The power at Ice Station Lion is supplied via solar cells. Once a year, a plane flies in and sells solar cells to the ice station at a price of $20 per cell. Because of uncertainty about future power needs, the ice station can only guess the number of cells that will be required during the coming year (see probability distribution in Table 6). If the ice station runs out of solar cells, a special order must be placed at a cost of$30 per cell. a. Assuming that the news vendor problem is relevant, how many cells should be ordered from the plane? b. In part (a), what type of cost is being ignored? TABLE 6:

$$\begin{matrix} \text{No. of Cells} & \text{Probability}\\ \text{50} & \text{.20}\\ \text{60} & \text{.15}\\\text{70} & \text{.30}\\ \text{80} & \text{.10}\\ \text{90} & \text{.15}\\\text{100} & \text{.10}\\ \end{matrix}$$

Match the property of A with the corresponding property of the graph of f. Assume f is differentiable. Area function A: (a) A is decreasing. (b) A has a local maximum. (c) A is concave up. (d) A goes from concave up to concave down. Graph of f: (i) Lies below the x-axis. (ii) Crosses the x-axis from positive to negative. (iii) Has a local maximum. (iv) f is increasing.

Approximate to three decimal places

$$\cos 0.68$$

Write as a decimal.

$$1\dfrac{5}{8}$$

Wendy and Peter each made up a new "Guess My Decimal" game just for you. Use their clues to determine the number. a. Wendy gives you this clue: "My decimal is seven-tenths greater than 46%. What is my decimal?" Show your work. b. Peter continues the game with the following clue: "My decimal is sixhundredths less than five-tenths." Use pictures and/or words to show your thinking.

What is $36 \frac{1}{2} \%$ as a decimal?

Find $\lim _{x \rightarrow 1} \dfrac{x^2+2 x-3}{x^2-1}$, if it exists.

Find $\lim _{x \rightarrow-1} \dfrac{x^2-x-2}{x^2+4 x+3}$, if it exists.

Es el Año Nuevo y Ud. está trabajando en una emisora de televisión. Ud. está describiendo cómo las personas están pasando la noche en un restaurante popular. Complete las frases siguientes usando el gerundio de uno de los verbos dados (cada verbo debe usarse solamente uno vez).

comenzar                      divertirse     caer                                  tirar     tocar                                comer     celebrar                          cantar     besar                                bailar

Muchas personas siguen _______________________ serpentinas.

How do you find an object's mechanical energy?

How does demand help societies determine WHAT, HOW, and FOR WHOM to produce?

Demand for a product means more than simply the desire to own it. Instead, demand includes desire and also the willingness and ability to buy the product. Firms often try to influence demand in a number of different ways. To see how, analyze a television, print, or online ad for a product. What devices has the seller used in the ad to stimulate demand for it? Pay attention to ways the seller may have made the product easier to buy.

A person pulls a toboggan for a distance of 35.0 m along the snow with a rope directed

$$25.0 ^ { \circ }$$

above the snow. The tension in the rope is 94.0 N. (a) How much work is done on the toboggan by the tension force? (b) How much work is done if the same tension is directed parallel to the snow?

Lamprino Appliance uses a perpetual inventory system. The following are three recent merchandising transactions:
June 10 Purchased 10 televisions from Mitsu Industries on account. Invoice price, $\$ 300$ per unit, for a total of $\$ 3,000$. The terms of purchase were $2 / 10, \mathrm{n} / 30$.
June 15 Sold one of these televisions for $\$ 450$ cash.
June 20 Paid the account payable to Mitsu Industries within the discount period.

Instructions
a. Prepare journal entries to record these transactions assuming that Lamprino records purchases of merchandise at:

1. Net cost
2. Gross invoice price

Evaluate each sum that exists.

$$\sum_{i=1}^7(-1)^{i-1}$$