Solve the problem.In a sports league of n teams in which each team plays every other team twice, the total number N of games to be played is given by N = n2 - n. What is the total number of games to be played in a football league having 25 teams?

A. 50 games
B. 600 games
C. 650 games
D. 625 games


Answer: B

Mathematics

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Part of $6,000 is invested at 9%, another part at 11%, and the remainder at 12% yearly interest. The total yearly income from the three investments is $650. The sum of the amounts invested at 9% and 11% equals the amount invested at 12%. How much is invested at each rate? 

A. $2,000 at 9%, $1,000 at 11%, and $3,000 at 12% B. $1,500 at 9%, $0 at 11%, and $3,500 at 12% C. $3,000 at 9%, $0 at 11%, and $3,000 at 12% D. $1,500 at 9%, $1,000 at 11%, and $3,500 at 12% E. $2,500 at 9%, $2,000 at 11%, and $2,000 at 12%

Mathematics

Solve the problem.List the first 10 counting numbers in base 2.

A. 0, 1, 2, 10, 11, 100, 101, 110, 111, 1000 B. 1, 10, 11, 100, 110, 1000, 1001, 1010, 1100, 10000 C. 1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010 D. 0, 1, 10, 11, 100, 101, 110, 111, 1000, 1001

Mathematics

Indicate whether the function is one-to-one.{(8, 5), (7, 5), (13, 8)}

A. Yes B. No

Mathematics

Establish the identity.tan 2 u (1 + cos(2u)) = 1 - cos(2u)

What will be an ideal response?

Mathematics