Answer:
a) $2,641,885.90
b) $264,188.59
Step-by-step explanation:
The total profit is the integral of the marginal profit. The marginal profit is the difference between marginal revenue and marginal cost.
a) To find the total profit for the first 10 days, we evaluate P(10):
P(10) = 120(e^10 -1) -120(10) +0.3(10^2) = 120(22026.4658 -1) -1200 +30
P(10) = 2,641,885.90 . . . . rounded to cents
The total profit from day 0 to day 10 is $2,641,885.90.
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b) The average daily profit is the total profit divided by the number of days:
average profit per day = P(10)/10 = $264,188.59
The average daily profit for the first 10 days is $264,188.59.
Answer:
159 m
Step-by-step explanation:
From the information given:
It was stated that if the ostrich ran towards the east direction in 7.95 s, let say the distance from the starting point is O towards the east side E, let called the distance towards the east side to be OE.
Again, the ostrich then runs in the south direction for 161 m, let the distance be OS.
Also, let the magnitude of the resultant displacement between the east direction to the south direction be ES = 226m.
We are to find, the magnitude of the ostrich's eastward component.
i.e. The distance traveled from the center to the east direction within the time frame of 7.95 s.
Using the Pythagoras rule:
ES² = OE² + OS²
226² = OE² + 161²
226² - 161² = OE²
OE² = 226² - 161²
OE² = 51076 - 25921
OE² = 51076 - 25921
OE² = 25155
OE = 158.60 m
OE ≅ 159 m
Thus, the magnitude of the ostrich's towards the eastward component. = 159 m.
Answer:6
Step-by-step explanation:Four ounces of oregano and 2 ounces of garlic powder are mixed to create a poultry seasoning. Oregano costs $4 per ounce, and garlic powder costs $3 per ounce.
108x/56x Hope that helps.