Answer:
Step-by-step explanation:
Solve simultaneously
-5x-3y=9
4x-187-54=0
4x=241
x=60.25
To get y
Substitute for x in equal one
-5(60.25)-3y=9
-301.25-3y=9
-3y=9+301.25
-3y=310.25
y=-103.4
Answer:
volume is the space that fills the inside of the figure
Step-by-step explanation:
when you find the volume of the figure u have to find the space inside not surface area or the area
The difference between the rate of change of B and the rate of change of A is 15.
<h3>
How to get the difference in the rates of change?</h3>
First, we need to get the two rates of change.
We have two linear functions.
A: y = 35*x
For function A the rate of change is the slope, wich is 35.
Function B is graphed.
Remember that if a line passes through two points (x₁, y₁) and (x₂,y₂) then the slope is:
In the graph, we can see that line B passes through (0, 0) and (1, 50), then the slope is:
Then the rate of change of B is 50.
The difference between the rates of change is:
diff = 50 - 35 = 15
If you want to learn more about rates of change:
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Answer:
$45
Step-by-step explanation:
Here we need to calculate the income of this year.
We know that a year has 52 weeks. And, our payed weeks are 51, they are, the 50 weeks we work plus the one week of paid-vacation. The remaining week does not give us income, as is unpaid. So our total year income is:
51 * $615 = $31,365
So, our surplus will be our income minus our expenses:
Surplus = $31,365 - $31,320 = $45
Our cash surplus is $45