Caterpillar Inc. (CAT) pays an annual dividend of $4.45. The company is expected to continue paying this dividend with no future growth in dividends. Investors require 11% rate of return on this investment. What is the current stock value of CAT

$40.45

Explanation:

The current stock value of CAT is computed as below

Current stock value = Annual dividend / Rate of return

Current stock value = $4.45 / 11%

Current stock value = $4.45 / 0.11

Current stock value = $40.454546

Current stock value = $40.45

So, the current stock value of CAT is $40.45.

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.