N = regular rate
1.4n= overtime rate
30n + 5(1.4n) = $436.60 (30 hours x regular rate n) plus 5 hours at 1.4 times reg rate.
30n + 7n = $436.60 now add like terms
37n = $436.60 now divide both sides by 37
n= $11.80
Check to see if my answer is reasonable 30 x 12= 360 + 5 x 10 x 1.4 = about 70 (notice that I used 10 instead of 12 here so I could do it in my head)
360 + 70 = 430 - close enough - my answer is reasonable
Check:
(30 x $11.80) + 5 ( 1.4 x 11.80
354 + 5( 16.52)
354 + 82.60 = 436.60 ($436.60)
Answer:
The maximum height is 784 feet
Step-by-step explanation:
In this problem we use the kinematic equation of the height h of an object as a function of time

Where
is the initial velocity and
is the initial height.
We know that

Then the equation of the height is:

For a quadratic function of the form 
where
the maximum height of the function is at its vertex.
The vertice is

In this case

Then the vertice is:

Now we calculate h (6)

The maximum height is 784 feet
Answer:
Distance (rounded to the nearest hundredth): 2.23
Slope: -2
Step-by-step explanation:
The answer is c mean = median
It is very simple it would be positive but would remain 35