On January 1, 2018, White Corporation signed a $ 120,000, four-year, 2% note. The loan required White to make payments annu
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Answer:
Preference shareholders = $36,000
Equity shareholders = $9,000
Explanation:
As provided the outstanding preference dividend at end of 2012 = $12,000
Total cash dividends declared = $45,000 in the year 2013
Regular preference dividends = $100 3,000
8% = $24,000
Thus, when dividends will be paid in 2013 then firstly they will be used for payment to preference shareholders.
Thus, the company shall pay:
$12,000 + $24,000 = $36,000 to preference shareholders.
Further the balance will be paid to equity shareholders.
= $45,000 - $36,000 = $9,000
Answer:
Number of units possible in S are 4.
Explanation:
Given <em>S</em> is a set of complex number of the form where <em>a</em> and <em>b</em> are integers.
is a unit if
exists such that
.
To find:
Number of units possible = ?
Solution:
Given that:
Taking modulus both sides:
Using the property that modulus of product of two complex numbers is equal to their individual modulus multiplied.
i.e.
So,
......... (1)
Let
Then modulus of z is
Given that a and b are <em>integers</em>, so the equation (1) can be true only when (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:
Hence, number of units possible in S are 4.