The area is given by:
A = x * y = 834
The cost equation is given by:
C = 6 * (2x) + 3 * (y)
We express the equation in terms of a variable:
C (x) = 6 * (2x) + 3 * (834 / x)
Rewriting:
C (x) = 12x + 2502 / x
We derive the equation:
C '(x) = 12 - 2502 / x ^ 2
We match zero:
0 = 12 - 2502 / x ^ 2
We clear x:
x = root ((2502) / (12))
x = 14.4 feet
We look for the other dimension:
y = 834 / x
y = 834 / 14.4
y = 57.9 feet
Answer:
The dimensions of the enclosure that can be erected at minimum cost are:
x = 14.4 feet
y = 57.9 feet
Jordan will pay 7,980 in interest.
Explanation:
To find interest, you need to multiply the principle or what you are borrowing, by the interest-rate, Or percent. After that you multiply it by the time in this case seven years. After that you get 7980. Hope I helped!
The radii and the heights of the two cylinders are
- Cylinder 1: Height = 6 and Radius = 5
- Cylinder 2: Height = 10 and Radius = 3.87
<h3>How to determine the combinations of radius and height?</h3>
The volume of a cylinder is
V = πr²h
When the volumes of two cylinders are almost equal, then it means that:
V1 ≈ V2
This gives
πr²h ≈ πR²H
Divide both sides by π
r²h ≈ R²H
Assume that r = 5 and h = 6
So, we have:
5² * 6 ≈ R²H
Evaluate the product
150 ≈ R²H
Assume H = 10
So, we have:
150 ≈ R² * 10
Divide by 10
R² ≈ 15
Take the square root of both sides
R ≈ 3.87
Hence, the radii and the heights of the two cylinders are
<u>Cylinder 1</u>
Height = 6 and Radius = 5
<u>Cylinder 2</u>
Height = 10 and Radius = 3.87
Read more about cylinder volume at:
brainly.com/question/9554871
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1.) the y intercept is 490 and the slope is -2/3x
2.) First, I would find the point (0,490) and plot a point there. Then I would use our slope -2/3 to figure out what direction and what angle the line goes by counting 2 down and 3 to the right
3.) f(x)= -2/3x+490
The graph represents how many wraps could've been sold for each number of sandwich sales to keep the same profit of $1,470.
4.) graph down below
5.) the profits are the same (slope) but the y intercept is higher then the original graph.
6.) y=-2/3x+300