The dimensions such as length is 18 and width is 16 or length is 32 and width is 9 will produce an enclosed area of 288ft.
<h3>What is the dimension of length and width?</h3>
We know that,
P = l + 2w
50 = l + 2w
50 - 2w = l
A = l x w
288 = (50 - 2w)w
288 = 50w -2w²
2w² - 50w + 288
By dividing throughout by 2
w² - 25w + 144
This is in quadratic equation form.
By applying quadratic formula,
w = (-(-25) ±
) / 2
w = (-(-25) ± 7)/2
w1 = (-(-25) + 7)/2
w1 = (25 + 7) / 2
w1 = 16
w2 = (-(-25) - 7)/2
w2 = (25 - 7) / 2
w2 = 9
By substituting the values in eq1,
A = l x w
if w = 16
288 = l x 16
l = 288/16
l = 18
if w = 9
288 = l x 9
l = 288/9
l = 32
The dimensions will be length is 18 and width is 16 or length is 32 and width is 9.
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Answer:
229.7125
Step-by-step explanation:
Answer:
choose "infinitely more solutions"
Step-by-step explanation:
Let's solve this system by substitution method
y+1=2x
- 1 = - 1
y = 2x -1 <-- sbstitute this in the next equation
---------------------------------------------------------------------------------
5y+5 = 10x
5(2x -1) + 5 = 10x
10x -5 + 5 = 10x
10x + 0= 10x
- 10x = -10x
0 = 0 <-- infinitely more solutions
The gradient formula is (y2-y1)/(x2-x1) aka rise/run, where by (x1,y1) and (x2,y2) are two points on the line.
In this case, the gradient
= -5-(-2))/(2-(-2))
= -3/4
Answer:
Without price increase, Cost/night = $119
Average occupancy = 372 The revenue will be 119*372 = $44,268
For every $15 price increase, the occupancy decreases by 25. Therefore with x price increases, The revenue will be $(119 + 15x)*(372 25x)
Cost/night = $119 + 15x Occupancy = 372 - 25x
Answer:
The nightly cost with x $15 price increases is $119 + 15x.