We conclude that the profit if the company produces 10 units is 1,040 dollars.
<h3>
</h3><h3>
How to find the profit?</h3>
The profit is defined as the difference between the revenue and the costs.
In this case, we know that the revenue and costs are defined by:
R(x) = 200x - 5x^2
C(x) = 360 + 6x
Then the profit equation is:
P(x) = R(x) - C(x).
P(x) = 200x - 5x^2 - (360 + 6x)
P(x) = -5x^2 + 194x - 360
Now we want to find the profit when x = 10, then we will get:
p(10) = -5*10^2 + 194*10 - 360 = 1,040
We conclude that the profit if the company produces 10 units is 1,040 dollars.
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Green Sprinkles
Pink Sprinkles is $3.20 per pound
Blue Sprinkles is $4.00 per pound
Green Sprinkles is $2.80 per pound
the answer to this equation is 120
Answer:
y = 30
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in 20 as y and 8 as x, then solve for k:
y = kx
20 = k(8)
2.5 = k
So, the equation is y = 2.5x
Plug in 12 as x, and solve for y:
y = 2.5x
y = 2.5(12)
y = 30
So, when x = 12, y = 30
The expression representing the perimeter is 6x + 39
x = 3. 8
<h3>What is the perimeter?</h3>
The formula for perimeter of a rectangle is given as;
Perimeter = 2 ( length + width)
From the image shown, we have that:
- length = 2x
- width = x + 13
Now, let's substitute the value
Perimeter = 2 ( 2x + x + 13)
collect like terms
Perimeter = 2 ( 3x + 13)
Expand the bracket
Perimeter = 6x + 39
If perimeter = 62
62 = 6x + 39
6x = 62 - 39
6x = 23
x = 23/ 6
x = 3. 8
Thus, the expression representing the perimeter is 6x + 39
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