Identify ways you can avoid having a food intolerance.

Find the percent, to the nearest percent.

$$\$ 1,280 \div \$ 15,340$$

How can you tell that a food has freezer burn?

At what angle is the fourth-order maximum for the situation in the preceding problem?

The assets of Fonzarelli Corporation are presented below (000s omitted).

$$\begin{array}{c} \textbf{FONZARELLI CORPORATION}\\ \textbf{BALANCE SHEET (PARTIAL)}\\ \textbf{DECEMBER 31, 2017} \end{array}$$

$$\begin{array}{lrr} \hspace{150pt}{\text{\underline{Assets}}}\\ {\text{Current assets}}\\ \hspace{10pt}\text{Cash}&&\$\text{\hspace{10pt}{100,000}}\\ \hspace{10pt}\text{Unclaimed payroll checks}&&\text{27,500}\\ \hspace{10pt}\text{Debt investments (trading) (fair value \$30,000) at cost}&&\text{37,000}\\ \hspace{10pt}\text{Accounts receivable (less bad debt reserve)}&&\text{75,000}\\ \hspace{10pt}\text{Inventory—at lower-of-cost (determined by the next-in,}\\ \hspace{20pt}\text{first-out method)-or-net realizable value}&&\underline{\text{\hspace{15pt}240,000}}\\ \hspace{30pt}\text{Total current assets}&&\underline{\text{\hspace{15pt}479,500}}\\ {\text{Tangible assets}}\\ \hspace{10pt}\text{Land (less accumulated depreciation)}&&\text{\hspace{5pt}{80,000}}\\ \hspace{10pt}\text{Buildings and equipment}&\text{\$\hspace{5pt}800,000}\\ \hspace{20pt}\text{Less: Accumulated depreciation}&\underline{\text{\hspace{10pt}250,000}}&\underline{\text{\hspace{15pt}550,000}}\\ \hspace{30pt}{\text{Net tangible assets}}&&\underline{\text{\hspace{15pt}630,000}}\\ {\text{Long-term investments}}\\ \hspace{10pt}\text{Stocks and bonds}&&\text{\hspace{10pt}{100,000}}\\ \hspace{10pt}\text{Treasury stock}&&\underline{\text{\hspace{20pt}70,000}}\\ \hspace{30pt}{\text{Total long-term investments}}&&\underline{\text{\hspace{15pt}170,000}}\\ {\text{Other assets}}\\ \hspace{10pt}\text{Discount on bonds payable}&&\text{\hspace{10pt}{19,400}}\\ \hspace{10pt}\text{Sinking fund}&&\underline{\text{\hspace{15pt}975,000}}\\ \hspace{30pt}{\text{Total other assets}}&&\underline{\text{\hspace{15pt}994,400}}\\ \hspace{30pt}{\text{Total assets}}&&\underline{\underline{\text{\$\hspace{2pt}2,273,900}}}\\ \end{array}$$

Indicate the deficiencies, if any, in the foregoing presentation of Fonzarelli Corporation’s assets.

Represent the set using a graph, interval notation, and set-builder notation. The set of real numbers less than 14.

Identify the conic represented by each equation without completing the square or using a rotation of axes.

$$5 x ^ { 2 } + 2 \sqrt { 3 } x y + 3 y ^ { 2 } - 18 = 0$$

The radius and height of a right-circular conical tank are measured to be 25 ft and 21 ft, respectively. Each measurement is accurate to within 0.5 in. By about how much can the calculated volume of the tank be in error?

Perform each of the following conversions, being sure to set up clearly the appropriate conversion factor in each case.

h.$~~903.3 \mathrm{~nm}$ to micrometers

The following are ways to avoid having a collision EXCEPT:

• a. anticipate possible situations before they occur
• b. riding too close to a boat in order to jump its wake
• c. realizing that personal watercraft take time to stop
• d. knowing that you need throttle to steer a PWC

(a) Use the discriminant to determine whether the graph of the equation is a parabola, an ellipse, or a hyperbola. (b) Use a rotation of axes to eliminate the xy-term. (c) Sketch the graph.

$$x y+4=0$$

Which ratios should be used to help answer the following questions? (a) How efficient is a company in using its assets to produce sales?

A capacitor has a capacitive reactance of $50\ \Omega$ when connected to a $60\ \text{Hz}$ line what will be the capacitive reactance if the capacitor is connected to a $1000 \ \text{Hz}$ line.

A dietitian wishes to plan a meal around four foods. The meal is to include 600 mg of phosphorus and 400 mg of magnesium. The number of units of the nutrients in each ounce of the foods (in milligrams) is summarized in the following table:

a. Let $x_1, x_2, x_3$, and $x_4$ denote the amount of Food $A$, Food $B$, Food $C$, and Food $D$, respectively, in a meal. Write a system of linear equations in the four given variables to describe the requirements of the dietitian.

b. Use the Gauss-Jordan elimination method to solve the system of part (a) for $x_1$ and $x_2$ in terms of $x_3$ and $x_4$.

c. Use the fact that $x_1$ and $x_2$ must be nonnegative to write a system of two linear inequalities in the two variables $x_3$ and $x_4$, and then determine graphically the solution set for the system.

d. Combine the results of the previous parts to write the solutions to the problem.

e. Suggest three possible meals that meet the nutritional requirements. Include at least one in which all four foods are used. (Note: Your answer is not unique.)