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sweet-ann [11.9K]
3 years ago
12

A company had a beginning balance in retained earnings of $44,300. It had net income of $7,300 and paid out cash dividends of $5

,950 in the current period. The ending balance in retained earnings equals:
Business
1 answer:
Anit [1.1K]3 years ago
3 0

Answer:

$45,650

Explanation:

a) Calculations of Retained Earnings:

Beginning balance = $44,300

Net Income =                 7,300

less Dividends             -5,950

Ending balance =     $45,650

b) A statement of changes in Retained Earnings is always prepared to include the net income available for distribution to stockholders and exclude the distributions already made to stockholders in the form of dividends before arriving at the ending balance of Retained Earnings.  This later figure is reported in the Balance Sheet.  This process is also part of the closing entries of temporary accounts to permanent accounts at the end of an accounting period.

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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
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It seems that you have missed the necessary options for us to answer this question,  but anyway, hope this answer helps. Over the last 50 years, family income has become MORE IMPORTANT THAN RACE <span>in explaining the educational achievement gap. Hope this answers your question.</span>
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\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}

<h2>TRUE</h2>

<h2>TRUE</h2>

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Which economic policy was most successful during the Great Depression?
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The economic policy that was most successful during the Great Depression is (D) increased government spending. It is a common view among economists that government spending on the war at least accelerated from the recovery of the Great Depression. Well, as always, other think that it didn't play a vital role in recovery.
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Answer:

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