Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variables represent positive real numbers. logn 7z2 +  logn 49z2

A. logn 739/20 z63/40 
B. logn 343z9/10
C. logn 7104/63 z118/63
D. logn 343z39/40


Answer: C

Mathematics

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Find the Social Security tax and Medicare tax on the annual gross income of a self-employed individual. For a self-employed person, the FICA rate is 12.4% and the Medicare rate is 2.9%. Round to the nearest cent if needed.Drew Laughlin, attorney, earned $53,081.59

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Mathematics

Find the distance between the two points (10, 7) and (-5, 7). ?

A. 30 B. 20 C. 12 D. 40 E. 15

Mathematics

Patio Iron makes wrought iron outdoor dining tables, chairs, and stools. Each table uses 8 ft of a standard-width wrought iron, 2 hours of labor for cutting and assembly, and 2 hours of labor for detail and finishing work. Each chair uses 6 ft of the wrought iron, 2 hours of cutting and assembly labor, and 1.5 hours of detail and finishing labor. Each stool uses 1 ft of the wrought iron, 1.5 hours for cutting and assembly, and 0.5 hour for detail and finishing work, and the daily demand for stools is at most 16. Each day Patio Iron has available at most 108 ft of wrought iron, 50 hours for cutting and assembly, and 40 hours for detail and finishing. If the profits are $60 for each dining table, $49 for each chair, and $39 for each stool, how many of each item should be made each day to

maximize profit? Find the maximum profit. Round your profit to the nearest dollar and another answers - to the nearest whole number. ? A. 7 tables, 6 chairs, and 16 stools per day for a maximum daily profit of $1,338 B. 6 tables, 5 chairs, and 18 stools per day for a maximum daily profit of $1,307 C. 5 tables, 4 chairs, and 18 stools per day for a maximum daily profit of $1,198 D. 8 tables, 5 chairs, and 16 stools per day for a maximum daily profit of $1,349 E. 8 tables, 6 chairs, and 15 stools per day for a maximum daily profit of $1,359

Mathematics