Solve.A musician plans to perform 5 selections for a concert. If he can choose from 7 different selections, how many ways can he arrange his program?

A. 21
B. 16,807
C. 2520
D. 35


Answer: C

Mathematics

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Write the set in set-builder notation.{12, 15, 18, 21, ..., 42}

A. {x | x is a multiple of 3 greater than 12} B. {x | x is a multiple of 3 between 9 and 45} C. {x | x is a multiple of 3} D. {x | x is a multiple of 3 between 12 and 42}

Mathematics

Solve the problem.For what value of r does the infinite series 1 + 2r + 5r2 + 2r3 + r4 + 2r5 + 5r6 + 2r7 + r8 + ... converge?

A. |r| < 
B. |r| < 
C. |r| < 
D. |r| < 1

Mathematics

Write using exponential notation.4 ? 4

A. 43 B. 24 C. 2 ? 4 D. 42

Mathematics

A division of Ditton Industries manufactures a deluxe toaster oven. Management has determined that the daily marginal cost function associated with producing these toaster ovens is given by

? ? where  is measured in dollars/unit and  denotes the number of units produced. Management has also determined that the daily fixed cost incurred in the production is $800. Find the total cost incurred by Ditton in producing the first 500 units of these toaster ovens per day. What is the total cost incurred by Ditton in producing the 401st through 500th units/day? ? A. $8,300; $2,700 B. $8,100; $2,700 C. $8,300; $2,800 D. $8,100; $2,800

Mathematics