The statement of stockholders’ equity for Longhorn Corporation is: $62,800
<h3> Statement of
stockholders’ equity</h3>
Common stock Retained earning Total stakeholder equity
Beginning balance $36,000 $17,400 $53,400
Issuance of common stock $4,000 - $4,000
Add net income - $5,400 $5,400
[65,700-(53,000+2,200+5,100)]
Ending balance $40,000 $22,800 $62,800
Therefore the statement of stockholders’ equity for Longhorn Corporation is: $62,800.
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Answer:the youngest child is 7 years old
Step-by-step explanation:
Let x represent the age of the youngest child.
Let y represent the age of the middle child.
Let z represent the age of the oldest child.
The sum of the ages of three children is 32. It means that
x + y + z = 32 - - - - - - - - - - - 1
The ages of the oldest is twice the age of the youngest. It means that
x = 2z
z = x/2
The two older children differ by 3 years. It means that
y = x - 3
Substituting z = x/2 and y = x - 3 into equation 1, it becomes
x + x - 3 + x/2 = 32
2x - 3 + x/2 = 32
Crossmultiplying,
4x - 6 + x = 64
5x = 64 + 6 = 70
x = 70/5 = 14
z = x/2 = 14/2
z = 7
Answer:
8 cups of water
Explanation:
2 cups of water = 3 cups of flour
x cups of water = 12 cups of flour
12/3=4
2x4=8
Answer:
41.04 meters
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other the given angle is the included angle. The initial position is given by A. The tree is denoted as C and the fence post is denoted as B. Since the use of sine rule will complicate the question, it will be easier to solve this question using the cosine rule. Therefore, cosine rule will be used to calculate the length of BC. The cosine rule is:
BC^2 = AB^2 + AC^2 - 2*AB*AC*cos(BAC).
The question specifies that AC = 70 meters, BAC = 25°, and AB = 35 meters. Plugging in the values:
BC^2 = 35^2 + 70^2 - 2(35)(70)*cos(25°).
Simplifying gives:
BC^2 = 1684.091844.
Taking square root on the both sides gives BC = 41.04 meters (rounded to two decimal places).
Therefore, the distance between the point on the tree to the point on the fence post is 41.04 meters!!!
To solve this problem, let us first find for the binary
equivalents of the numbers. They are:
Decimal --> Binary
+ 29 --> 00011101
+ 49 --> 00110001
- 29 --> 11100011
- 49 --> 11001111
Now we apply the normal binary arithmetic to these converted
numbers:
(+ 29) + (- 49) ---> 00011101 + 11001111 =
11101100 ---> - 20 (TRUE)
(- 29) + (+ 49) ---> 11100011 + 00110001 = 00010100
---> + 20 (TRUE)
(- 29) + (- 49) ---> 11100011 + 11001111 = 10110010
---> - 78 (TRUE)