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Mrac [35]
3 years ago
14

A new furnace for your small factory will cost $29,000 and a year to install, will require ongoing maintenance expenditures of $

1,200 a year. But it is far more fuel-efficient than your old furnace and will reduce your consumption of heating oil by 2,800 gallons per year. Heating oil this year will cost $2 a gallon; the price per gallon is expected to increase by $0.50 a year for the next 3 years and then to stabilize for the foreseeable future. The furnace will last for 20 years, at which point it will need to be replaced and will have no salvage value. The discount rate is 6%.
Mathematics
1 answer:
Neporo4naja [7]3 years ago
8 0

Answer:

Net present value is $61,058.

Step-by-step explanation:

Net present value is the difference between present value of cash inflows and the present value cash outflows over the period of time. NPV method is used in capital budgeting to analyze profitability of the project.

Less: initial cost is $29,000

Add: Year 1: Cost saving due to new furnace is $5,600 (2,800 oil gallons * $ 2 per gallon)

Year 2: Cost saving due to new furnace is $7,000 (2,800 oil gallons * $ 2.50 per gallon)

Year 3- 20: Cost saving due to new furnace is $8,400 (2,800 oil gallons * $ 3 per gallon)

Less : Maintenance expenditure is $1,200

The furnace will benefit for 20 years and the price per gallon will increase by $0.50 year.

The annuity factor is applied at discount factor of 6% and then present value of each cash inflow and outflow is calculated. The net present value is $61,058.

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Please help me asap!!
zzz [600]

Answer:

Step-by-step explanation:

An isosceles triangle needs to have 2 congruent sides to be considered a isosceles triangle. To find the length of AB use Pythagorean theorem :

a^2+b^2=c^2

substitute the triangle's lengths which are given and you get:

3^2 + 3 ^2= c^2

simplify and you get

c= √18

Repeat for AC and you get the same thing: √18.

AB=AC=√18. The triangle is an isosceles triangle because you have 2 congruent sides.

4 0
3 years ago
The reading of a scale at one end is 3.5 cm and at the other end is 18.5 cm. Calculate the lengths of the needle
Bumek [7]

Answer:

15 cm

Step-by-step explanation:

Given that :

Reading at one end, initial reading = 3.5 cm

Reading at the other end, final reading = 18.5 cm

Length of needle :

Final Reading - Initial reading

18.5cm - 3.5cm

= 15cm

6 0
3 years ago
An alloy consists of nickel, zinc, and copper in the ratio 2:7:9.
almond37 [142]
Zinc = 7/18
Divide 4.9 by 7 = 0.7
Multiply by 18 = 12.6

The answer is 12.6 lbs of alloy. Sorry if I'm wrong
6 0
3 years ago
How many solutions exist for the given equation?
zmey [24]
<h3> Answer </h3>

x = 2

<h3>Step by step</h3>

1/2(x + 12) = 4x - 1

1/2x + 12/2 = 4x - 1

1/2x + 6 = 4x - 1

1/2x - 4x = -1 - 6

1/2x - 8/2x = -7

-7/2x = -7

x = -14/-7

x = 2

8 0
3 years ago
4/5w-12=2/3w<br> what is the step by step answer to those equation?
Mariulka [41]
Kulay, there is no such thing as a "step by step answer" here.  You seem to want a "step by step solution."

I must assume that by 4/5 you actually meant (4/5) and that by 2/3 you meant (2/3).  Then your equation becomes:

(4/5)w - 12 = (2/3)w. 

The LCD here is 5*3, or 15, so mult. every term by 15:

12w - 180 = 10w.   
Add 180 to both sides, obtaining 12 w - 180 + 180 = 10w + 180.     

Then 12w = 10w + 180.  Simplifying, 2w = 180.    What is w?
4 0
3 years ago
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