- Midpoint formula is
.
<h3>19.</h3>
So starting with this one, we will be solving for the coordinates of the unknown endpoint separately. Starting with the x-coordinate, since we know that the midpoint x-coordinate is 5 and the x-coordinate of N is 2, our equation is set up as such: 
From here we can solve for the x-coordinate of Q.
Firstly, multiply both sides by 2: 
Next, subtract both sides by 2 and your x-coordinate is 
With finding the y-coordinate, it's a similar process as with the x-coordinate except that we are using the y-coordinates of the midpoint and endpoint N.
<u>Putting it together, the missing endpoint is (8,4).</u>
<em>(The process is pretty much the same with the other problems, so I'll go through them real quickly.)</em>
<h3>20.</h3>
<u>The missing endpoint is (7,2).</u>
<h3>21.</h3>
<u>The missing endpoint is (-5,1).</u>
The range is the set of all valid
y
y
values. Use the graph to find the range.
Interval Notation:
(
−
∞
,
∞
)
Answer:
$27,643
Step-by-step explanation:
The net present value is the present value of after tax cash flows from an investment less the amount invested.
The formula for the NPV can be found in the attached image.
The NPV can be found using a financial calculator:
The cash flow for year zero = $-36,000
Cash flow from year one to three = $19,000
Cash flow for year four =$19,000 + $5,000 = $24,000
I = 10%
NPV = $27,643
I hope my answer helps you
Answer:
5 divided by 100
Step-by-step explanation
5 divided by 100 is 0.05 but as a fraction, it's 1/20
Answer:
(x, y) = (-4, 15)
Step-by-step explanation:
The two equations have the same coefficient for y, so you can eliminate y by subtracting one equation from the other. Here the x coefficient is largest for the first equation, so it will work best to subtract the second equation.
(3x +y) -(2x +y) = (3) -(7)
x = -4 . . . . . . . . simplify
Now, we can find y by substituting this value for x.
2(-4) +y = 7
y = 7 +8 = 15 . . . . . add 8 to both sides of the equation
The solution is (x, y) = (-4, 15).
