Answer:
3600
Step-by-step explanation:
0.1*4000=400
4000-400=3600 gallons
Answer:
The magnitude is 
The direction is
i.e toward the x-axis
Step-by-step explanation:
From the question we are told that
The function is 
The point considered is 
Generally the maximum rate of change of f at the given point and the direction is mathematically represented as
![\Delta f(x,y) = [\frac{\delta (9sin(xy))}{\delta x} i + \frac{\delta (9sin(xy))}{\delta y} i ]](https://tex.z-dn.net/?f=%5CDelta%20f%28x%2Cy%29%20%3D%20%20%5B%5Cfrac%7B%5Cdelta%20%20%289sin%28xy%29%29%7D%7B%5Cdelta%20x%7D%20i%20%20%2B%20%5Cfrac%7B%5Cdelta%20%20%289sin%28xy%29%29%7D%7B%5Cdelta%20y%7D%20i%20%20%20%5D)
![\Delta f(x,y) = [9y cos (x,y) i + 9xcos (x,y) j]](https://tex.z-dn.net/?f=%5CDelta%20f%28x%2Cy%29%20%3D%20%5B9y%20cos%20%28x%2Cy%29%20i%20%2B%20%209xcos%20%28x%2Cy%29%20j%5D)
At 
![\Delta f (0,8) = [9(8) cos(0* 8)i + 9(8) sin(0* 8)j ]](https://tex.z-dn.net/?f=%5CDelta%20%20f%20%280%2C8%29%20%3D%20%20%5B9%288%29%20cos%280%2A%208%29i%20%20%2B%209%288%29%20sin%280%2A%208%29j%20%20%5D)

Answer:
Dividends = $105000
So option (c) will be correct answer
Step-by-step explanation:
We have given that Retained earning on 12/31/18 is $475000
And retained earning on 12/31/18 is $445000
Net income = $135000
Change in retained income = $475000-$445000 = $30000
We have to find dividends
We know that dividends is given by
Dividends = net income - change in retained income = $135000-$30000 = $105000
So option (c) will be correct answer
Part A: Let x and y be the number of persons attending the two-day conference and y be the number of vouchers released. The equation that would best express the given is,
y = 4x
Part B: The number of people attending the conference is determined by dividing the given number of vouchers by 4. The answer is 956.
Answer:
x= -8
Step-by-step explanation:
This can be done several ways:
The easiest is to factor out 12 from both sides so:
12(9-6x) = 12 (58-1)
12(9-6x) = 12 (57)
Cancel 12 from both sides so:
9-6x = 57, then...
-6x = 48
x= -8