Reference no: EM131020641
Determine the correct half-plane in each case, and complete the graph.
1. y > 3
Graph each of the following inequalities.
2. 4x + y ≥ 4
3. 3x - 4y < 12
4. Number problems. You have at least $30 in change in your drawer, consisting of dimes and quarters. Write an inequality that shows the different number of coins in your drawer.
Evaluate each function for the value specified.
5. f (x) = x2 -7x + 10; find (a) f (0), (b) f (5), and (c) f (-2).
Rewrite each equation as a function of x.
6. -3x + 4y = 11
Graph the functions.
7. f (x)= -2x - 5
If f (x) = 4x - 3, find the following:
8. f (-1)
If f (x) = 5x - 1, find the following:
9. f (a - 2)
10. Business and finance. If the inventor in exercise 53 charges $4 per unit, then her profit for producing and selling x units is given by the function
P(x) = 2.25x - 7000
(a) What is her profit if she sells 2000 units?
(b) What is her profit if she sells 5000 units?
(c) What is the break-even point for sales?
Trade-off between retaining internally generated funds
: The CFO of your company (BD-Becton Dickinson and Company) states that the composite cost of capital is saucer-shaped or U-shaped. Explain what this means. Explain the trade-off between retaining internally generated funds and paying the cash dividend..
|
Does rule of equal marginal utility per dollar spent hold
: Consider two goods: pizza and Coke. Along an individual's demand curve for pizza, as the price of pizza falls, does the marginal utility per dollar spent on pizza always equal the marginal utility per dollar spent on Coke? In other words, does th..
|
Significant advantage of a residual dividend policy
: A significant advantage of a RESIDUAL DIVIDEND POLICY is the priority put on funding positive NPV projects; this advantage, however, might come at the expense of the CLIENTELE effect, at least in the short run.
|
Retaining internally generated funds-paying cash dividends
: Explain the trade-off between retaining internally generated funds and paying the cash dividends. Which of these does your company (BD-Becton Dickinson and Company) do? From what financial statement did you get this information? Explain the dividend ..
|
What is the break-even point for sales
: What is her profit if she sells 2000 units? What is her profit if she sells 5000 units? What is the break-even point for sales?
|
Composite cost of capital is saucer-shaped or u-shaped
: The CFO of your company (BD-Becton Dickinson and Company) states that the composite cost of capital is saucer-shaped or U-shaped. Explain what this means.
|
How should the court rule
: The Franklins sued, claiming that the FLB attorney had authority to settle the case and that FLB was bound by the settlement agreement. How should the court rule? Discuss fully.
|
The cost of common equity for the firm
: CurrntCompute the cost of capital for the firm for the following. currently bonds with a similar credit rating and maturity as the firm's outstanding deb are selling to yield 7.44 percent while the borrowing firm's corporate tax rate s 34 percent. Th..
|
Would you decide to work more hours or fewer hours
: Suppose the wage you are being paid per hour doubles from $15 to $30. Would you decide to work more hours or fewer hours? Is there an income and substitution effect involved in your decision about how many hours you choose to work? If so, what is ..
|