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Svetradugi [14.3K]
3 years ago
15

Write an equation in standard form for the circle?

Mathematics
1 answer:
elixir [45]3 years ago
5 0

Answer:

<h2>(x - 3)² + (y - 5)² = 64</h2>

Step-by-step explanation:

The standard form of an equation of a circle:

(x-h)^2+(y-k)^2=r^2

(h, k) - center

r - radius

Look at the picture.

We have

center at (3, 5) → h = 3 anf k = 5

radius r = 8

Substitute:

(x-3)^2+(y-5)^2=8^2\\\\(x-3)^2+(y-5)^2=64

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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 value of x makes the equation ×/7 - 5 = ×/2 + 4 true?
Pepsi [2]
X = -126/5 or -25.2 or -25 1/5
3 0
3 years ago
You are shopping for clothes. You decide to buy jeans from a store that is offering a special of $40.55 for a pair of jeans. You
abruzzese [7]

Answer:

$243.30

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40.55 * 6 = 243.3

= $243.30

4 0
3 years ago
Melinda bought 6 bowls for $13.20. what was the unit rate in dollars
never [62]
<u>6
</u>13.20
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6 0
3 years ago
How do you graph? <br> y=−4/3x+8y
trasher [3.6K]

How do we graph anything? Make a table of values for x and y and then plot each point. After plotting each point on the xy-plane, connect each point with a straight line or curve (depending on the function).


In this case, we must first isolate y.


y = (-4/3)x + 8y


y - 8y = (-4/3)x


-7y = (-4/3)x


y = (-4/3)x ÷ (-7)


y = (4/21)x


Now follow the steps above.


8 0
3 years ago
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