Answer:
The graph i the attached figure
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area above the dotted line 
The slope of the dotted line is positive
The x- intercept of the dotted line is the point (2.5,0)
The y- intercept of the dotted line is the point (0,-5)
-----> inequality B
The solution of the inequality B is the shaded area below the dotted line 
The slope of the dotted line is negative
The x- intercept of the dotted line is the point (0,0)
The y- intercept of the dotted line is the point (0,0)
The solution of the system of inequalities is the shaded area between the two dotted lines
see the attached figure
Answer:
Once the equation is in standard form, factor the quadratic expression. 2x2 + 7x + 3 = 0 (2x + 1)(x + 3) = 0. Using the Zero Product Property set ...
2x2 + 7x = -3
2x2 + 7x + 3 = 0
Once the equation is in standard form, factor the quadratic expression.
2x2 + 7x + 3 = 0
(2x + 1)(x + 3) = 0
Using the Zero Product Property set each factor equal to 0 and solve for x.
2x + 1 = 0
2x + 1 - 1 = 0 - 1 x + 3 = 0
2x = -1 x + 3 - 3 = 0 - 3
2x 2 = -1 2 x = -3
x = -1 2
The solutions to the equation are -1 2 and -3.
The answer is B. The angle next to 100 degrees would be 80 as the angles are supplementary. Then you would add 80 + 70 = 150. All the angles in a triangle add to 180, thus making the "x" angle 30 due to 180 - 150.
Hope this helped :))
Answer:
The investment will generate a NPV of $2,731.
Step-by-step explanation:
Cost of an investment (PV) = $5,000
Annual cash flows = $3,000
Period of investment = 3 years
Interest rate of return = 8%
Annuity Factor = 2.577 (for 3 years at 8% per year)
Present value of the annuity = $3,000 * 2.577 = $7,731
NPV = Annuity PV minus PV of investment cost
= $7,731 - $5,000
= $2,731
b) The NPV (net present value) of $2,731 is the difference between the present value of the annual cash flows $7,731 and the investment cost of $5,000. The resulting NPV is positive and the investment should be accepted.
Answer: 4/3, or 1.333333333333333
Step-by-step explanation:
