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Harlamova29_29 [7]
3 years ago
13

A company has $14,000 in liabilities and $15,000 in equity. Calculate the company's debt to equity ratio as a percentage.

Mathematics
1 answer:
liberstina [14]3 years ago
5 0

The required debt-equity ratio is 14:15

<u>Solution:</u>

<em>Given:</em>

Liabilities of the company = $14000

Equity of the company = $15000

<em>To calculate: </em>The debt-equity ratio

Here, the liabilities are included in the debt of the company. The debt-to-equity (D/E) ratio is calculated by dividing a company's total liabilities by its shareholder equity. Therefore, the debt equity ratio is as follows,

\text { Debt Equity ratio }=\frac{\text { Debt }}{\text { Equity }}=\frac{14000}{15000}=\frac{14}{15}

\text { Debt Equity ratio }=\frac{14}{15} \rightarrow 14: 15

The debt-equity ratio reflects the ability of shareholder equity to cover all outstanding debts in the event of a business downturn.

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Rami is sketching drawings for his friends. He creates 5 sketches each hour. Write a ratio, in lowest terms, that compares the n
Nutka1998 [239]

Answer:

  1 : 12 . . . . sketches : minutes

Step-by-step explanation:

We know 1 hour is 60 minutes, so the given numbers can be written as ...

  5 sketches : 60 minutes

and reduced by dividing by 5 to get the ratio ...

  sketches : minutes = 1 : 12

7 0
3 years ago
I need help proving this ASAP
Ket [755]

Answer:

See explanation

Step-by-step explanation:

We want to show that:

\tan(x +  \frac{3\pi}{2} )  =  -   \cot \: x

One way is to use the basic double angle formula:

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{ \sin(x)  \cos( \frac{3\pi}{2} )  +   \cos(x)  \sin( \frac{3\pi}{2}) }{\cos(x)  \cos( \frac{3\pi}{2} )   -    \sin(x)  \sin( \frac{3\pi}{2}) }

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{ \sin(x) ( 0)  +   \cos(x) (  - 1) }{\cos(x) (0)   -    \sin(x) (  - 1) }

We simplify further to get:

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{ 0  -   \cos(x) }{0 +    \sin(x) }

We simplify again to get;

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  \frac{- \cos(x) }{ \sin(x) }

This finally gives:

\frac{ \sin(x +  \frac{3\pi}{2} ) }{\cos(x +  \frac{3\pi}{2} )}  =  -  \cot(x)

6 0
4 years ago
Write 15 1/4% as a fraction in simplest form
Helga [31]

Rewrite 15 1/4% as 15.25%.   To obtain the desired fraction, divide this 15.25% by 100%:

0.1525

This could be reduced to 61/400, which was obtained by first writing 0.1525 as 1525/10000.

3 0
3 years ago
I'm giving 30 points if you answer correctly!
soldi70 [24.7K]

Answer:

Part A: 64 (right-side 3th cell) and 7 (left-side 4th cell)

Part B: 5 hours- $45; 6 hours- $54; 8 hours- $72

Part C: $5 more

Step-by-step explanation:

Explanation for Part C- We know that if she works 5 hours mowing lawns, she will earn $40. But, when she works at the theme park we use the ratio given to find out how much she earn per hour. In her case she earns $9 for every hour she works at the theme park. now if you multiply that by 5 we can find out how much she earns in 5 hours which is $45. This is $5 more than what she earns mowing lawns for the same amount of time. Here we can conclude that Barbara earns $5 dollars more working at the theme park for 5 hours rather that mowing lawns.

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4 0
3 years ago
Which student's work is correct? Explain please
Lunna [17]

Step-by-step explanation:

Wendy

-20 = x/2 + 7

-20 -7 = x/2 + 7 -7

-27 = x/2

-54 = x

x = -54

because it's math rule

8 0
3 years ago
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