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Angelina_Jolie [31]
3 years ago
10

A firm has 25 senior and 26 junior partners. A committee of three partners is selected at random to represent the firm at a conf

erence. In how many ways can at least one of the junior partners be chosen to be on the committee?
Business
1 answer:
Sergio [31]3 years ago
6 0

Answer:

There are 18,525 ways to choose at least one of the junior partners to be on the committee.

Explanation:

If all partners can be chosen in any way the choices would be combinations of any 3 partners from all 51 partners. The number of ways to arrange it would be:

A = {51 \choose 3} = \frac{51!}{3!(51-3)!}  = 20,825

The opposite of choosing at least one junior partner is to choose no junior partner. Those choices would be combinations of any 3 partners from 25 senior partners. The number of ways to arrange it would be

B =  {25 \choose 3} = \frac{25!}{3!(25-3)!}  = 2,300

So the number of ways to choose at least one of the junior partners to be on the committee would be: A - B = 20,825 - 2,300 = 18,525

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Assume a major investment service has just given Oasis Electronics its highest investment rating, along with a strong buy recomm
ruslelena [56]

Answer:

Share price : $ 56.23

Explanation:

CAPM

Ke= r_f + \beta (r_m-r_f)

risk free = 0.05

market rate = 0.11

premium market = (market rate - risk free) 0.06

beta(non diversifiable risk) = 1.64

Ke= 0.05 + 1.64 (0.06)

Ke 0.14840

Now, we solve for the present value of the future dividends:

year   dividend*     present value**

1  2.91                 2.53

2  3.31                 2.51

3  3.78         2.49

4  4.31                 2.48

4   80.38          46.22

TOTAL            56.23

*Dividends will be calculate as the previous year dividends tiems the grow rate

during the first four year is 14%

then, we calcualte the present value of all the future dividends growing at 9% using the dividend grow model:

\frac{D_1}{K_e-g}

(4.31 x 1.09) / (0.1484 - 0.09) = 80.38

Then we discount eahc using the present value of a lump sum:

\frac{Cashflow}{(1 + rate)^{time} } = PV

We discount using the CAPM COst of Capital of 14.84%

last we add them all to get the share price: $ 56.23

4 0
3 years ago
Denise has $13,424 in a savings account with the District 113 Teacher's Credit Union. While economic conditions have caused the
coldgirl [10]

Answer:

Explanation:

$120= the amount to pay for the shoe

$20 paid for the month

Balance to pay = $100

Then 3% interest rate on credit card = 3% of $100=$3

Therefore amount to pay = $3+$100=$103

7 0
2 years ago
A not-for-profit voluntary health and welfare organization should report a contribution for the construction of a new building a
Brilliant_brown [7]

Answer:

The correct answer is letter "C": financing activities.

Explanation:

Cash flow refers to transferring cash to, or from, an account, a company, or an investment. In the cash flow statement, there is a section called "<em>Financing Activities</em>" where all the net flow of cash to fund the entity is recorded. Those activities imply the <em>firm's equity, debt, </em>and <em>dividends</em>.

7 0
3 years ago
Responses such as perspective taking, creating solutions, expressing emotions, and reaching out are considered ______ responses
Anestetic [448]

These are named Active and Constructive responses to conflict.

These responses are called active as from the question portion it's clear talking related to the perspective, creating its solutions related to the issues expressing the emotions and at the end to reaching out the point of solution are denoted as the Active.

It's constrictive because the variation step by step makes you understand the positioning and clear the mindset which illustrates the position and makes it constructive.

On the other side, reflective thinking, delaying responding, and adopting are known as passive and constructive responses.

For more questions like this Active and Constructive responses visit the link below:

brainly.com/question/26009383

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4 0
1 year ago
Chief financial officer Barry submits travel and expense reports that are completely genuine and encourages employees in his div
N76 [4]

Answer:

<u>Leading by example</u>

Explanation:

Chief financial officer Barry submits travel and expenses reports that are completely genuine and encourages employees in his division to always give accurate and correct information . Barry is using the ethical initiative called <em><u>leading by example.</u></em>

Leading by example is a good quality of any leader . When a leader explain or tell anything to its team by using examples then it motivates the team , they thought that when he/she ( the person used in example) can do , then they also can do this. The leaders who used leading by example quality will make themselves as well as his team to follow him. These is a good technique to strengthen and inspire the people. It is the responsibility of the leader to guide their teams .

7 0
3 years ago
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