Answer:
Step-by-step explanation:
Natsano can satisfy his constraints by investing the first $20,000 in Company A, then splitting the remaining $35,000 evenly between the companies. For best return, he needs to invest as much as possible in Company B, but each such dollar (after the first 20k) must be matched by a dollar invested in Company A. That is, his investments should be ...
- Company A: $37,500
- Company B: $17,500
_____
The attached graph shows the feasible region of investments (doubly shaded). The vertex that maximizes the objective function (return on investment) is the one highlighted. (It puts the objective function line as far as possible from the origin.)
_____
Sometimes graphing the constraints is more work than necessary if there is some simple logic that quickly identifies the solution.
The three side length that describes the triangle in the image attached below are: 5 cm, 12 cm, and 13 cm.
<h3>What is a Triangle?</h3>
A triangle is a shape that has three sides. The sides can be measured using a ruler.
The sides of the triangle in the image shown have side lengths as measured by the ruler beside each of the sides, which are 5 cm, 12 cm, and 13 cm.
Therefore, the three side lengths of the triangle in the diagram are: 5 cm, 12 cm, and 13 cm.
Learn more about triangle on:
brainly.com/question/2437195
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Answer:
40ft
Step-by-step explanation:
What you need to know is the formula for the air of a rectangle:
the long side * the short side.
First calculate the area of the rectangle in the middle: 3*8=24ft
Then we are left with two right-angled triangles, one on the left and one on the right. If we juxtapose them, we realize that it forms a rectangle whose large side measures 8 and the small 2 so 2*8=16ft.
Finally, just add the area of the middle rectangle with the area of our rectangle formed by the two triangles on the right and on the left. So 16+24=40ft
Answer:
Suppose that the batch has N liters of paint.
we know that the recipe is:
1/2 of red paint
1/3 of yellow paint
1/6 of white paint.
Then, out of the N liters, 1/2 is red.
This means that we must use:
N/2 liters of red paint.
And the same for the other two colors:
N/3 liters of yellow paint
N/6 liters of white paint.
When we add those 3, we have:
(N/2 + N/3 + N/6) = (3*N/6 + 2*N/6 + N/6) = N.
Now, if for example N = 2
Then the batch has 2 liters of paint, this would mean that we must use:
2/2 liters of red paint
2/3 liters of yellow paint
2/6 liters of white paint.
