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alisha [4.7K]
3 years ago
7

Pete offered Liz a job at his new law firm. In anticipation, Liz quit her job at Mega Firm, bought a new computer and invested i

n a new set of law books. Shortly before her anticipated start date with Pete's firm, Pete informed Liz that he changed his mind, and no longer wanted her. Liz may recover under the doctrine of:
Business
1 answer:
MissTica3 years ago
6 0

Alcohol hand sanitizer

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Let $S$ be the set of complex numbers of the form $a + bi,$ where $a$ and $b$ are integers. We say that $z \in S$ is a unit if t
lakkis [162]

Answer:

Number of units possible in S are 4.

Explanation:

Given <em>S</em> is a set of complex number of the form a+bi where <em>a</em> and <em>b</em> are integers.

z\in S is a unit if w\in z exists such that zw=1.

To find:

Number of units possible = ?

Solution:

Given that:

zw = 1

Taking modulus both sides:

|zw| = |1|

Using the property that modulus of product of two complex numbers is equal to their individual modulus multiplied.

i.e.

|z_1z_2|=|z_1|.|z_2|

So,

|zw| = |1|\\\Rightarrow |zw| =|z|.|w| =1\\\Rightarrow |z|=\dfrac{1}{|w|}......... (1)

Let z=a+bi

Then modulus of z is   |z| = \sqrt{a^2+b^2}

Given that a and b are <em>integers</em>, so the equation (1) can be true only when |z| = |w| =1 (Reciprocal of 1 is 1). Modulus can be equal only when one of the following is satisfied:

(a = 1, b = 0) ,  (a = -1, b = 0), (a = 0, b = 1) OR (a = 0, b = -1)

So, the possible complex numbers can be:

1.\ 1 + 0i = 1\\2.\ -1 + 0i = -1\\3.\ 0+ 1i = i\\4.\ 0 -1i = -i

Hence, number of units possible in S are 4.

6 0
3 years ago
An organizational chart of a company shows vice presidents with responsibility for key areas such as design, manufacturing, sale
Romashka-Z-Leto [24]

Answer: Functional

Explanation: The functional structure of an organisational chart places people with similar skills who perform similar activities in a group under a common manager who answers to an executive a level up in the hierarchy who may oversee multiple departments. Therefore, an organizational chart of a company showing vice presidents with responsibility for key areas such as design, manufacturing, sales, marketing, and after-sales support would reflect a functional structure.

An advantage of the functional structure is that employees are allowed to focus their collective energies on executing their roles as a department but sometimes they might develop tunnel vision (seeing the company solely through the lens of the employee’s job function) and often at times there is a lack of inter-departmental communication.

6 0
3 years ago
Select the items that describe how business investments can cause economic growth.
NikAS [45]
Investments can lead to more demand for goods. Investment means an increase in capital spending and is a component of Aggregate Demand (AD), if there is an increase in investment it will help to boost AD and therefore economic growth.
4 0
3 years ago
As a manager seeks to develop her leadership skills, she should be aware that:
avanturin [10]

Answer:

b. Many different styles of leadership can be effective.

Explanation:

Leadership is the ability of a person to motivate others to deliver on set goals and objectives.

Depending.on the organisation, the goals to be achieved, needs of the followers, and the personality of the leader.

There are different leadership styles that are all effective depending on the situation

Authoritative leaders states the way things should be done with little input from the team.

Democratic leadership is when the leader gets feedback from the team and uses it to make decisions.

Free rein is when the leader allows the team do what they like in achieving goals.

Task oriented leadership focuses mainly on the task at hand.

7 0
4 years ago
Rockeagle Corporation began fiscal Year 2 with the following balances in its inventory accounts.
irinina [24]

Answer:

I solved this manually. please try to follow up with the calculations.

ending inventory balance of

a. Raw material = $31000

b. work in progress = $49000

c. finished goods = $19000

Explanation:

<u>for</u><u> </u><u>raw</u><u> </u><u>material</u><u>:</u><u>-</u>

balance at beginning 30,000 + purchase of 125000 - issue of 124000

= 30000+125000-124000

= 31,000

the ending balance is 31000

<u>for work in progress inventory:-</u>

beginning inventory 45000 + 124000 current cost of issued material + 162000 direct wages + overhead 24000

= 45000+124000+162000+24000

= $355000

we subtract 306000 costs of goods manufactured from this value

= $355000-306000

= 49000 wip ending balance

<u>for</u><u> </u><u>finish</u><u>ed</u><u> </u><u>goods</u><u> </u><u>inven</u><u>tory</u><u>:</u><u>-</u>

begining inventory 14000 + 306000 costs of goods manufactured - 301000 costs of goods sold

= 14000+306000-301000

= $19000

<u>2</u><u>.</u><u> </u><u>schedule</u><u> for</u><u> </u><u>costs</u><u> </u><u>of</u><u> </u><u>goods</u><u> </u><u>manu</u><u>factured</u><u>:</u><u>-</u>

beginning inventory 30000 + purchase 125000 - ending inventory

= 30000+125000-31000

= 124000

124,000+162000 labour cost+24000

<u>total cost of manufacturing = 310000</u>

310000+begining wip of 45,000 - ending inventory of 49000

= 310000+45000-49000

= 306,000 costs of goods manufactured

we add this value to beginning inventory of finished goods-ending inventory

= 306000+14000-19000

= $301000 costs of goods sold

3. income statement:-

revenue of 400000 - 301000 costs of good sold = 99000

99000-36000 selling expenses

= $63000

4 0
3 years ago
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