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Nataly [62]
3 years ago
5

Resolve (7x+19)/(x+1)(x+5) into partial fraction​

Business
1 answer:
Volgvan3 years ago
5 0

Answer:

\dfrac{7x+19}{(x+1)(x+5)}=\dfrac{3}{x+1}+\dfrac{4}{x+5}

Explanation:

The given expression is  

\dfrac{7x+19}{(x+1)(x+5)}

We need to resolve this into partial fraction.

The form of the partial fraction decomposition is

\dfrac{7x+19}{(x+1)(x+5)}=\dfrac{A}{x+1}+\dfrac{B}{x+5}        ...(1)

\dfrac{7x+19}{(x+1)(x+5)}=\dfrac{A(x+5)+B(x+1)}{(x+1)(x+5)}

7x+19=Ax+5A+Bx+B

7x+19=(A+B)x+(5A+B)

On comparing both sides, we get

A+B=7      ...(2)

5A+B=19    ...(3)

Subtract (2) from (3), we get

4A=12

A=3

Put A=3 in (1).

3+B=7

B=4

Put A=3 and B=4 in (1).

\dfrac{7x+19}{(x+1)(x+5)}=\dfrac{3}{x+1}+\dfrac{4}{x+5}

Therefore, \dfrac{7x+19}{(x+1)(x+5)}=\dfrac{3}{x+1}+\dfrac{4}{x+5} .

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The December 31, 2009, balance sheet of Anna’s Tennis Shop, Inc., showed current assets of $2,584 and current liabilities of $1,
Igoryamba

Answer: ($203)

Explanation:

The company’s 2010 change in net working capital will be calculated thus:

Net working capital = current assets - current liabilities

For 2009, net working capital will be:

= $2,584 - $1,191

= $1393.

For 2010, net working capital will be:

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Change in net working capital will be:

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6 0
3 years ago
Mahogany inc. is a consulting firm. it reports its results on a cash-basis with a fiscal year ending june 30th. mahogany perform
Dimas [21]
<span>If these are the missing choices:
</span>A  :  the Securities and Exchange Commission, income principle  
<span>B  : GAAP, revenue recognition principle 
C  : GAAP, expense recognition principle 
D  : the IRS, tax principle </span><span>

My answer is: </span><span>B  : GAAP, revenue recognition principle  
</span><span>
The cash-basis is not in accordance with GAAP, and mahogany is in violation of the REVENUE RECOGNITION PRINCIPLE.

GAAP refers to Generally Accepted Accounting Principle. 

It is stated that income must be recognized when it is earned not when cash is received. Because the company is using cash-basis, they will only report income earned on July 12 when they received the money not when they earned it which is before their fiscal year ending June 30. 
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6 0
3 years ago
You are saving for a Porsche Carrera Cabriolet, which currently sells for nearly half a million dollars. Your plan is to deposit
nordsb [41]

Answer:

a.) $217,298.44

b.) $253,514.84.

c.) $239,061.37 .

Explanation:

<u>a. Determine how much you will have saved after 10 years</u>

This is an ordinary annuity question and you are required to find the Future value (FV) at year 10. Using a financial calculator, key in the following inputs;

Total duration of investment; N = 10

Recurring payment; PMT = -15,000

Interest rate ; I/Y = 8%

PV = 0

then compute Future value;  CPT FV = 217,298.437

Therefore, in 10 years, you will have saved $217,298.44 which does not meet your goal of half a million dollars.

<u>b. Determine the amount saved if you were able to deposit $17, 500 each year.</u>

With the recurring payment increasing to 17,500 per year and the interest rate remaining at 8%, find the new Future value by keying in the following inputs;

Recurring payment; PMT = - 17,500

Interest rate ; I/Y = 8%

Total duration of investment; N = 10

PV = 0

then compute Future value;  CPT FV = 253,514.843

Therefore, in 10 years, you will have saved $253,514.84.

<u>c. Determine the amount saved if you deposit $15,000 each year, but with 10 percent interest.</u>

It is still an ordinary annuity question , however, the recurring payment(PMT) will be 15,000 as before but with an annual interest rate(I/Y) of 10%.  Using a financial calculator, key in the following inputs;

Total duration of investment; N = 10

Recurring payment; PMT = -15,000

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then compute Future value;  CPT FV = 239,061.369

Therefore, in 10 years, you will have saved $239,061.37 .

7 0
2 years ago
Roberta is a customer service representative at a car rental company. Read the passage. Which actions might lead to increased cu
pochemuha

Answer:

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Another strategy is to use surveys after the calls to know what are the opinions of clients regarding services. It allows to identify improvement opportunities.

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3 years ago
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Answer:

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