Pumice is an unusual rock because some samples float on water. What does this tell you about pumice? (1) Pumice can be less dense than water. (2) Pumice is most common in high mountain locations. (3) Pumice is usually found in very small pieces. (4) Pumice absorbs water.

In the exercise below, find the global maximum and minimum of the function on $-1 \leq x \leq 1,-1 \leq y \leq 1$, and say whether it occurs on the boundary of the square. [Hint: Use graphs.]

$$z=x^2+y^2$$

What is the difference between real and nominal GDP? How do you compare GDPs over time within an economy? How do you compare GDPs across different economies?

Consider

$$g(x) = (x - 2)(x + 1 )(x - 3)(x + 4).$$

Sketch a graph of the function by plotting points and connecting them with a smooth curve.

At the beginning of december global corporation had $2,100 in supplies on hand, during the month supplies purchased amounted to$2,200 but by the end of the month the supplies balance was only $2,300. What is the appropriate month end adjusting entry?

In an experiment, a rectangular block with height h is allowed to float in four separate liquids. In the first liquid, which is water, it floats fully submerged. In liquids A, B, and C, it floats with heights h/2, 2h/3, and h/4 above the liquid surface, respectively. What is the relative densities (the densities relative to that of water) of C.

Are all prices in the economy equally inflexible? Which ones show large amounts of short-run flexibility? Which ones show a great deal of inflexibility even over months and years?

The force $F=50 \mathrm{lb}$. What is the magnitude of the acceleration of the 20-lb collar $A$ along the smooth bar at the instant shown?

Connecting f and $f^{\prime}$ Sketch a smooth curve y=f(x) through the origin with the properties that $f^{\prime}(x)<0$ for x<0 and $f^{\prime}(x)>0$ for x>0.

Which of the laws (modus ponens, hypothetical syllogism, or modus tollens) is being used in each of the following arguments?

c. If you have children, then you are an adult. Bob is not an adult, so he has no children.

In this problem, use the laws of logarithms to rewrite the given expression as one logarithm.

$$\frac{1}{2} \log _5 49-\frac{1}{3} \log _5 8+13 \log _5 1$$

Discuss why you can see your reflection in a smooth piece of aluminum foil but not in a crumpled ball of foil.

Identify each of these preceding types of businesses as using either job-order or process costing.

n. Landscape design services

Dmitri bought a $1,000 bond at par value with a coupon rate of 5 percent. He determines the yield by dividing the amount of interest he earns by the price. a. How much interest would he earn in the first year and what would be the yield? b. How much interest would he earn in the first year and what would be the yield if he had paid$950 for the bond? What would be the interest and yield if he paid $1,050?