Answer:
Step-by-step explanation:
Given the Total revenue R(x) = 2x
Cost C(x) = 0.01x²+0.3x+30 where;
x = 30 and dx/dt = 9units per day.
Rate of change of revenue dR/dt = dR/dx • dx/dt
dR/dt = 2dx/dt
dR/dt = 2(9) = $18
Rate of change of revenue with respect to time is 18dollars/day.
Rate of change of cost dC/dt = dC/dx • dx/dt
dC/dt = (0.02x+0.3)dx/dt
dC/dt at x = 30 and dx/dt = 9 will give;
dC/dt = {0.02(30)+0.3}×9
dC/dt = (0.6+0.3) × 9
dC/dt = 0.9×9
dC/dt = $8.1
Rate of change of cost with respect to time is 8.1dollars/day
Profit = Revenue - Cost
Profit = 18-8.1
Daily Profit = $9.9
Answer:
1. For a cube, volume = 
2. ![\sqrt[3]{volume}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bvolume%7D)
= edge
3. Volume of the cube = 216 so, the edge = ![\sqrt[3]{216}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216%7D)
= 6
4. 1st blank = 6
2nd blank = 6
3rd blank = 216
4th blank = 216
5. 6 is the edge
6. As the room is a square and we have to find the side
Area = 121
Edge = ![\sqrt[2]{121}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B121%7D)
= 11
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
Answer:
91
Step-by-step explanation:
273 divded by 3
Answer:
8 ft
Step-by-step explanation:
if we made this into a rectangle (pretend you chop off one of the triangles and glue it to the other one to make a long rectangle), the length would be 10+4.5, or 14.5. to find what h is, we can just divide 116 by 14.5. our answer is 8.
Answer:
9
Step-by-step explanation:
Because line PQ and line PR are both tangent to circle S, it would result in them being equal. So first to find PQ, you would have to find the value of variable x. To do this you would set both equations equal to each other and solve
6x - 9 = 2x + 3
-2x -2x
4x - 9 = 3
+9 +9
4x = 12
x = 3
Now you have to substitute 3 back into the equation for PQ:
6(3) - 9
18 - 9
= 9
Resulting in PQ = 9, to check your answer, take the value of x (3) and substitute it into PR and you should also get 9
2(3) + 3
6 + 3
= 9
