Miami Book Publishers (MBP) just reported earnings of $20 million, and it plans to retain 35 percent of its earnings. If MBP’s historical return on equity (ROE) was 15 percent, what is the expected growth rate for MBP’s earnings?

5.25%

Explanation:

The computation of the expected growth rate for MBP’s earnings is shown below:

Expected growth rate = Historical return on equity (ROE) × retention ratio

= 15% × 35%

= 5.25%

We simply multiplied the return on equity with the retention ratio so that the expected growth rate could come

The earnings that are mentioned in the question is not relevant. Hence, ignored it

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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