What is the irr for a project that costs $100,000 and provides annual cash inflows of $30,000 for 6 years starting one year from today?

a) 19.91%
b) 16.67%
c) 15.84%
d) 22.09%

A) 19.91%

Explanation:

Net present value of cash flow at 19.91% can be calculated as follows

- 100000 + 30000/1.1991 + 30000/ (1.1991)² + 30000/(1.1991)³ + 30000/ (1.1991)⁴ +30000/(1.1991)⁵ + 30000/ (1.1991)⁶

= -100000 + 25018 +20864 +17400 +14511 +12101 +10092

= 0 ( approx )

So  the IRR for the  project is 19.91 % .

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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