Business, 06.05.2020 06:14 jsmn9083

G Gustavo is considering an investment proposal that requires an initial investment of $91,100, has predicted cash inflows of $30,000 per year for four years, and no residual value. At a discount rate of 10 percent, the project’s net present value is: (use the tables provided in these notes; round all calculations to the nearest dollar)

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Answer from: kkiop1891

The NPV is $3996

Explanation:

Net Present Value (NPV) is a tool in capital budgeting to analyze the prject proposals. It is the value of the project adds in today's terms based on the difference between the present value of cash inflows from the project less the present value of cash outflows and initial investment.

Thus, NPV is:

NPV = CF1 / (1+d) + CF2 / (1+d)^2 + ... + CFn / (1+d)^n - Initial Cost

Where d is the discount rate.

As the cash inflows from the project are constant and are after equal intervals of time and for a defined time period, they can be treated as an annuity. Thus, NPV in this case will be,

NPV = Present value of annuity - Initial investment

NPV = 30000 * [ (1 - (1+0.1)^-4) / 0.1 ] - 91100

NPV = $3995.96 rounded off to $3996

The formula for present value of ordinary annuity is attached

G Gustavo is considering an investment proposal that requires an initial investment of $91,100, has

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

a recipe serves 8 people, and calls for 5 lbs of apples and 2 cups of flour. you want to prepare it for 24 people. divide 24 by 8 to get 3, and then multiply your ingredients by 3.

so for 24 people, you'll need 15 lbs of apples, and 6 cups of flour.

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