I need help with these questions.

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:

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

⇒ $x - 2 = \frac{2}{3}(x+1)$

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

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

⇒ $\frac{1}{3} x = \frac{8}{3}$

⇒ $x = \frac{8}{3}. 3 = 8$

=> 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

As a result of cash flow shortages, Washington Department Stores has fallen behind in payments to suppliers. Some suppliers are

xenn [34]

Answer:

The correct answer is letter "D": short-term financing.

Explanation:

Short-term financing allows companies to obtain capital for their day-to-day operations. The funds obtained are typically used for the transactions companies require during one period -one year, but the term for payment tends to be within six (6) to twenty-four (24) months. Under this scenario, the main purpose of firms is to keep their businesses up and running and obtain profits enough for the payment of the loan and reinvestment in the company.

7 0

2 years ago

In a pure market economy, the "What to produce?" question is ultimately answered by:

Genrish500 [490]

In a pure market economy, the "What to produce?" question is ultimately answered by : consumer sovereignty.

Explanation:

Market autonomy is a two-way economic concept. Market autonomy in production applies to what finished products should be produced from these materials to the control power of the customers over those with scarce resources.

For example, the highest levels of consumer autonomy occur of consumers on the free market. The customer can buy any product in any quantity he wants. But the state or central government decides what to manufacture in a command economy.

8 0

3 years ago

Peter, the owner of Happy Burger, is involved in the company's daily decisions and has established procedures for every task. Th

ohaa [14]

Answer:

mechanistic

Explanation:

Mechanistic organization is the organization that is hierarchical and bureaucratic

It is characterized by its;

Highly centralized authority.
Formalized procedures and practices.
Specialized functions.

Mechanistic organizations work well in stable, simple environments. Managers integrate the activities of clearly defined departments through formal channels and in formal meetings. Often, they feature many hierarchical layers and a focus on reporting relationships.

6 0

2 years ago

Two years ago, Kimberly became a 30 percent partner in the KST Partnership with a contribution of investment land with a $10,000

klio [65]

Answer:

A. $6,000

B. $13,000

Explanation:

A. Calculation to determine Kimberly’s remaining basis in KST after the distribution

Basis in KST$ 15,000

Add §737 gain $3,000

($15,000-$12,000)

Deduct Carryover basis in land ($12,000)

Remaining basis in KST $6,000

($15,000+$3,000-$12,000).

Therefore Kimberly’s remaining basis in KST after the distribution will be $6,000

B. Calculation to determine KST’s basis in the land Kimberly contributed after Kimberly receives this distribution

KST basis upon contribution $10,000

Add Kimberly’s §737 gain $3,000

($15,000-$12,000)

KST’s basis in land $13,000

($10,000+$3,000)

Therefore KST’s basis in the land Kimberly contributed after Kimberly receives this distribution is $13,000

6 0

3 years ago