Answer:
Suppose the cost per hour incurred in operating a cruise ship is 3a + b 
dollars per hour, where a and b are positive constants and v is the ship's speed in miles per hour. At what speed (in miles per hour) should the ship be operated between two ports, at a distance D miles apart, to minimize the cost? (Hint: Minimize the cost, not the cost per hour.)
<em>The speed at which the ship would maximize cost is </em>![\sqrt[3]{\frac{3a}{2b} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B3a%7D%7B2b%7D%20%7D)
Explanation:
The problem can be solved using differentiation to get the minimum value of the speed to travel between the two ports. Step by step calculation is contained in the attached images;
Answer:
225,000 shares
Explanation:
A company's shares outstanding refers to the total number of shares investors currently own.
Beck Corp. issued 200,000 shares of common stock when it began operations in year 1 and issued an additional 100,000 shares in year 2.
In year 3, Beck purchased 75,000 shares of its common stock and held it in Treasury.
At December 31, year 3, the number of shares of Beck's common stock were outstanding is
200,000 shares in year 1
100,000 shares in year 2
Total Common Stock = 300,000
less: Treasury Stock of 75,000
Outstanding Stock = 225,000 shares
Answer: Mutual mistake
Explanation:
A mutual mistake in a contract is a situation that arises when the parties in a contract make the same mistake in reference to a significant fact in the contract. i.e., they are mutually ignorant of a fact of the contract.
Had they both known about that mistake, they might not have gone into the contract so the contract is voidable in this scenario.
Both Walker and Sheerwood were mutually mistaken about the fact that Rose was pregnant when they went into the contract so this contract is voidable by this theory.
