1. The following equations when graphed will contain the sides of a polygon. Without graphing the lines, make a prediction about what kind of figure the lines will create. Support your prediction with information you know from the given equations. y = 1/2x + 3 y = 1/2x – 2 y = 2x + 1 y = 2x – 3

(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.

54/3 is 18 so 18 is your answer