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.
Answer:
P(t) = 258( 1 + 6%)^t
Step-by-step explanation:
Given that the population of caribou in a forest grows at a rate of 6% every year. If there are currently 258 caribou, the function representing the number of caribou in the forest in t years will be
P(t) = 258( 1 + 6%)^t
Since it is increasing, it will be 1 + 6%
Where P(t) is the function representing the population after t years.
258 is the current or initial population.
Answer:
Step-by-step explanation:
maybe 8 or 1/9
Answer:
40
Step-by-step explanation:
Angle Formed by Tangent and Secant
= 1/2 (DIFFERENCE of Intercepted Arcs)
< WVT = 1/2 ( WT - UW)
3x+4 = 1/2 (( 14x +7) - (7x+11))
Distribute
3x+4 = 1/2 ( 14x +7 - 7x-11)
Combine like terms
3x+4 = 1/2 ( 7x -4 )
Multiply each side by 2
6x +8 = 7x-4
Subtract 6x from each side
+8 = x-4
Add 4 to each side
12 =x
WVT = 3x+4
= 3*12 +4
= 36+4
= 40
<span>Francios $19.48 per hour Carissa $14 per hour Garrick $19.04 per hour Arianne $25.71 per hour</span>
