There are 8 soccer teams for the 110 players in the league. the league wants the same number of players on each team. which explains whether or not it is possible?

a. it is possible to split the players into 8 teams because each team would have 13 players.
b. it is possible to split the players into 8 teams because each team would have 14 players.
c. it is not possible to split the players into 8 teams with the same number of players. it would be possible if there were a total of 100 players.
d. it is not possible to split the players into 8 teams with the same number of players. it would be possible if there were a total of 120 players.

Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Total number of players in the league = 110

Number of soccer teams = 8

The league wants the same number of players on each team.

To get it possible we need to check first if 110 is divisible by 8.

So, we get that

It is not completely divisible by 8.

Therefore.It is not possible to split the players into 8 teams with the same number of players. It would be possible if there were a total of 120 players.

Hence, Option 'D' is correct.

i believe the correct answer is b.

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.