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;
A profit and loss statement<span> will determine how well a business has done over the past year.The profit and loss statement is a financial statement which shows revenue, costs and all expenses that happened during a said period of time. Most companies do this quarterly or yearly. </span>
Set goals, develop team structure, create a unified commitment.
Answer:
the amount of money that must be invested now is $21068.87
Explanation:
Given that:
Nominal interest = 10%
Annuity = 7000
n = 8 years
The Effective interest rate is calculated by using the formula:
Effective interest rate = 
Effective interest rate = 
Effective interest rate = 0.1045
Effective interest rate = 10.45 %
Thus ; the the amount of money that must be invested now is the present value with the annuity of $7, 000 per year for 12 years, starting eight years from now.
PV = 7000 × 6.666056912 × 0.4515171371
PV = $21068.87
Thus; the amount of money that must be invested now is $21068.87
Answer:
Explanation:
Calculation of total loss:
Net loss 320,000
Preferred dividend [5000*8%*100] 40,000
Total loss 360,000
Calculation of shares:
Common shares 250,000
Additional common stock [36,000*7/12] 21,000
Total shares 271,000
Loss per share = 360,000/271,000 = $1.328
