================================

Solving :

⇒ [tex](\frac{2^{5} }{3^{2} } )^{4}[/tex]

⇒ [tex]\frac{2^{5(4)} }{3^{2(4)} }[/tex]

⇒ [tex]\frac{2^{20} }{3^{8} }[/tex]

Answer:

yes

Step-by-step explanation:

independence means the object or so are completely unreliant of eachother or does not have order.

for example a dependent situation would be sports players getting picked because there is order.

Step-by-step explanation:

[tex] \frac{1}{2} + \frac{1}{4} = \frac{2}{4} + \frac{1}{4} = \frac{3}{4} [/tex]

[tex] \frac{3}{4} 36 = 27[/tex]

Answer:

the sample proportion is 26:50then if it simplyfy answer is13:25

Answer:

Knowledge > Probability

Step-by-step explanation:

In the moment knowledge would be useful because you are thinking about the decision you are making but after days, months or years probability would be in your mind. Also probability is just another word for chance so there would be no confirmation of said thing happening but when you have knowledge your brain knows that said thing is 100% going to happen, so for me personally knowledge is more useful than probability

Answer:C Or 210 Sc

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

Given :

-3(4n+1) < -6(2n-6)

Divide by -3 on each side (and remember to change the sign) :

-1/3 x -3(4n+1) < -1/3 x -6(2n-6)

4n + 1 > 2(2n - 6)

Expand the RHS :

4n + 1 > 2(2n) - 2(6)

4n + 1 > 4n - 12

Solution :

As the coefficient of x is the same on both sides, and the constants are different, this inequality has no solution

Answer:

Given inequality:

-3(4n + 1) < -6(2n - 6)

Expand the brackets:

⇒ -12n - 3 < -12n + 36

Add 12n to both sides:

⇒ -12n - 3 + 12n < -12n + 36 + 12n

⇒ -3 < 36

Solution:  True for all n

Interval Notation: (-∞, ∞)

Answer:

  D)  10 units

Step-by-step explanation:

Opposite sides of a parallelogram are congruent.

__

The relation between opposite sides tells you ...

  BC = AD

  2x = x +5

  x = 5 . . . . . . . subtract x from both sides of the equation

We want the length of AD, which is ...

  AD = x +5 = 5 +5

  AD = 10

_____

Additional comment

Often, it seems like the question is answered once the value of x is found. Here, finding the value of x is an intermediate step. The value of x is needed in order to be able to answer the question about the value of an expression involving x.

Answer:

10

Step-by-step explanation:

→ Equate both sides of the parallelogram as they are equal

2x = x + 5

→ Solve

x = 5

→ Resubstitute for the length AD

5 + 5 = 10

Answer:

d

Step-by-step explanation:

the y- intercept is the point on the y- axis where the graph crosses

the graph crosses the y- axis at point (0, - 9 )

then y- intercept = (0, - 9 )

Answer:

A

Step-by-step explanation:

To find the transformation, we need to take a point and the point to which it has been translated.

Let's take A and A'.

⇒ A = (2, -2)

⇒ A' = (-2, 1)

Change in x : -4 (shifted 4 units left)

Change in y : 3 (shifted 3 units up)

This means to obtain A'B'C'D' from ABCD, the graph has to be :

shifted 4 units left and 3 units up