The area of the whole rectangle is 91cm. Subtract 2 because of what is not shaded in the bottom right, then subtract 12 from what is not shaded in the top left. That leaves you with 77cm of shaded area.
First let's get rid of the x by multiplying the tip equation by -2
-2 (-6x - 2y = -4)
+
(-12x - 5y = -13)
Distribute
(12x + 4y = 8)
+
(-12x - 5y = -13)
x cancels out and you're left with
-1y = -5
y = 5
Now solving for x, plug in your y into one of the equations
-6x - 2(5) = -4
-6x - 10 = -4
-6x = 6
x = -1
(-1 , 5) is the solution
You would say TS is the same as they are the same line
It would look like this: TS=same
Let C₀ be current consumption. Then consumption (C) after t years is:
<span>C(t) = C₀ * (1 + 0.1)^t </span>
<span>C(t) = C₀ * (1.1)^t </span>
<span>After 10 years, consumption will be: </span>
<span>C(10) = C₀*(1.1)^10 </span>
<span>C(10) = 2.5937424601 C₀ </span>
<span>Total percentage increase after 10 years: </span>
<span>(2.5937424601 C₀ - C₀) / C₀ = 1.5937424601 C₀ / C₀ = 1.5937424601 = 159.37% </span>
<span>Utility company will have to increase generating capacity by 159.37%</span>
30 + 25x= 130, the 30 is a one time charge since this is only asking about one day, we don't how much it is per mile so that is X and if you traveled 25 miles it would be 25 times X, which is whatever the cost per mile is, equals the total amount the person paid which is 130
