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timurjin [86]
3 years ago
9

Brainliest answer guaranteed URGENT

Mathematics
1 answer:
UNO [17]3 years ago
7 0

Answer:

y=-6.6 and y=10.6

Step-by-step explanation:

The given ellipse has equation:

\frac{(y-2)^2}{64}+\frac{x^2}{9}=1.

The center of this ellipse is (h,k)=(0,2)

We use the equation: a^2-b^2=c^2 to determine the foci.

\implies 64-9=c^2

\implies 55=c^2

\implies c=\pm \sqrt{55}

The directrices are given by y=k\pm\frac{a^2}{c}

y=2\pm\frac{64}{\sqrt{55}}

y=2\pm8.6

y=2-8.6 and y=2+8.6

The equation of the directrices are:

y=-6.6 and y=10.6

The correct answer is D

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A circle passes through point (-2, -1) and its center is at (2, -1). Which equation represents the circle?
Anastaziya [24]

Answer:

  \text{A)}\qquad (x-2)^2+(y+1)^2=16

Step-by-step explanation:

The formula for a circle of radius r centered at (h, k) is ...

  (x -h)^2 +(y -k)^2 = r^2

Both of the given points are on the line y=-1. The distance between them is the difference of their x-coordinates, 2 -(-2) = 4. So, the radius of the circle is 4 and the equation becomes ...

  (x -2)^2 +(y -(-1))^2 = 4^2

  (x -2)^2 +(y +1)^2 = 16 . . . . . . . . . matches choice A

7 0
3 years ago
The Campbell Company is considering adding a robotic paint sprayer to its production line. The sprayer's base price is $1,020,00
tatyana61 [14]

1. The Year-0 net cash flow is -$1,061,500.

2. The net operating cash flows in Years 1, 2, and 3 are as follows:

Year 1: $288,750 ($386,000 x 1 - 0.25)

Year 2: $288,750 ($386,000 x 1 - 0.25)

Year 3: $288,750 ($386,000 x 1 - 0.25)

3. The additional Year-3 cash flow (i.e, the after-tax salvage and the return of working capital) is $468,750 {($599,000 x 1 - 0.25) + $19,500}.

4. The NPV of the project is ($13,139).

5. The machine should not be purchased because it does not yield a positive NPV.

<h3>What is the net present value?</h3>

The net present value (NPV) shows the difference between the present value of cash inflows and the present value of cash outflows over a period of time.

It is determined by calculating the present values of cash flows using their present value factors as below:

<h3>Data and Calculations:</h3>

Initial cash outlay = $1,061,500 ($1,020,000 + $22,000 + $19,500)

Salvage value = $599,000

Increase in net working capital = $19,500

Annual savings before tax = $386,000

Tax rate = 25%

Annuial savings after tax = $288,750 ($386,000 x 1 - 0.25)

<h3>Determination of Net Present Value (NPV):</h3>

Year      Cashflows        PV Factor     Present Value

0          -$1,061,500               1             -$1,061,500

1              $288,750          0.901           $260,164

2             $288,750          0.812          $234,465

3             $288,750          0.731            $211,076

3             $468,750          0.731          $342,656

Net present value                                -$13,139

Thus, the project should not be undertaken by The Campbell Company due to the negative NPV that it yields.

Learn more about determining the NPV at brainly.com/question/18848923

#SPJ1

5 0
2 years ago
What is the area of this partial circle with a radius of 14 inch
AveGali [126]

Step-by-step explanation:

Since this circle is partial we will divide the area of the whole circle by 2

the area of a circle is expressed by \pi r^2 so insert 14 for the radius.

14^2\pi

196\pi

divide the area by 2

98\pi=307.876

Hope that helps :)

6 0
3 years ago
number of cars sold in a dealership on each day of may. is it A the data are a time series because of the data are measured over
KengaRu [80]
B is the answer.....
3 0
3 years ago
Find the area of a square with side lengths of 2/5 inch
bulgar [2K]
The area of the square would be 4/25 here is the work:

Area of an 2d shape: length * width

For a square it is 2/5 * 2/5

You multiply the two numbers and you should get 4/25.


If helped mark me the brainiest!!
4 0
3 years ago
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