Answer:
$59
Step-by-step explanation:
Let the revenue will be maximum when $ x is increased in the ticket price.
So, the final ticket price is $(18 + x) and attendance in the concert will be (500 - 5x)
So, revenue R = (18 + x) (500 - 5x) = 9000 + 410x - 5x².......... (1)
Condition for R to be maximum is 
So, differentiating equation (1) with respect to x on both sides
⇒ x = 41
So, the ticket price for maximum revenue is $(18 + 41) = $59 (Answer)
Answer:
4
Step-by-step explanation:
use the Pythagoras' theorem
formula for an ABC triangle( right angled)
AB is height
BC is hypotenuse
CA is length
= 
+ 
in your case
AB is 7
BC is 8
CA is unknown so we write x
=
+
64=49+
64-49=
15=
=x
3.87=x
4=x
Answer:
y = 7/2x + 2
Step-by-step explanation:
To put the equation in slope intercept form [ y = mx + b ], we need to solve for y.
14x = 6y - 12
~Subtract 6y to both sides
14x - 6y = -12
~Subtract 14x to both sides
-6y = -12 - 14x
~Divide -6 to everything
y = 2 + 7/3x
~Reorder
y = 7/2x + 2
Best of Luck!
Answer:
In 50 years there'll be approximately 3582 elephants.
Step-by-step explanation:
If they are decreasing at a rate of 9% per year, it means it's population by year is:
population(0) = 400000
population(1) = population(0)*(100% - 9%) = population(0)*(91%)
population(2) = population(1)*(91%) = population(0)*(91%)*(91%) = population(0)*(91%)²
population(3) = population(2)*(91%) = population(0)*(91%)²*(91%) = population(0)*(91%)³
And so on, so the number of population as years passes is:
population(n) = population(0)*(91/100)^n
In this case we want to know the population of elephants when n = 50, so we have:
population(50) = 400000*(0.91)^50 = 3582.033
In 50 years there'll be approximately 3582 elephants.
Answer:
Solution x=16
Step-by-step explanation:
