The year-end 2013 balance sheet of brandex inc. listed common stock and other paid-in capital at $2,600,000 and retained earnings at $4,900,000. the next year, retained earnings were listed at $5,200,000. the firm’s net income in 2014 was $1,050,000. there were no stock repurchases during the year. what were the dividends paid by the firm in 2014?

Dividend paid = $750,000

Explanation:

In order to compute the dividends paid by the firm in 2014 , we'll use the following formula :

Retained earning at end = Retained earning at beginning +Net income -Dividend paid

$5,200,000 = $4,900,000 +  $1,050,000 - Dividend paid

Dividend paid = $4,900,000 +  $1,050,000 - $5,200,000

Dividend paid = $750,000

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3