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3 years ago

Wendell Company provided the following pertaining to its recent year of operation:

Business

1 answer:

myrzilka [38]3 years ago

3 0

Answer:

Option (B) is correct.

Explanation:

Wendell's total stockholders' equity increase during the recent year of operation:

= Issued common stock - Cash dividend declared + Net Income - Stock dividend distributed + Sale of treasury stock below cost

= $50,000 - $20,000 + $70,000 - $23,000 + $7,000

= $84,000

Therefore, Wendell's total stockholders' equity increase by $84,000.

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You own one futures contract on gold that you purchased at a quoted price of 1,448.5. The current price quote is 1,405.5. The co

Inessa [10]

Answer:

d. -$4,300.00

Explanation:

Calculation for What is your current profit or loss on this investment

Using this formula

Current profit or loss = Contract size*(Current price quote-Quoted price )

Let plug in the formula

Current profit or loss = 100 *($1,405.5-$1,448.5)

Current profit or loss = 100 *-$43

Current loss = -$4,300.00

Therefore your current loss on this investment will be -$4,300.00

6 0

3 years ago

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.

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Explanation:

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