Answer:
$85
Step-by-step explanation:
5000 x $70 = $350,000
4950 x $71 = $351,450
4900 x $72 = $352,800
etc.
Create an equation for the monthly revenue:
f(n) = (5000 - 50n) x (70 + n)
= 350000 + 5000n - 3500n - 50n²
= 350000 + 1500n - 50n²
where n is the amount the ticket price is increased from $70.
Differentiate, equal to zero and solve for n to find the value of n when the monthly revenue is at its maximum:
f'(n) = 1500 - 100n
1500 - 100n = 0
1500 = 100n
15 = n
Therefore, the maximum monthly revenue is when n = 15.
So the cost of the ticket will be 70 + n = 70 + 15 = 85
Do 45/225 and simplify and that’s your answer
Answer:
78 adult tickets were sold
2x + x = 234
3x = 234
x = 78
Largest doll = 12 inches
2nd doll = (12) x 0.7
3rd doll = (12 x 0.7) x 0.7
4th doll = [(12 x 0.7) x 0.7) x 0.7
So, the height of the nth doll can be expressed as: 12 x 0.7^(n-1)
Example: 4th doll = 12 x 0.7^(4-1) = 12 x 0.7^3
