Answer:
The total profit when 240 members are enrolled is:
3,587,212.8 cents
Step-by-step explanation:
First of all, the total profit function is gotten by integrating the marginal profit function.
Integrate thus:
Total Profit = P(x) = [-0.0008x^4 ÷ 4] + [0.35x^3 ÷ 3] + [45.5x^2 ÷ 2]
P(x) = 0.0002x^4 + 0.1167x^3 + 22.75x^2
Next, substitute 240 for x, in the total profit function.
P(x) = 0.0002[240]^4 + 0.1167[240]^3 + 22.75[240]^2
P(x) = 663552 + 1613260.8 + 1310400
P(x) = 3,587,212.8 cents
Equivalent to $35,872.128
Answer:
2 gallons
Step-by-step explanation:
(1.5 gallons)/(3/4 Room) = 2 gallons/Room
To draw the median of the triangle from vertex A, the mid point of BC must be determined. The median of the vertex A is given at (-1/2, 1). See explanation below.
<h3>How you would draw the median of the triangle from vertex A?</h3>
Recall that B = (3, 7)
and C = (-4, -5).
- Note that when you are given coordinates in the format above, B or C = (x, y)
- Hence the mid point of line BC is point D₁ which is derived as:
D₁
, ![(\frac{7-5}{2}) ]](https://tex.z-dn.net/?f=%28%5Cfrac%7B7-5%7D%7B2%7D%29%20%5D)
- hence, the Median of the Vertex A = (-1/2, 1).
Connecting D' and A gives us the median of the vertex A. See attached graph.
<h3>What is the length of the median from C to AB?</h3>
Recall that
A → (4, 2); and
B → (3, 7)
Hence, the Midpoint will be
, ![(\frac{2+7}{2} )]](https://tex.z-dn.net/?f=%28%5Cfrac%7B2%2B7%7D%7B2%7D%20%29%5D)
→ 
Recall that
C → (-4, 5)
Hence,
= ![\sqrt{[(-4 -\frac{7}{2} })^{2} + (-5-\frac{9}{2} )^{2} ]](https://tex.z-dn.net/?f=%5Csqrt%7B%5B%28-4%20-%5Cfrac%7B7%7D%7B2%7D%20%7D%29%5E%7B2%7D%20%20%2B%20%28-5-%5Cfrac%7B9%7D%7B2%7D%20%29%5E%7B2%7D%20%5D)
Simplified, the above becomes
= √(586)/2)
= 24.2074/2
= 12.1037
The length of the Median from C to AB ≈ 12
Learn more about Vertex at;
brainly.com/question/1435581
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Using the arithmetic formula a1 + (n-1) d, a1 being the first term, n being the number you’re looking for and d being the common difference, you will get the answer of -57.
Here’s the work:
27 + (29 - 1) -3
27 + (28) -3
-57