A project has an initial cost of $40,000, expected net cash inflows of $9,000 per year for 9 years, and a cost of capital of 11%. What is the project's discounted payback period? Round your answer to two decimal places.

It will take 7 years and 156 days to pay back.

Explanation:

Giving the following information:

A project has an initial cost of $40,000, expected net cash inflows of $9,000 per year for 9 years, and a cost of capital of 11%.

To calculate the discounted payback period, we need to discount each cash flow until the initial investment is cover.

PV= Cf/ (1+i)^n

Discounted cash flow    Pay back

Year 1= 9,000/(1.11)= 8,108.11                        31,819.89

Year 2= 9,000/(1.11^2)= 7,304.60                  24,515.29

Year 3= 9,000/(1.11^3)= 6,580.72                  17,934.57

Year 4= 9,000/(1.11^4)= 5,928.58                  12,005.99

Year 5= 9,000/(1.11^5)= 5,341.06                  6,664.93

Year 6= 9,000/(1.11^6)= 4,811.77                   1,853.16

Year 7= 9,000/(1.11^7)= 4,334.93                  0

To be more accurate:

(1,853.16/4334.93)*365= 156 days

It will take 7 years and 156 days to pay back.

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.

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