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:
Height of the cone is thrice the height of the cylinder
Step-by-step explanation:
Let 'h' b e the height of the cylinder and 'H' be the height of the cone.
Volume of cylinder = base area × h
Volume of cone = 1/3 (base area)×H
Since the volumes are equal with same base areas,
base area × h = 1/3 (base area)×H
h = H/3
Or,
3h = H
Answer:
88 3/3 - 6 2/3 = 82 1/3
this is how we subract the fraction
We know that,
Volume of sphere = 4/3πr³
72 = 4/3 × 22/7 × r³
72 × 21/88 = r³
³√17.18 = r
2.58 cm = r
:)