Answer:
Builtrite D should purchase the machine
Step-by-step explanation:
Cash outflow in year zero = $ 500,000 + $ 25,000 ( training cost ) + $ 30,000 ( Net working capital)
Cash outflow in year zero = $ 555,000
Terminal cash flow in year 10 = $ 150,000 + $ 30,000 ( NWC)
Terminal cash flow in year 10 = $ 180,000
Operating cash flow per year = [ Savings - expenses - depreciation ] X ( 1 - tax rate) + depreciation
Net present value = ![-500,000 + \frac{116,000}{1.15^1} + \frac{116,000}{1.15^2} +...+ \frac{180,000}{1.15^{10}}](https://tex.z-dn.net/?f=%20-500%2C000%20%2B%20%5Cfrac%7B116%2C000%7D%7B1.15%5E1%7D%20%2B%20%5Cfrac%7B116%2C000%7D%7B1.15%5E2%7D%20%2B...%2B%20%5Cfrac%7B180%2C000%7D%7B1.15%5E%7B10%7D%7D)
The Net present value of purchasing the machine = $32,071.42
Builtrite D should purchase the machine
Hello from MrBillDoesMath!
Answer:
9
Discussion:
Solution 1:
Distance between two points (x1, y1), (x2,y2) is given by the formula
sqrt( (x1-x2)^2 + (y1-y2)^2). In our case this becomes
sqrt( (0-0)^2 + (12 -3)^2 ) =
sqrt( 9^2) =
9.
Solution 2:
Note points D and E both have x = 0 so segment DE is a vertical segment. The length is simply the difference of the y coordinates: 12- 3 = 9 as before.
Thank you,
MrB
Answer:
Hi there!
Your answer is:
59.5%
Step-by-step explanation:
To chance a demical into a percent, multiply by 100!
.595 × 100 = 59.5%
I hope this helps!
Please refer to my image where it shows my work as I’m explaining.
Okay, for system 1:
1. I am using the elimination method to solve. So I check if all the terms are lined up and if any are the same. I found that 2X are common in both equations.
2. The goal is to “eliminate” the term hence the name. So I can choose to add or subtract. I chose subtraction because 2 - 2 equals 0 which is our goal. Solve for the rest of the terms. This will lead to getting y =4. Refer to image for the work.
3. Last step to to find the X value. We do this by picking any of the given equations,then substitute y with 4 and solve to eventually get x = 10. Refer to image for the work.
FOR SYSTEM 2:
1. Again, I am using the elimination method to solve. I noticed that NONE of the terms are in common so I will have to intervene. You can chose any term to create a match with but I chose Y since it was the one I could use the smallest number to multiply with. When multiplying, DONT just multiply Y, multiply ALL the terms in the equation or else everything will crash.
2. Now that I have terms in common I can choose to add or subtract. I chose subtraction because 2-2 equals zero which is what we want. Solve look at image for my process which lead to X = -8
3. Last step is to find the value of Y. Chose any of the given equations in system 2 then substitute x with -8. Refer to image to see process. It lead to y = 20
To check the validity of the answers, substitute the x and y values into both equations both side of the equal side should have the same number. Hope that helped!
Answer:
the branch of biology that deals with the relations of organisms to one another and to their physical surroundings.
Step-by-step explanation: