Corporation needs to raise $70 million to finance its expansion into new markets. the company will sell new shares of equity via a general cash offering to raise the needed funds. the offer price is $30 per share and the company’s underwriters charge a spread of 8 percent. if the sec filing fee and associated administrative expenses of the offering are $575,000, how many shares need to be sold?

(do not round intermediate calculations and enter your answer in shares, not millions of shares, rounded to the nearest whole number, e. g., 1,234,567.)

$2536.232

Explanation:

The spread in this case is 30*8% = 2.4  

A spread is simply gap between the bid and the ask prices of a security or asset, like a stock, bond or commodity and the net proceeds are the amount of money the seller receives following the sale of an asset after all costs and expenses are deducted from the gross proceeds.

The net proceeds in this case is 30-2.4 =27.6

To get the number of share we can simply divide the funds need by the net proceeds per share = 70000000/27.6  = $2536.232. Therefore the correct answer is $2536.232

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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