Answer:
5
Step-by-step explanation:
Answer:
The correct answer is 0.5 pounds of pollutant.
Step-by-step explanation:
According to the problem the cost of controlling emissions at a firm is given by:
C(q) = 1,260 + 100 × , where q is the reduction in emissions (in pounds of pollution per day) and C is the daily cost to the firm (in dollars) of this reduction.
Government clean-air subsidies amount to $100 per pound of pollutant removed per day.
Net cost = C(q) - Subsidy
⇒ Net Cost = 1,260 + 100 × - 100 × q.
In order to minimize net cost we calculate, (Net cost) = 0.
⇒ 200 × q - 100 = 0
⇒ q = 0.5
We can see that the second order derivative is positive and thus the net cost minimizes.
Thus the firm should remove 0.5 pounds of pollutant each day in order to minimize net cost.
The lateral area of that prism consists of 4 rectangles.
h = 0.3 dm = 30 cm.
The lateral area:
A = ( a + b + c + c ) · h
A = ( 5 + 3 + 4 + 4 ) · 30
A = 16 · 30 = 480 cm²
Answer: The lateral area of the prism is 480 cm².
Answer:
75 miles
Step-by-step explanation:
Distance Traveled at first 60 min.
let distance be d1, speed be d1 and time be t1
d1 = ?
t1 = 60 min = 1 hr
s1 = 40mil/hr.
d1 = t1 * s1
d1 = 1 * 40
d1 = 40 miles
Part 2
distance = d2 = ?
speed = s2 = 70 mil/hr
time = t2 = 30 min = 0.5 hr
d2 = t2 * s2
d2 = 0.5 * 70
d2 = 35 miles
Total distance Traveled = d1 + d2
40 + 35 = 75 miles