michael's Inc. just paid $2.75 to its shareholders as the annual dividend. Simultaneously, the company announced that future dividends will be increasing by 5.9 percent. If you require a rate of return of 10.1 percent, how much are you willing to pay today to purchase one share of the company's stock?

$69.33

Explanation:

Calculation for how much are you willing to pay today to purchase one share of the company's stock

Using this formula

P(0)=[Annual dividend *(Increase in future dividend)]/ (Rate of return- Increase in future dividend)

Let plug in the formula

P(0)=[$2.75*(1+0.059)]/(0.101-0.059)

P(0)=$2.75*1.059/0.042

P(0)=$2.91225/0.042

P(0)=$69.33

Therefore the amount you are willing to pay today to purchase one share of the company's stock will be $69.33

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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