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
Answer:
B) 5, 20, 80, 320
Step-by-step explanation:
Complete question
Given the recursive formula shown, what are the first 4 terms of the sequence?
f(1) = 5 if n=1
f(n) = 4f(n-1) if n> 1
A) 5. 25, 100, 400
B) 5, 20, 80, 320
C) 5, 25, 125, 625
D) 5. 14, 60, 236
Get f(2)
f(2) = 4f(2-1)
f(2) = 4f(1)
f(2) = 4(5)
f(2) = 20
Get f(3)
f(3) = 4f(3-1)
f(3) = 4f(2)
f(3) = 4(20)
f(3) = 80
Get f(4)
f(4) = 4f(4-1)
f(4) = 4f(3)
f(4) = 4(80)
f(4) = 320
Hence the first 4 terms of the sequence are 5, 20, 80 and 320
Answer:
I think its option 1
Step-by-step explanation:
If inserted into a calculator, it should give you around 
Answer:
units
Step-by-step explanation:
(4, 4) & (9, 3)
To find the distance of two points, we use the distance formula:

Let's plug in what we know.

Evaluate the parentheses.

Evaluate the exponents.

Add.

Evaluate the square root.
or
units
Round to the nearest 10th.
units
Hope this helps!