Please help me with this for 20 points
1 answer:
Answer: The answers are in the photo.
Step-by-step explanation:
To solve question 4, you have to work backwards. Plug 40.82 as C in the formula C = D x 3.14. It would now look like: 40.82 = D x 3.14. Divide 40.82 by 3.14 and you would receive 13 as the diameter. However, we are searching for the radius. The radius is half of the diameter. 13 / 2 is 6.5
To solve question 5, you'll need to use the formula C = D x 3.14. So far, we know D is 6. 6 x 3.14 is 18.84. Yet, we need to find the cost. Each foot costs $12.50, so that's what we multiply to 18.84. In the end, the cost is $235.50.
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Answer: last option
Step-by-step explanation:
You need to remember the identity:
You need to find the cosine of angle P, then, you can identify in the figure that:
Therefore, the next step is substitute these values into , then you get:
You can observe that this matches with the last option.
Answer:
change in capital to Improvement in ROE = 2.518%
Step-by-step explanation:
To calculate the improvement in ROE, calculate ROE for current capital structure by using DuPont analysis.
where
Return on Assets = Net Income / Total Assets
Equity Multiplier = Total Assets / Equity
Equity = Total assets x (1 – debt to capital ratio)
= $250,000 x (1-37%)
= $157,500
Equity Multiplier = Total Assets / Equity
ROE =0.075 x 1.58 = 0.11904761 or 11.905%
ROE after change in capital structure:
Equity = Total assets x (1 – debt to capital ratio)
= $250,000 x (1-48%) = $130,000
ROE = (18,750/250,000) x (250,000/130,000)
= 0.1442307692307692 or 14.423%
change in capital to Improvement in ROE = 14.423% - 11.905% = 2.518%