Carter's preferred stock pays a dividend of $1.00 per quarter. If the price of the stock is $45.00, what is its nominal (not effective) annual rate of return?

8.89%

Explanation:

The answer is 8.89%

Here is how we arrived at this.

Dividend = 1$ times 4

= $4 annually

Then we calculate for the nominal rate of return.

This is equal to dividend / price.

= $4/ $45

= 0.0889

To convert this to percentage

0.089 x 100

= 8.89% is the nominal annual rate of return.

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; organization;