1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bad White [126]
1 year ago
13

A student has 4 mangos, 2 papayas, and 3 kiwi fruits. if the student eats one piece of fruit each day, and only the type of frui

t matters, in how many different ways can these fruits be consumed?
Business
1 answer:
Tom [10]1 year ago
4 0

There are 210 ways that he can consume fruits. This can determined using the concept of factorial in mathematics.

Factorial, in mathematics, the product of all positive int or numbers less than or equal to a given positive int or number and denoted by that integer and an interjection point. therefore, factorial seven is written seven!, meaning one × 2 × 3 × 4 × 5 × six × seven.

Factorial zero is defined as equal to one.

Here, we have given the student has three mangoes, two papayas and two kiwi fruits.

so in total he has (3 plus 2 plus 2) =7 fruits.

Let all the fruits be eaten. If he eats one fruit each day then it will take seven days to complete this process.

So according to one popular permutation type where , n=7, n1(mangoes)=3,  n2(papayas)=2,  n3(kiwi)=2.

Using factorial, number of ways =7!/(3!2!2!) =210

Learn more about factorial here:

brainly.com/question/25997932

#SPJ4

You might be interested in
You are considering an investment in fields and struthers, Inc, and want to evaluate the firm's free cash flow From the income s
kirill [66]

Answer:

A.) $81,100,000

B.) $64,000,000

C.) $17,100,000

Explanation:

EBIT = $90 million

Tax rate = 21%

Depreciation = $10 million

gross fixed assets increased by $56 million

current assets increased by $44 million

current liabilities increased by $36 million

A.) Operating Cash flow for 2021

EBIT + Depreciation - (EBIT × Tax rate)

$90, 000,000 + 10,000,000 - (90,000,000×0.21)

100,000,000 - (18,900,000) = $81,100,000

B.) Investment in Operating capital for 2021:

Increase in gross fixed asset + (increase in current asset - increase in liability)

$56,000,000 + ( $44,000,000-$36,000,000)

= $56,000,000 + $8,000,000

= $64,000,000

C.) Free cash flow

Operating Cash flow - investment in operating

$81,100,100 - $64,000,000 = $17,100,000

3 0
2 years ago
On January 1, Sway Corporation had 60,000 shares of $10 par value common stock outstanding. On March 17, the company declared a
pychu [463]

Answer:

See below

Explanation:

With regards to the above, the entry to record of March 30 would be;

Debit stock dividends $140,400

Credit common stock dividends distributable $108,000

Credit paid in capital in excess of par $32,400

Calculations;

= 60,000 shares of $10 par value

= $600,000 × Stock dividend

= $600,000 × 18%

= $108,000

Stock dividend = 60,000 shares of $13 market value

= $780,000 × Stock dividend

= $780,000 × 18%

= $140,400

Additional paid in capital = $140,400 - $108,000 = $32,400

5 0
3 years ago
Golf Guide sells imprinted clothing and accessories for golfers through a catalog. To find new customers, Golf Guide sends a sma
kherson [118]

Answer:

Cost per customer acquired = $51.67

Explanation:

Customer acquired per thousand pieces mailed = 1000*6% = 60

Total cost per thousand pieces mailed A    $3,100

Divide by Customers acquired  B                <u>   60     </u>

Cost per customer acquired A/B                <u>  $51.67</u>

7 0
3 years ago
Sunbird Theatre Inc. owns and operates movie theaters throughout Florida and Georgia. Sunbird Theatre Inc. has declared the foll
bulgar [2K]

Answer:

See the explanation below.

Explanation:

1. Calculation of total dividend for six years (2011 to 2016)

Total dividend = 2011  dividend + 2012  dividend + 2013  dividend + 2014  dividend + 2015  dividend + 2016  dividend

Total dividend = $20,000 + $36,000 + $70,000 + $90,000 + $102,000  + $150,000  

Total dividend = $468,000  

2. Calculation of per-share dividends declared on each class of stock for each of the six years

Note that preferred stock holders are entitled to dividend first before the common stock holders. It is what remains after paying the preferred shareholders that the common shareholders get. Therefore, the calculation is done as follows:

2011:

Preferred dividend per share = Preferred dividend rate × Preferred stock price

Expected preferred dividend per share = 1% × $30 = 0.30 per share

Expected total preferred dividend = Expected preferred dividend per share × Number proffered share

Expected total preferred dividend = $0.30 × 100,000 = $30,000

Actual dividend declared = $20,000

Preferred dividend declared per share = $20,000 ÷ 100,000 = $0.20

Preferred dividend arrears (Cumulative) = $30,000 - $20,000 = $10,000

Preferred dividend per share arrears (Cumulative)  = $10,000 ÷ 100,000 = $0.10

Since preferred stock holders are entitled to dividend first before the common stock holders and the dividend declared is lower than the dividend payable to the preferred shareholders, the common stockholders will receive zero dividend in 2011.

Also, since it is stated in the question that the preferred 1% stock is cumulative

2012:

Expected preferred dividend per share = 1% × $30 = 0.30 per share

Expected total preferred dividend = Expected preferred dividend per share × Number proffered share

Expected total preferred dividend = $0.30 × 100,000 = $30,000

Total dividend declared = $36,000

Preferred dividend declared per share = $30,000 ÷ 100,000 = $0.30

To pay preferred dividend in arrears = $36,000 - $30,000 = $6,000

Preferred dividend arrears per share paid = $6,000 ÷ 100,000 = $0.06

Balance of preferred dividend arrears = $10,000 - $6,000 = $4,000

Balance of preferred dividend per share arrears  = $4,000 ÷ 100,000 = $0.04.

Total preferred dividend paid in 2012 = $36,000

Preferred dividend per share paid in 2012 = $36,000 ÷ 100,000 = 0.36

Again for the same reason as stated above, the common stockholders will also receive zero dividend in 2012.

2013:

Expected preferred dividend per share = 1% × $30 = 0.30 per share

Expected total preferred dividend = Expected preferred dividend per share × Number proffered share

Expected total preferred dividend = $0.30 × 100,000 = $30,000

Total dividend declared = $70,000

Preferred dividend declared per share = $30,000 ÷ 100,000 = $0.30

To pay preferred dividend arrears = $4,000

Preferred dividend arrears per share paid = $4,000 ÷ 100,000 = $0.04

Common stock dividend = $70,000 - $34,000 = $36,000

Common stock dividend per share = $36,000 ÷ 400,000 = $0.09.

2014:

Expected preferred dividend per share = 1% × $30 = 0.30 per share

Expected total preferred dividend = Expected preferred dividend per share × Number proffered share

Actual total preferred dividend = $0.30 × 100,000 = $30,000

Preferred dividend declared per share = $30,000 ÷ 100,000 = $0.30

Total dividend declared = $90,000

Common stock dividend = $90,000 - $30,000 = $60,000

Common stock dividend per share = $60,000 ÷ 400,000 = $0.15.

2014:

Expected preferred dividend per share = 1% × $30 = 0.30 per share

Expected total preferred dividend = Expected preferred dividend per share × Number proffered share

Actual total preferred dividend = $0.30 × 100,000 = $30,000

Preferred dividend declared per share = $30,000 ÷ 100,000 = $0.30

Total dividend declared = $102,000

Common stock dividend = $102,000 - $30,000 = $72,000

Common stock dividend per share = $72,000 ÷ 400,000 = $0.18.

2015:

Expected preferred dividend per share = 1% × $30 = 0.30 per share

Expected total preferred dividend = Expected preferred dividend per share × Number proffered share

Actual total preferred dividend = $0.30 × 100,000 = $30,000

Preferred dividend declared per share = $30,000 ÷ 100,000 = $0.30

Total dividend declared = $150,000

Common stock dividend = $150,000 - $30,000 = $130,000

Common stock dividend per share = $130,000 ÷ 400,000 = $0.33.

5 0
3 years ago
What is one advantage corporations have over other types of businesses?
Artist 52 [7]

Answer: Corporations limit risk and liability for shareholders.

Explanation:

Apex

8 0
3 years ago
Read 2 more answers
Other questions:
  • The difference between the current sales revenue and the sales at the break-even point is called the:a. price factor b. operatin
    14·1 answer
  • Hudson Co. reports the contribution margin income statement for 2017. HUDSON CO. Contribution Margin Income Statement For Year E
    13·1 answer
  • Luxury Cruiseline offers nightly dinner cruises departing from several cities on the eastern coast of the United States includin
    15·1 answer
  • Philip oversees the processes of the research and development department of his company. He is responsible for all of the activi
    6·2 answers
  • Cabell Products is a division of a major corporation. Last year the division had total sales of $13,420,000, net operating incom
    12·1 answer
  • Parker is a dog whisperer who has consulted with some of the most famous Hollywood stars and their canine friends. He issued an
    9·1 answer
  • Charismatic leadership is now considered part of ______ leadership.
    12·1 answer
  • Randa is trying to lower the vacancy rates for the commercial property she manages because her revenue targets will increase by
    6·1 answer
  • The main goals of an engineering ethics class if to memorize the professional codes of ethics as formulated by professional orga
    8·1 answer
  • ​________ play an important role in matching supply and demand by providing consumers with a broad assortment of products in sma
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!