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3 years ago

Problem 10-01A a-c (Video) (Part Level Submission)

Business

1 answer:

notka56 [123]3 years ago

7 0

Plz don’t report me I’m just trying to do my homework like y’all

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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 S is a set of complex number of the form $a+bi$ where a and b 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 integers, 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

Austin and kayla have $35,000 in debt (student loan, credit cards, car loan) but have cut up all of their credit cards and start

Klio2033 [76]

The answer is a definite NO. No one should EVER cash in their 401(k) to pay off debt. You will never be able to recover from the loss of compounding interest if you take out money from your retirement account. This money should be saved for retirement or EXTREME emergencies.

Im this case, Austin should take the amount of his raise and use that to start paying down his debt FASTER.

6 0

3 years ago

Which statement about subsidiary ledger is most accurate

s344n2d4d5 [400]

The accounts receivable subsidiary ledger is a book of accounts that provides supporting detail for Accounts Receivable.

4 0

3 years ago

Read 2 more answers

Which of the following statements best explains why the red bar goes up when the blue goes up?

vesna_86 [32]

Answer: Higher spending than taxing results in a deficit, which contributes to more debt.

Explanation:

Here the red bar is referred to the debt and the blue bar is referred to the spending. When the government spending is more it decreases the government revenue and creates a deficit in the funds. When there is deficit it means the government borrows funds for spending which increases the debts.

Government spending to improve the status of the economy in the country. It Invests is various activities for growth and development purpose. Only on collecting high taxes the revenue of the government will increase. When taxes collected are low the government revenue is also low.

8 0

2 years ago

During 2020, Concord Corporation acquired a mineral mine for $3700000 of which $395000 was ascribed to land value after the mine

Ivanshal [37]

Answer:

$429,650

Explanation:

Cost of Mineral Mine $3,700,000

Less: Ascribed Land Value $395,000

Depletionable Value $3,305,000

No of units can be extracted from Mine = 10,000,000 units

No of units Sold = 1,300,000 units

Depletion Value = $3,305,000/10,000,000 * 1,300,000

Depletion Value = $429,650

6 0

3 years ago