The table below shows the scores for two teams playing a series of four card games.
a. find the totals for each team after two games
b. if the winner is the team with the greatest score which team is winning after two games.
c. would the results be any different after all four games?

A. team 1: -2 points; team 2: -1 points;

B. team 2

C. no, it wouldn't

Step-by-step explanation:

A. After two games, team 1 made -3 +1 = -2 points, and team 2 made 4 -5 = -1 points.

B. -1 is greater than -2, then team 2 won.

C. After four games, team 1 made -3 +1 -4 +4 = -2 points, and team 2 made 4 -5 +9 -9 = -1 points. The results are the same as before.

(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.