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son4ous [18]
3 years ago
10

Fifteen married couples are at a dance lesson, but now only five men and five women are selected at random, then randomly paired

. (a) What is the number of possible dancing arrangements?
Business
1 answer:
Tresset [83]3 years ago
6 0

Answer:

( ¹⁵C₂ )² × 5! = 1082161080

Explanation:

Data provided in the question:

Number of married couples = 15

Therefore,

Number of males = 15

Number of females = 15

Now,

The number of possible dancing arrangements

= Probability of selecting males × Probability of selecting males × ways of arranging 5 pairs

= ¹⁵C₂ × ¹⁵C₂ × 5!

= ( ¹⁵C₂ )² × 5!

= [\frac{15!}{5!\times(15-5)!}]^2 × ( 5 × 4 × 3 × 2 × 1 )

= [\frac{15\times14\times13\times12\times11\times10!}{5\times4\times3\times2\times1\times10!}]^2 × ( 5 × 4 × 3 × 2 × 1 )

= [\frac{360360}{120}]^2 × 120

= 1082161080

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A company produces alternators for cars. They generally use a static budget with the following costs based on 8,000 units per mo
Daniel [21]

Answer:

$70,875

Explanation:

By definition, a flexible budget is when a budget has been adjusted or flexed to accommodate the changes in the level of activity.

If the company wanted to create a flexible budget for 9,000 units, then the value that would be recorded for variable costs will be:

Indirect materials, $22,000/8000*9000 = 24,750;

Indirect labor, $25,000/8000*9000 = 28,125 ;

Utilities, $12,000/8000*9000 = 13,500;

Supervision, $4,000/8000*9000=4,500

Total of variable costs = ........................70,875

3 0
3 years ago
Super Carpeting Inc. just paid a dividend of $2.64 and its dividend is expected to grow at a constant rate of 5.50% per year. If
TiliK225 [7]

Answer:

1. C. $33.76 per share

2. B- The constant growth model can be used if a stock's expected constant growth rateis less than its required return

3. 8.25% ; $35.62 ; 5.5%

Explanation:

1. Using the Constant Growth Model to calculate the intrinsic value would be best given the above values.

The formula is;

Value = Next Dividend / (Required Return - Growth rate)

Value = (2.64 * ( 1 + 5.5%)) / ( 13.75% - 5.5%)

Value = 2.7852/8.25%

Value = $33.76

2. Going by the formula, if the expected growth rate is more than the required return, the intrinsic value would be a negative number and a stock's price cannot go below 0. The growth rate has to be less than the required return for this to work.

3. At Equilibrium, the stock dividend is growing as it should.

Dividend Yield should therefore be;

= Next Dividend / Stock Value * 100

= (2.7852 / 33.76) * 100

= 8.25%

Stock Price should grow at the growth rate so;

= 33.76 * ( 1 + 0.055)

= $35.62

Gains yield refers to what rate the stock will change in value. Growth rate is 5.5% so that will be the answer.

5 0
3 years ago
he income statement columns in the end-of-period spreadsheet show that debits are equal to $26,754 and credits are $68,142. what
neonofarm [45]

The information that the statement columns in the end-of-period spreadsheet mean to the accountant is the accounts have not been updated and a net income of $41,388. The correct option is b and c.

<h3>Who is an accountant?</h3>

An accountant is a person who manages and calculates the accounts or finance of a company, a firm, or a person. He calculates the capital of the person, manage taxes and give advice about the finance of the person.

Given that, debits are $26,754 and credits are $68,142. If we subtract the debit from the credit. We see a net income of $41,388.

Thus, the correct option is b. the accounts have not been updated. c, net income of $41,388.

To learn more about accountants, refer to the link:

brainly.com/question/13341312

#SPJ4

4 0
1 year ago
The consumption schedule shows a.that households consume more when interest rates are low. b.that consumption depends primarily
Lelechka [254]

Answer: The consumption schedule shows the amounts households intend to consume at various possible levels of aggregate income.

Explanation: Consumption function, in economics, the relationship between consumer spending and the various factors determining it. At the household or family level, these factors may include income, wealth, expectations about the level and riskiness of future income or wealth, interest rates, age, education, and family size.

A consumption schedule is a table of numbers showing the relation between consumption expenditures and income for the household sector. The income measure commonly used is national income or disposable income. Occasionally a measure of aggregate production, such as gross domestic product, is used instead.

3 0
3 years ago
You want to start your own consulting business and believe it could produce cash flows of $5,600, $48,200, and $125,000 at the e
Inessa05 [86]

Answer:

This business idea worth $430,127 today

Explanation:

Today value of the future cash flows can be calculated by discounting the cash flows on the given discount rate. It is called the present value and sum of present value of all cash flows is called Net present value.

We use following format to calculate NPV for the given business idea

Years                                     1                  2                  3

Cash Flows                      $5,600       $48,200      $125,000

Sale Proceeds                                                         $450,000

Net Cash Flows               $5,600       $48,200      $575,000

Discount Factor    14%    0.8772        0.7695        0.6750

Present values                 $4,912.32   $37,089.9    $388,125

Net present value of business idea = $4,912.32 + $37,089.9 + $388,125

NPV = 430,127.22

3 0
3 years ago
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