The equation that could be used to determine L, the unknown side length of the logo is A =2.5w
<h3>How to determine the equation?</h3>
The given parameters in the question are:
- Shape: Rectangle
- Height of logo, h = 2 1/2 feet
From the question we understand that the area is at maximum.
Represent this area with A
The area of the rectangle is:
A = h * l
Where h and l are the dimensions of the rectangle.
Substitute 2 1/2 for h
A = 2 1/2 * l
Express 2 1/2 as a decimal number
A = 2.5 * l
Evaluate the product
A =2.5l
Hence, the equation that could be used to determine L, the unknown side length of the logo is A =2.5w
Read more about areas at:
brainly.com/question/24487155
Your answer is very close to being correct; however, the true answer is actually

without any parenthesis needed around the fraction. Notice how there is no (x) at the end.
Answer:
at least $450
Step-by-step explanation:
Let the amount she has in bank before depositing be x
If she had at least $550 in the bank after depositing, then;
x + 100 ≥ 550
Get the initial amount in bank
x ≥ 550 - 100
x ≥ 450
Hence the amount she has in the bank originally was at least $450
Answer:
20% profit margin!
Step-by-step explanation:
Let suppose If the cost of a bucket is $100.
As the bucket is sold to 1/5 of the bucket cost.
i.e. 1/5 × 100 = $20
We know that 20% of 100 is 20.
i.e. 20/100 × 100 = 20
It mathematically means if the cost of the bucket was 100, and he sold at a profit equal to one - fifth of its cost price. It indicates that he earned a $20 profit. In other words, the person got a 20% profit percentage.
Note: I tried to take sample costs like $100 to make you understand as simple as I can.
Thus, if a bucket is sold at a profit equal to one - fifth of its cost price, the profit margin will always 20%, because if there are 5 parts of an object, 1 part makes the 20%.
I hope you get my point.
Given that the directrix is at y = 4 and the focus is at (0, -4), then the vertex is at (h, k) = (0, 0).
p is the distance between the vertex and the focus and between the vertex and the directrix = 4 and since the focus is below the directrix, p is negative, i.e. p = -4
Equation of a parabola is given by (x - h)^2 = 4p(y - k)
Therefore, the required equation is (x - 0)^2 = 4(-4)(y - 0)
x^2 = -16y
y = -1/16 x^2