Business, 28.12.2019 01:31 volocibel

What is the net present value of a project that has an initial cash outflow of $7,670 and cash inflows of $1,280 in year 1, $6,980 in year 3, and $2,750 in year 4? the discount rate is 12.5 percent.

a) $249.65
b) $68.20
c) $86.87
d) $270.16
e) $371.02

Answers: 2

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Answer from: skykopystecky8769

c) $86.87

Explanation:

The computation of the Net present value is shown below

= Present value of all yearly cash inflows after implementation of discount factor - initial investment

The discount factor should be determined by

= 1 ÷ (1 + rate) ^ years

where,

rate is 12.5%

Year = 0,1,2,3,4

Discount Factor:

For Year 1 = 1 ÷ 1.125^1 = 0.8889

For Year 2 = 1 ÷ 1.125^2 = 0.7901

For Year 3 = 1 ÷ 1.125^3 = 0.7023

For Year 4 = 1 ÷ 1.125^4 = 0.6243

So, the calculation of a Present value of all yearly cash inflows are shown below

= Year 1 cash inflow × Present Factor of Year 1 + Year 2 cash inflow × Present Factor of Year 2 + Year 3 cash inflow × Present Factor of Year 3 + Year 4 cash inflow × Present Factor of Year 4

= $1,280 × 0.8889 + $0 × 0.7901 + $6,980 × 0.7023 + $2,750 × 0.6243

= $1,137.778 + $0 + $4,902.277 + $1,716.811

= $7,756.87

Therefore, the Net present value equivalent to

= $7,756.87 - $7,670

= $86.87

We take the discount factor's first four digits.

Answer from: Quest

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

Answer from: Quest

My first question is what benefits do you expect to achieve from career exploration? the benefits that i expect to achieve from career exploration. for me i think the benefits of exploring many different careers are that you get exposed to more, so it's easier for you to pick which one you like best. another benefit is that you get a more first hand view of what jobs are more likely to be needed in the future and that can be factored into your consideration. my second question is what do you expect to be the most challenging parts of your career planning process? why? the most challenging parts of my career planning process is trying to get things in order and trying to write this paragraph it is confusing and, hard work. and last but not least my third question is i think the most challenging part is taking the first step and really deciding on a career you want to pursue; there are so many options and it can be hard to choose.which jobs will allow me to make a living? ; what skills does emergency medical technician emergency medical services medical » physiology require?

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