Let x be the number of increases of $1 a month.
Let y be the maximum profit.
The profit before the price increases:
$5-$3=$2
The profit when increasing the price:
y= (2+x x 1)(4000-400x)
y= 8000-800x +4000x -400x2 (x2: x square)
The vertex:
x= -3200/(-400 x 2) = 4
=> y= 14400
The price can maximize the profit is:
p= 3+ 2 +4x1= 9
The price can maximize the profit is $9
The maximum profit is $14400.
Answer:
There are 0.1 mililiters in 5 milimeters saline.
Step-by-step explanation:
A 2 % suspension means that 2 % of the volume of a given substance per each 100 milimeters of saline. That is:


Where:
- Suspension ratio, dimensionless.
- Saline volume, measured in milimeters.
- Substance volume, measured in milimeters.
Given that
and
, the volume of the substance is:

There are 0.1 mililiters in 5 milimeters saline.

[scomposition of 45]

[9 = 3^2, must use this notation (not 3*3)]

[We appy one of the proprieties of square roots]

[now we semplify: we must take out as much as possible all the elements under roots]
[to do that, we must divide the esponent of each element with the index of square roots (2)]
so
, 2/2 = 1
, 1/2 = 0 with 1 of rest
, 5/2 = 2 with 1 rest
[well, after do that, we can take out the elements under tbhe square roots!]
The quotient of each division is the esponent of the element out of the root
The rest of each division is the esponent of the element under the root
so:
(quotient = 1, see the first operation) *
(rest = 1, see the second operation) *
(quotient = 2, see the third operation) *
(rest = 1, see the third operation)
The final result is:
3 (=3^1) * a² * √5 * √a
3a²√5a
It's more intuitive and easy, but the explanation (necessary) is very long. If you have other questions, ask me here in the comments! Also sorry for my english, not so good!
Answer:
First: 30°
Second: 67°
Third: 83°
Step-by-step explanation:
First: x
Second: y
Third: z = y + 16
Constraints:
x + y + z = 180
y + z = 5x ===> y = 5x - z
Substitution to find first angle x:
x + y + z = 180
x + (5x - z) + z = 180
x + 5x - z + z = 180
6x = 180
x = 30
Substitution to find second angle y:
y = 5x - z
y = 5(30) - z
y = 150 - z
y = 150 - (y + 16)
y = 150 - y - 16
y = 134 - y
2y = 134
y = 67
Substitution to find third angle z:
z = y + 16
z = (67) + 16
z = 83
292 is the correct answer when n=6