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3 years ago

7. Evaluate 4P2 O 22 O 12 O 14 5

Mathematics

1 answer:

Reika [66]3 years ago

5 0

Answer:

Step-by-step explanation:

To evaluate 4P2, we will use the permutation formula as shown;

nPr = $\frac{n!}{(n-r)!}$

4P2 = $\frac{4!}{(4-2!}$

$= \frac{4!}{2!} \\= \frac{4*3*2!}{2!}\\ = 4*3\\= 12$

4P2 = 12

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3 years ago

Write each equation in slope-intercept form. underline the slope and circle the y-intercept in each equation 5x+3y=30

faust18 [17]

Answer:

The slope is

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graph{y=5/3x-10 [-10, 10, -5, 5]}

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3 years ago

Read 2 more answers

Coulter Supply has a total debt ratio of .46. What is the equity multiplier? Select one: a. .89 b. 1.17 c. 1.47 d. 1.85 e. 2.17

Archy [21]

Answer:

Option D.

Step-by-step explanation:

The formula for total debt ratio is

$\text{Total debt ratio}=\dfrac{\text{Total assets - Total Equity}}{\text{Total assets}}$

It can be rewritten as

$\text{Total debt ratio}=1-\dfrac{\text{Total Equity}}{\text{Total assets}}$ .... (1)

We know that,

$\text{ Equity multiplier}=\dfrac{\text{Total Equity}}{\text{Total assets}}$ ... (2)

Using (1) and (2) we get

$\text{Total debt ratio}=1-\dfrac{1}{\text{Equity multiplier}}$

Substitute total debt ratio=0.46 in the above equation.

$0.46=1-\dfrac{1}{\text{Equity multiplier}}$

$0.46-1=-\dfrac{1}{\text{Equity multiplier}}$

$-0.54=-\dfrac{1}{\text{Equity multiplier}}$

$\text{Equity multiplier}=-\dfrac{1}{-0.54}$

$\text{Equity multiplier}=1.85185185$

$\text{Equity multiplier}\approx 1.85$

Therefore, the correct option is D.

7 0

3 years ago

Simplify. 3^2+ (9-8/2)

solmaris [256]

Hi there! Hopefully this helps!

-----------------------------------------------------------------------------------------------------------

Answer: 14.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

First we calculate 3 to the power of 2 and get 9.

9 + 9 - $\frac{8}{2}$ = 14.

Now we add 9 + 9 to get 18.

18 - $\frac{8}{2}$ = 14.

Then, we divide 8 by 2 to get 4.

18 - 4 = 14.

Then we subtract 4 from 18 to get.....You guessed it, 14!

3 0

3 years ago

Read 2 more answers

Can someone please help me with this

LenKa [72]

Just guess and check. For example, for the first on the left, I guessed 3 to begin with. 3 + 3 + 3 = 9, but 10 + 3 = 13, so 3 is not the answer. I then guessed 5. 5 + 5 + 5= 15, and 10 + 5= 15, so star = 5.

4 0

3 years ago