To start with, 76 is 80% of 95. (76/95=0.8)
This means that we take the difference from 100% of 95 and 80% of 95, and get a 20% decrease.
Answer:
30.96 m^2
Step-by-step explanation:
Side length of the square is also the diameter of the semicircle so:
r = 0.5 * 12 m = 6 m
Since you want the area of the shaded area, you have to subtract the area of both semi circles from the area of the square:
Square Area - Semi Circle Area - Semi Circle Area = Shaded Region Area
(12 m * 12 m) - (0.5 * 3.14 * 6^2 m) - (0.5 * 3.14 * 6^2 m)
= 144 - 56.52 - 56.52
= 30.96 m^2
I'm going to assume the rate, 3.9%, is for one year.
7550 * 3.9 * 6 = $176, 670 is the simple interest earned in 6 years with a rate of 3.9% per year.
Since you have the formula, why don't you do it yourself?
Given the pair of simultaneous equation:
y=-2/5x-2
y=5x+1
To evaluate the solution of the system of equation from the graph, we obtain the point at which the two linear equations have intersected. taking the values of x and y from the point of intersection that will be the solution of the system of linear equations.
In our case the straight lines have intersected at the point (-0.5, -1.75). This implies that:
x=-0.5
y=-1.75
hence the answer is a] (-0.5, -1.75)
Answer: Vertex = (2, -15) 2nd point = (0, -3)
<u>Step-by-step explanation:</u>
g(x) = 3x² - 12x - 3
= 3(x² - 4x - 1)
a=1 b=-4 c=-1
Find the x-value of the vertex by using the formula for the axis of symmetry: 
= 2
Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3
g(2) = 3(2)² - 12(2) - 3
= 12 - 24 - 3
= -15
So, the vertex is (2, -15) ← PLOT THIS COORDINATE
Now, choose a different x-value. Plug it into the equation and solve for y. <em>I chose x = 0</em>
g(0) = 3(0)² - 12(0) - 3
= 0 - 0 - 3
= -3
So, an additional point is (0, -3) ← PLOT THIS COORDINATE
