Would you expect to find a higher standard of living in the Baltic states or in the border nations? Explain.

It is December 31, end of the year, and the controller of Cornell Corporation is applying the lower-of-cost-or-market (LCM) rule to inventories. Before any year-end adjustments, Cornell reports the following data:

$$\begin{matrix} \text{Cost of goods sold........................................... } & \text{\$420,000}\\ \text{Historical cost of ending inventory, as determined by a physical count...............} & \text{65,000}\\ \end{matrix}$$

Cornell determines that the replacement cost of ending inventory is $49,000. Show what Cornell should report for ending inventory and for cost of goods sold. Identify the financial statement where each item appears.

Prove that if $A \in M_{2 \times 2}(F)$ is upper triangular, then det(A) equals the product of the diagonal entries of $A .$

The heights, in cm, of 180 students are given in the cumulative frequency table. a. Draw a cumulative frequency diagram to represent this information. b. Write down (i) the median (ii) the lower quartile and the upper quartile. c. The smallest student is 146 cm and the tallest is 183 cm. Represent this information on a box and whisker graph.

$$\begin{matrix} \text{Height (x cm)} & \text{Cumulative frequency}\\ {x \leq 145} & \text{0}\\ {x \leq 150} & \text{26}\\ {x \leq 155} & \text{81}\\ {x \leq 160} & \text{119}\\ {x \leq 165} & \text{142}\\ {x \leq 170} & \text{154}\\ {x \leq 175} & \text{167}\\ {x \leq 180} & \text{174}\\ {x \leq 185} & \text{180}\\ \end{matrix}$$

Explain how to tell whether an event is as likely as not.

If $\vec{F}_{1}=\langle 300,0,-200\rangle$ and $\vec{F}_{2}=\langle 150,-300,0\rangle,$ calculate the following quantities and make the requested comparisons: Is $\left|\vec{F}_{1}-\vec{F}_{2}\right|=\left|\vec{F}_{1}\right|-\left|\vec{F}_{2}\right| ?$

Under what two conditions will a charge in a constant magnetic field experience no magnetic force?

Draw a ball-and-stick model of a boron trifluoride, BF$_{3}$, molecule. In this molecule, a boron atom is attached to three fluorine atoms. Each F-B-F bond angle is 120$^{\circ}$, and all B-F bond s are the same length.

(a) Find a basis for the kernel of the linear transformation $D : C^{2}(-\infty, \infty) \rightarrow C(-\infty, \infty)$ given by $D(y)=y^{\prime \prime}(x)$. (b) Find a general solution of the differential equation $y^{\prime \prime}=0$.

How do you think Australia and New Zealand can solve their economic problems? Think about: their need for new markets, Asia's large population and its relative closeness, the Asian nations that have thriving industries.

Determine the current flowing in an RL circuit if the applied EMF is

$$E ( t ) = E _ { 0 } \sin \omega t , \text { where } E _ { 0 } \text { and } \omega$$

are constants. Identify the transient part of the solution and the steady-state solution.

You and a friend are looking at the stars, and you notice two stars close together, one bright and one fairly dim. Your friend comments that the bright star must emit much more light than the dimmer star. Is he necessarily right? Explain your answer.

Determine whether v and w are parallel, orthogonal, or neither. $\mathbf{v}=3 \mathbf{i}-2 \mathbf{j}; \mathbf{w}=4 \mathbf{i}+6 \mathbf{j}$

Who were the South Slavs?