Answer:
$0.36 per share
Step-by-step explanation:
The data provided in the question are as follows
Common stock outstanding = 50,000 shares
Preferred stock outstanding = 4,000 shares
Par value of common stock = $4
Interest rate and par value of preferred stock = 9% and $100
Total dividend payment declared = $54,000
So, the amount of dividend for each share of common stock is
= (Total dividend payment declared - Preferred stock outstanding × interest rate × par value) ÷ (common stock outstanding)
= ($54,000 - 4,000 × $100 × 9%) ÷ (50,000 shares)
= ($54,000 - $36,000) ÷ (50,000 shares)
= $18,000 ÷ 50,000 shares
= $0.36 per share
14^10. Minus the powers 15 - 10
Ten thousand your welcome
Recall that the volume of a regular prism is given by the area of the base times the height.
Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.
Recall that the are of a triangle is given by 1/2 base times height.
Thus the area of of the pentagon base of the prism is given by
Therefore, the volume of the prism is given by
Answer:
The new volume is 14,850cm³
Step-by-step explanation:
Given
Volume of a rectangular prism = 550cm
Required
Value of volume when the dimensions are tripled.
The volume of a rectangular prism is calculated using the following formula.
V = lbh
<em>When Volume = 550, the formula is written as follows</em>
550 = lbh
<em>Rearrange</em>
lbh = 550
However, when each dimension is tripled.
This means that,
new length = 3 * old length
new breadth = 3 * old breadth
new height = 3 * old height
<em>Let L, B and H represent the new length, new breadth and new height respectively</em>
In other words,
L = 3l
B = 3b
H = 3h
Calculating new volume
New volume = LBH
Substitute, 3l for L, 3b for B and 3h for H;
V = 3l * 3b * 3h
V = 3 * l * 3 * b * 3 * h
V = 3 * 3 * 3 * l*b*h
V = 27 * lbh
Recall that lbh = 550
So,
V = 27 * 550
V = 14,850
Hence, the new volume is 14,850cm³
