tai sao khi định hướng chiến lược cho quá trình thiết kế các dự án, doanh nghiệp phải xác định mục tiêu cho dự án

a boy is three years younger than his sister. two years ago he was two-thirds of his sister's age. what are their present ages

padilas [110]

Answer:

The boy: 8 years old

The sister: 11 years old

Explanation:

We assume that the age at present of the boy is x (years old).

As he is younger than his sister 3 years, so that his sister's present age is great than x 3 years

=> Her present age is: x + 3 (years old)

Two years ago, the boy is younger than present two years

=> The boy's age two years ago is: x - 2 (years old)

Similarly, the sister's age two years ago is: (x+3)-2 = x + 1 (years old)

As given, two years ago he was two-thirds of his sister's age, so that we have:

<em>The boy's age two years ago = </em> $\frac{2}{3}$ <em> × the sister's age two years ago</em>

⇒ $x - 2 = \frac{2}{3}(x+1)$

⇒ $x - 2 = \frac{2}{3}x + \frac{2}{3}$

⇒ $x - \frac{2}{3}x = \frac{2}{3} + 2$

⇒ $\frac{1}{3} x = \frac{8}{3}$

⇒ $x = \frac{8}{3}. 3 = 8$

=> x + 3 = 8 + 3 = 11

So the present age of the boy is 8 years old, of the sister is 11 years old

5 0

3 years ago

How does a company build its strategic management game plan to attract and please customers, compete successfully, conduct opera

klio [65]

Explanation:

It is necessary for companies to develop a strategic business plan, which contains the action plans necessary for an organization to achieve its objectives and goals.

The organization's strategic planning will comprise long-term objectives, including the company's guidelines, its mission, vision and values, the analysis of internal and external environments, and action plans, which will help the company to be well positioned, profitable and competitive in the market.

4 0

3 years ago

Monetary policy could be procyclical if the Federal Reserve: a) is late recognizing that a recession has begun and conducts expa

gladu [14]

A) is late recognizing that a recession has begun and conducts expansionary monetary policy.

6 0

3 years ago

The following events occurred for Johnson Company: a. Received investment of $39,000 cash by organizers and distributed 1,190 sh

soldi70 [24.7K]

Answer:

Cash 39.000 debit

Common Stock 1,190 credit

Additional Paid-in 37,810 credit

Equipment 7,100 debit

Cash 1,300 credit

Note payable 5,800 credit

Cash 15,000 debit

Note payable 15,000 credit

Explanation:

We debit the cash received and credit the face value of the common stock

the difference is label as additional paid-in common stock which, is also credited.

as the equipment is worth 7,100 and we paid 1,300 cash the differnece: 7,100 - 1,300 = 5,800 is the principal of the note signed

As the equipment which enters the firm is an asset it wil lbe debited.

the cash is being used thus, credited and the note is a liability hence credit as well

the third event consist of a inflow of cash thus debit and taking a liability therefore, credit.

8 0

3 years ago

Bedekar, Inc., has an issue of preferred stock outstanding that pays a $3.40 dividend every year in perpetuity. If this issue cu

Ainat [17]

Answer:

i=4.84%

Explanation:

the key to answer this question, is to remember the model of return for a perpeuity dividend calculation:

$Value=\frac{1}{i-k}$

where value is the current stock price, i is the dividend yield and k is the growth rate, so applying to this particular case we have

k=3.4/91

k=3.74%

and solving i for the previous formula:

$91=\frac{1}{i-0.0374}$

$0.01098={i-0.0374}$

$i=4.84\%$

8 0

3 years ago