Answer:
a) The demand function is

b) The nightly revenue is

c) The profit function is

d) The entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.
Step-by-step explanation:
a) Lets find the slope s of the demand:

Since the demand takes the value 79 in 7, then

b) The nightly revenue can be found by multiplying q by p

c) The profit function is obtained from substracting the const function C(p) from the revenue function R(p)

d) Lets find out the zeros and positive interval of P. Since P is a quadratic function with negative main coefficient, then it should have a maximum at the vertex, and between the roots (if any), the function should be positive. Therefore, we just need to find the zeros of P

Therefore, the entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.
The answer is d.
Finding area of ABCD :
- Find side length
2. Apply formula to find area
Finding area of GHIA :
Finding area of DEFG :
Now, let's see whether is true.
- Area (ABCD) - Area (GHIA) = Area (DEFG)
- 25 - 16 = 9
- 9 = 9
∴ Hence, it is proved √
Answer:
24ft²
Step-by-step explanation:
divide up the shape:
big triangle:
(looking for base)
9.8²= 4² + b²
b = 8.95ft
(finding area)
0.5*8.95*4 = 17.9ft²
small triangle:
(looking for base)
12-8.95=3.05ft
(finding area)
0.5*3.05*4 = 6.1ft²
Whole Shape:
17.9+6.1 = 24ft²
Answer: To simplify this problem you combine the like terms in the equation (numbers with the same variables.)
Demo: 12r + -4r = 8r
Answer:
5
Step-by-step explanation:
4*10x=40x
4*2=8
40x-8=192
40x=192+8
=200
X= 200/40
=5