Lefty Consultants currently has 300,000 shares of common outstanding. Firm value net of debt is $3,450,000. The firm has warrants outstanding with an exercise price of $10. How many warrants must the firm have issued if the gain from exercising a single warrant is $1.25

60000

Explanation:

We will calculate the share price post warrant issues which will be:

= $10 + $1.25

= $11.25

Then, let the number of warrant issues is represented by x. Slotting this into the formula for the share price post warrant issued will go thus:

11.25 = (3450000 + 10×x) / (300000 + X)

3375000 + 11.25x = 3450000 + 10x

Collect like terms

11.25x - 10x = 3450000 - 3375000

1.25x = 75000

x = 75000/1.25

x = 60,000

Therefore, the number of warrant issued is 60,000

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.

income statement is prepared in order to show the profits and loss of a business. in order to prepare the income statement she should collect all the income and expenses of the product with the cost of production.