Answer:
Step-by-step explanation:
Answer:
No, the maximum height that the balloon can reach is 9ft.
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
The function h(x) =-0.5(x-4)² +9, is a Quadratic Function in the Vertex form.
Vertex form: f (x) = a(x - h) 2 + k
Where:
- (h, k) is the vertex of the parabola-
- h is the horizontal shift (how far left, or right, the graph has shifted from x = 0).
- k represents the vertical shift (how far up, or down, the graph has shifted from y = 0).
In this case a = -0.5, it means that the parabola opens downward and has a maximum point at the vertex.
So, the maximum height that the balloon can reach is k=9ft.
9 ∠ 12
The balloon will not hit the ceiling 12 ft above the pool.
Feel free to ask for more if needed or if you did not understand something.
Answer:
<u>Yes, the outdoor ice skating rink should be installed.</u>
Step-by-step explanation:
We can reach this conclusion after simulating the profit for each possible scenario made by The US weather service estimates:
<u>For 80-day suitable weather per year:</u>
- total invested capital =<u> </u>$950,000 + $200,000 (total operating and maintaining cost) = $1,150,000
- per day revenue= 500 x $20 = $10,000
- total revenue per season = $10,000 x 80 days = $800,000
- total operating and maintaining cost = $2,500 x 80 = $200,000
- total profit (returns) in a season = $800,000-$200,000<u> = $600,000</u>
- per year rate of return before taxes = 52% (total profit / total invested capital *100; $600,000/$1,1150,000 *100 = 52%
<u>For 100 days suitable weather per year:</u>
- total invested capital =<u> </u>$950,000 + $200,000 (total operating and maintaining cost) = $1,150,000
- per day revenue= 400 x $20 = $8,000
- total revenue per season = $8,000 x 100 days = $800,000
- total operating and maintaining cost = $2,500 x 100 = $250,000
- total profit (returns) in a season = $800,000-$250,000<u> = $550,000</u>
- per year rate of return before taxes = 52% (total profit / total invested capital *100; $550,000/$1,1150,000 *100 = 47%
<u>For 120 days suitable weather per year:</u>
- total invested capital =<u> </u>$950,000 + $200,000 (total operating and maintaining cost) = $1,150,000
- per day revenue= 300 x $20 = $6,000
- total revenue per season = $6,000 x 120 days = $720,000
- total operating and maintaining cost = $2,500 x 120 = $300,000
- total profit (returns) in a season = $800,000-$250,000<u> = $420,000</u>
- per year rate of return before taxes = 52% (total profit / total invested capital *100; $420,000/$1,1150,000 *100 = 58%
Threfore, we notice that the 22% per year rate of return before taxes criteria was met in each of the possible scenarios, making the endeavor worthwhile.
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Answer: 255
Step-by-step explanation:
72 grams because 8 servings * 9 grams equals 72
