Answer:
The return on assets in this business for Macrosoft is
ROA = 10.50%
Step-by-step explanation:
Return on Equity:
ROE represents how much a firm is generating profits by using the shareholder's money.
ROE is calculated as
Return on Assets:
ROA represents how much a firm is generating profits for every dollar of its assets.
ROA is calculated as
What is the return on assets in this business if Macrosoft has no debt?
Debt plays an important role in the calculations of return on assets.
We know that
Assets = Liabilities + Equity
Since the Macrosoft has no debt, its return on assets will be same as return on equity.
Assets = Equity
ROA = ROE
ROA = 10.50%
First step: Find how wide the bulletin board is
15 ft² ÷ 3 ft = 5 ft
Step the second: Use the perimeter formula P = 2l + 2w
P = 2(5) + 2(3)
<u>P = 16 ft</u>
After plotting the quadrilateral in a Cartesian plane, you can see that it is not a particular quadrilateral. Hence, you need to divide it into two triangles. Let's take ABC and ADC.
The area of a triangle with vertices known is given by the matrix
M =
![\left[\begin{array}{ccc} x_{1}&y_{1}&1\\x_{2}&y_{2}&1\\x_{3}&y_{3}&1\end{array}\right]](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%20x_%7B1%7D%26y_%7B1%7D%261%5C%5Cx_%7B2%7D%26y_%7B2%7D%261%5C%5Cx_%7B3%7D%26y_%7B3%7D%261%5Cend%7Barray%7D%5Cright%5D%20)
Area = 1/2· | det(M) |
= 1/2· | x₁·y₂ - x₂·y₁ + x₂·y₃ - x₃·y₂ + x₃·y₁ - x₁·y₃ |
= 1/2· | x₁·(y₂ - y₃) + x₂·(y₃ - y₁) + x₃·(y₁ - y₂) |
Therefore, the area of ABC will be:
A(ABC) = 1/2· | (-5)·(-5 - (-6)) + (-4)·(-6 - 7) + (-1)·(7 - (-5)) |
= 1/2· | -5·(1) - 4·(-13) - 1·(12) |
= 1/2 | 35 |
= 35/2
Similarly, the area of ADC will be:
A(ABC) = 1/2· | (-5)·(5 - (-6)) + (4)·(-6 - 7) + (-1)·(7 - 5) |
= 1/2· | -5·(11) + 4·(-13) - 1·(2) |
= 1/2 | -109 |
<span> = 109/2</span>
The total area of the quadrilateral will be the sum of the areas of the two triangles:
A(ABCD) = A(ABC) + A(ADC)
= 35/2 + 109/2
= 72
This is a guess using logic, but my answer for this is that she concluded that she walked faster in the first 15 minutes. An increase in speed would increase the distance she walked in that amount of time
Answer:
(0,0) (1,2) (2,4) (3,6)
Step-by-step explanation:
They all share the same slope which is 1/2
