The equation described above can also be written as,
y = -x² + 100x + 4000
To get the number of notebooks that will give them the maximum profit, we derive the equation and equate to zero.
dy/dx = -2x + 100 = 0
The value of x from the equation is 50. Then, we substitute 50 to the original equation to get the profit.
y = -(50^2) + 100(50) + 4000 = 6500
Thus, the maximum profit that the company makes is $6,500/day.
Answer:
The distance from P to origin is approximately 40.82 units.
Step-by-step explanation:
We are given the following in the data:
The point P(21,35)
We have to find the distance of point P from the origin.
Coordinates of origin: (0,0)
Distance formula:

Putting the values, we get,

The distance from P to origin is approximately 40.82 units.
Answer:
$75
Step-by-step explanation:
15 x 5 = 75
trust me bro :)
3. 140 m^3
(3 x 6 x 7) + (1 x 2 x 7) = 126 + 14 = 140
4. 216 in^3
(4 x 4 x 9) + (3 x 4 x 6) = 144 + 72 = 216
Answer:
choce 3
Step-by-step explanation:
you can add n = 1,2,3,4 ....
you will receive the values as 1, 1/2, 1/4, 1/7
........
a⁰ = 1
5⁰ = 1