Answer:
Step-by-step explanation:
present value of dividend for three years =
2.50 x 1.2 / 1.15 + 2.5 x 1.2² / 1.15² + 2.5 x 1.2³ / 1.15³
= 2.6087 + 2.722 + 2.84
= 8.17
present value of future cash flow after three years
= 2.5 x 1.2³ x 1.08 / .15 - .08
66.65
present value
= 66.65 / 1.15³ = 43.823
Total present value = 43.823 + 8.17
= 52 approx .
Answer:
Opening: Opens upwards
Axis of Symmetry: -7/2
Vertex: (-7/2, -81/4)
X - intercepts: (1, 0) and (-8, 0)
Y - intercept: (0, -8)
Step-by-step explanation:
Opening: 'a' is greater than zero
Axis of Symmetry:

Vertex:

X - intercepts:
(x-1)(x+8)
x = 1 and x = -8
Y - intercept: (0, -8)

Answer:
The number of solutions to the given set of equations is 0.
Step-by-step explanation:
Number of solutions of a system of equations:
System of equations: ax = b
If a = 0 and b = 0, infinite solutions.
If a = 0 and b != 0, zero solutions.
If a != 0 and b != 0, one solution.
We are given the following system of equations:
y = 7x + 12
y = 7x + 2
So
7x + 12 = 7x + 2
7x - 7x = 2 - 12
0x = -10
a = 0, b != 0, so zero solutions.
The number of solutions to the given set of equations is 0.
Answer:
y = 6/5
Step-by-step explanation:
3x - 5y = -3
Let x =1
3(1) - 5y = -3
3-5y = -3
Subtract 3 from each side
3-3-5y = -3-3
-5y = -6
Divide each side by -5
-5y/-5 = -6/-5
y = 6/5