Answer: $78
Step-by-step explanation:
From the question, we are informed that the stock of Company A gained 2% today to $79.56. The opening price of the stock in the beginning of the day will be calculated as:
= [100% / (100% + 2%)] × 79.56
= (100% / 102%) × 79.56
= 1/1.02 × 79.56
= 79.56/1.02
= 78
Therefore, opening price of the stock in the beginning of the day is $78
Answer:
vertex = (0, -4)
equation of the parabola: 
Step-by-step explanation:
Given:
- y-intercept of parabola: -4
- parabola passes through points: (-2, 8) and (1, -1)
Vertex form of a parabola: 
(where (h, k) is the vertex and 
is some constant)
Substitute point (0, -4) into the equation:
Substitute point (-2, 8) and 
into the equation:
Substitute point (1, -1) and into the equation:
Equate to find h:
Substitute found value of h into one of the equations to find a:
Substitute found values of h and a to find k:
Therefore, the equation of the parabola in vertex form is:
So the vertex of the parabola is (0, -4)
Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
_____
<em>Additional comment</em>
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
Answer:
-4f-5
Step-by-step explanation:
M
a
t
h
w
a
y
Answer:
Step-by-step explanation:
3 3/4 = 15/4
÷ 
Hope this helps
