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Anna [14]
2 years ago
12

Find the components of the vector v with initial point P and terminal point Q. Find the unit vector u in the direction of v.

Mathematics
1 answer:
love history [14]2 years ago
8 0

Answer:

Step-by-step explanation:

v=Q-P

v=(5,1,0)

u=v/(magnitude of v)=(5,1,0)/(\sqrt{5^2+1^2+0^2)

u=(5/5.09,1/5.09,0)

v=Q-P

v=(1,1,0)

u=v/(magnitude of v)=(1,1,0)/(\sqrt{1^2+1^2+0^2)

u=(1/\sqrt{2},1/\sqrt{2},0)

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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
Solve the proportion: 5/x+7=3/x+3
Allushta [10]

Answer:

x=3

Step-by-step explanation:

cross multiply

5(x+3)=3(x+7)

5x+15=3x+21

5x+15-3x=3x+21-3x

2x+15=21

2x+15-15=21-15

2x=6

x=3

7 0
2 years ago
4f2 + 3h - g+f
Bas_tet [7]

Answer:

can't be simplified or you can add you get the answer

4 0
2 years ago
Michael can clean the store in 6 hours. Together him and Lebron can clean the same store in 2 hours. How long would it take for
Contact [7]

Answer:

4 hours.

Step-by-step explanation:

The difference between 6 and 2 is 4.

3 0
3 years ago
Helpppppppppppppppppppp
Sliva [168]
a_1=11+(1-1)(4)=11+0=11\\\\a_2=11+(2-1)(4)=11+4=15

so:

a_2=a_1+\,?\\\\15=11+\,?\\\\\boxed{?=4}

Answer B.
8 0
3 years ago
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