Answer:
$204
Step-by-step explanation:
The question is at what price x will the company maximize revenue.
The revenue function is:

The price for which the derivate of the revenue function is zero is the price the maximizes revenue:

The company will maximize its revenue when the price is $204.
Answer:
43
Step-by-step explanation:
43 is a prime number
Answer:
$227
Step-by-step explanation:
First we can add up the withdrawals(63, 74, and 39) which is 176. We can then subtract 176 from 212 to get 36.
So, after the withdrawals Steven has 36 dollars.
We can add the deposits together to get 191. We can then add 191 to 36 to get 227.
By definition we have the following equation:
t = d / v
Where,
t: time
d: distance
v: speed
For this case we have:
d / 30 + d / 4 = 17
Rewriting we have:
2d + 15d = 17 (60)
17d = 17 (60)
d = 60 mi
Then, the walking time is
t = d / v
t = 60/4
t = 15 hours
Answer:
She walked
t = 15 hours
Answer:
T < - 4°C
Step-by-step explanation:
Given that Mariana wears her coat only when temperature is colder than - 4°C
Recall that lower temperature values indicate higher degree of coldness ;
Hence, Mariana will only wear her coat when temperature values are lesser than - 4°C ; this means that the temperature at that period is colder than - 4°C.
Hence, the inequality expression which is only true for temperatures when Mariana wears her coat can be written as :
Temperature = T
T < - 4°C