On january 1, 2014, dodd, inc., declared a 15% stock dividend on its common stock when the fair value of the common stock was $30 per share. stockholders' equity before the stock dividend was declared consisted of:
common stock, $10 par value, authorized 200,000 shares;
issued and outstanding 120,000 shares
$1,200,000
additional paid-in capital on common stock
150,000
retained earnings
700,000
total stockholders' equity
$2,050,000
what was the effect on dodd's retained earnings as a result of the above transaction?

$540,000

Explanation:

Given that,

Fair value of the common stock = $30 per share

Common stock, $10 par value, authorized 200,000 shares;

issued and outstanding 120,000 shares  = $1,200,000

Additional paid-in capital on common stock  = $150,000

Retained earnings  = $700,000

Total stockholders' equity  = $2,050,000

Declared a dividend of 15%:

=  120,000 × $30 × 15%

= $540,000

Since, dividends are paid out Retained earnings. Therefore, retained earnings will decrease by an amount of $540,000.

start by isolating the variable on one side by adding 43w^2 to both sides.   the equation will read:

25w^2+5=0

*subtract 5 from both sides*

25w^2=-5

*divide both sides by 25*

w^2=-1/5

*take the square root of both sides*

w=√(-1/5)

the square root of -1 is i.   the square root of 5 remains √5

the answer is i/√5.

hope this