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2 years ago

Which of the following serves as an incentive for entrepreneurs in a market economy?

Business

1 answer:

hram777 [196]2 years ago

7 0

Answer:

<em>Entrepreneurs are people who take the risks of organizing productive resources to make goods and services. Profit is an important incentive that leads entrepreneurs to accept the risks of business failure.</em>

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A bag contains 9 red marbles, 5 white marbles, and 6 blue marbles. You draw 4 marbles out at random, without replacement. Find t

IRINA_888 [86]

a) 0.0260

b) 0.0681

Explanation:

The bag contains:

r = 9 (number of red marbles)

w = 5 (number of white marbles)

b = 6 (number of blue marbles)

So, the total number of marbles in the bag at the beginning is:

$n=9+5+6=20$

At the 1st attempt, the probability of choosing a red marble is:

$p(r)=\frac{r}{n}=\frac{9}{20}$ (1)

At the 2nd attempt, the 1st red marble is not placed back, so now the number of marbles is (n-1), while the number of red marbles left is (r-1). So the probability of choosing another red marble at the 2nd attempt is

$p(r)=\frac{r-1}{n-1}=\frac{8}{19}$ (2)

With a similar argument, the probabilities of selecting a red marble in the 3rd and 4th attempt are

$p(r)=\frac{7}{18}$ (3)

$p(r)=\frac{6}{17}$ (4)

Therefore, the probability of drawing 4 red marbles in the first 4 attempts without replacing is:

$p(rrrr)=\frac{9}{20}\frac{8}{19}\frac{7}{18}\frac{6}{17}=\frac{3024}{116280}=0.0260$

At the 1st draw, the probability that the marble is not red is:

$p(r^c)=1-p(r)=1-\frac{9}{20}=\frac{11}{20}$

At the 2nd draw, there are 9 red marbles left and 19 total marble left. So, the probability of NOT drawing a red marble is:

$p(r^c)=1-\frac{9}{19}=\frac{10}{19}$

At the 3rd draw, there are 9 red marbles left and 18 total marbles left. So, the probability of NOT drawing a red marble is:

$p(r^c)=1-\frac{9}{18}=\frac{9}{18}$

Finally, with a similar argument the probability of NOT drawing a red marble at the 4th and last attempt is:

$p(r^c)=\frac{8}{17}$

So, the total probability of drawing 4 non-red marbles in the first 4 attempts is:

$p(r^cr^cr^cr^c)=\frac{11}{20}\frac{10}{19}\frac{9}{18}\frac{8}{17}=\frac{7920}{116,280}=0.0681$

6 0

3 years ago

Altira Corporation provides the following information related to its merchandise inventory during the month of August 2021:

nignag [31]

Aug. 1 Inventory On Hand—2,000 Units; Cost $5.70 Each.

Second sales assumed to be 7,000 units at a price of $11.40 each.

Answer:

Altira Corporation

August 2021 Ending Inventory & Cost of Goods Sold:

1. Ending Inventory = 9,000 units at $5.88 per unit = $52,920

2. Cost of goods sold =

9,600 x $5.87 = $56,352

7,000 x $5.95 = $41,650

16,600 units = $98,002

Explanation:

a) Calculations:

Units Unit Cost Total Cost

Beginning Inventory 2,000 $5.70 $11,400

Purchases 12,000 $5.90 $70,800

Weighted average cost = ($11,400 + $70,800) / 14,000 = $5.87

Sales (9,600) $12.00 $115,200

Units remaining 4,400 $5.87 $25,828

Purchases 7,200 $6.00 $43,200

Weighted average cost = ($25,828 + $43,200) / 11,600 = $5.95

Sales (7,000) $11.40 $79,800

Units remaining 4,600 $5.95 $27,370

Purchases 4,400 $5.80 $25,520

Weighted average cost = ($27,370 + $25,520) / 9,000 = $5.88

Ending Inventory 9,000 $5.88 $52,920

b) The 'Average Cost Method' or the Weighted Average Cost Method assumes that the cost of inventory is based on the average cost of the goods available for sale during the period. To compute the average cost, divide the total cost of goods available for sale by the total units available for sale.

6 0

3 years ago

A company has only two divisions: division a and division

Sloan [31]

Answer – Division A

EXPLANATION’

Given for last year,

Division A made 60% of the company's total revenue.

Let the company’s total revenue for last year be x

60% of x = 0.6x

Division A made 0.6x last year

Also given for last year,

Division B made 40% of the company's total revenue.

If the company’s total revenue for last year is x

40% of x = 0.4x

Division B made 0.4x last year

For this year,

We are told that division A's revenue has decreased by 35%

Last year’s revenue was 0.6x

Division A’s revenue for this year = 0.6x – (35% of 0.6x)

= (100% of 0.6x) – (35% of 0.6x)

= (100% * 0.6x) – (35% * 0.6x)

= (100% - 35%) * 0.6x

= 65% * 0.6x

= 65/100 * 0.6x

= 0.39x

Therefore this year, Division A’s revenue is 0.39x

Again for this year,

We are told that division B's revenue has decreased by 5%

Last year’s revenue was 0.4x

Division B’s revenue for this year = 0.4x – (5% of 0.4x)

= (100% of 0.4x) – (5% of 0.6x)

= (100% * 0.4x) – (5% * 0.4x)

= (100% - 5%) * 0.4x

= 95% * 0.4x

= 0.38x

Therefore this year, Division B’s revenue is 0.38x

If Division A’s revenue is 0.39x, and Division B’s revenue is 0.38x; then Division A had higher revenue this year.

4 0

2 years ago

Which of the following directly influences an employee's voluntary behavior and performance?

astraxan [27]

Answer:

Letter A. Role perceptions.

Explanation:

Role perception is the main factor that impacts an employee's behavior and voluntary performance, as individual perceptions are responsible for determining a person's set of actions and behaviors in a given situation. It is influenced by the set of values, experiences, emotional and social interaction with society.

Therefore, the perception of their role in the organization will directly influence their performance. Ideally, it should be determined with ethical and normative bases that benefit the employee and help in self-motivation and self-accomplishment of the work.

5 0

2 years ago

Because your mother is about to retire, she wants to buy an annuity that will provide her with $75,000 of income a year for 20 y

siniylev [52]

The calculated present value of the annuity is $915,166.70.

Explanation and Solution:

Annuity is a collection of fixed payments made or earned either at the close or at the beginning of any term such that a significant initial payment or receipt may be turned into a set of comparatively minor payments or receipts. An annuity that lasts indefinitely is called perpetuity.

The formula for the present value of the annuity is given by:

$P = \frac{1- (1+i)^{-n} }{i} * R$

Where;

R = annual payment = $75,000

i = interest rate = 5.25%

P = Present value of annuity

n = number of years = 20 years

P = $\frac{1- (1+5.25)^{-20} }{5.25} * 75,000$

P = $915,166.70

5 0

3 years ago