math.29

# Q28 a certain company expects quarterly earnings of

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Q28: A certain company expects quarterly earnings of \$0.80 per share of stock, half of which will be distributed as dividends to shareholders while the rest will be used for research and development. If earnings are greater than expected, shareholders will receive an additional \$0.04 per share for each additional \$0.10 of per share earnings. If quarterly earnings are \$1.10 per share, what will be the dividend paid to a person who owns 200 shares of the company’s stock? 9

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A. \$92 B. \$96 C. \$104 D. \$120 E. \$240 Answer: ------------------------------------------------------------------------------------------------------------ Q29: For which real numbers x is the expression ) 1 )( 2 ( 2 + - x x not defined? ------------------------------------------------------------------------------------------------------------ Q30: What is the value of (2 x – 5) 3 ? (1) (2 x ) 3 = 216 (2) (2 x + 3) 2 = 81 ------------------------------------------------------------------------------------------------------------ Q31: Phobus, one of the satellites of Mars, revolves about Mars at a distance of approximately 5,800 miles from the center of Mars and approximately 3,700 miles from the surface of Mars. If it is assumed that Mars is spherical and the orbit of Phobus is circular, what is the approximate circumference, in miles, of Mars at its equator? ------------------------------------------------------------------------------------------------------------ Q32: 10
In the decimal representation of x , where 0 < x < 1, is the tenths digit of x nonzero? (1) 16 x is an integer. (2) 8 x is an integer. A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: ------------------------------------------------------------------------------------------------------------ Q33: A small business invests \$9,900 in equipment to produce a product. Each unit of the product costs \$0.65 to produce and is sold for \$1.20. How many units of the product must be sold before the revenue received equals the total expense of production, including the initial investment in equipment? ------------------------------------------------------------------------------------------------------------ Q34: A merchant discounted the sale price of a coat and the sale price of a sweater. Which of the two articles of clothing was discounted by the greater dollar amount? (1)The percent discount on the coat was 2 percentage points greater than the percent discount on the sweater. (2)Before the discounts, the sale price of the coat was \$10 less than the sale price of the sweater. ------------------------------------------------------------------------------------------------------------

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