Solve the Problem $y = \frac { 1 } { 2 } x ^ { 2 }$

question 111

Multiple Choice

Solve the problem.
-A rectangular swimming pool has a parabolic drain plate at the bottom of the pool. The drain plate is shaped like the region between $y = \frac { 1 } { 2 } x ^ { 2 }$ and the line $y = \frac { 1 } { 2 }$ from $x = - 1$ to $x = 1$ . The pool is $10 \mathrm { ft }$ by $20 \mathrm { ft }$ and $8 \mathrm { ft }$ deep. If the drain plate is designed to withstand a fluid force of $200 \mathrm { lb }$ , how high can the pool be filled without exceeding this limitation?

• A) 5 ft 1 in.
• B) 5 ft 6 in.
• C) 5 ft 9 in.
• D) 4 ft 11 in.

Determine the investment turnover and understand its implications for business performance.

Calculate and interpret profit margin for divisions or companies.

Identify the responsibilities and performance measures of investment centers.

Apply concepts of residual income in evaluating business performance.

---

Definitions:

Ounces

A unit of weight used primarily in the United States, part of the imperial and US customary systems, equivalent to 28.35 grams.

Gold

a dense, malleable, yellow precious metal that is often used in jewelry, currency, and as an investment.

Earrings

Jewelry worn on the earlobes or other parts of the ear, often decorative and made from various materials like metal, stones, or beads.

Ounces

A unit of weight in the avoirdupois (approximately 28.35 grams) or troy (approximately 31.10 grams) systems.