Question
1. Which of the following is NOT a primary function of marketing in a business? A. Sales promotion B. Financial management C. Market research D.
1. Which of the following is NOT a primary function of marketing in a business? A. Sales promotion B. Financial management C. Market research D. Product development
2. In the context of organizational structure, what type of company typically has a hierarchical structure with clear lines of authority? A. Startup B. Flat organization C. Matrix organization D. Traditional corporation
3. When a company issues shares of stock to the public for the first time, it is known as: A. Liquidation B. Acquisition C. Initial Public Offering (IPO) D. Merger
1. Company A had a beginning cash balance of $10,000. During the month, they received $15,000 in revenue and incurred $8,000 in expenses. What is their ending cash balance for the month?
2. If a business takes out a loan of $50,000 at an annual interest rate of 8%, how much interest will they pay in one year?
3. Company B's gross profit for the year was $200,000, and their total operating expenses were $80,000. Calculate their net profit for the year.
4. A product costs $20 to produce, and the company sells it for $40 each. If they sell 1,000 units, what is their total profit?
5. Calculate the price-earnings (P/E) ratio for a company with a stock price of $50 per share and earnings per share (EPS) of $5.
Consider the differential equation given by: dxdy=ysin(x)x2cos(y) 1. Find the particular solution to this differential equation given that y(4)=2. 2. Determine the intervals of increase and decrease for the solution curve. 3. Evaluate the limit of the solution as x approaches infinity. Instructions: - For the first part, you'll need to solve the differential equation with the given initial condition. This may require numerical methods as the equation doesn't seem to be easily solvable analytically. - In the second part, analyze the derivative dxdy to find where the solution is increasing or decreasing. - Lastly, investigate the behavior of the solution as x tends towards infinity, which will involve exploring the asymptotic behavior of the solution
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