The vertices of tri. pqr are p(-3,8), q(-6,-4) and r(1,1). if you reflect tri. pqr across the x-axis , what will be the coordinates of the vertices of the image tri p'q'r?

P(-3,-8) Q(-6,4) R(1,-1). Because it reflects over the x-axis the x values stay the same and the y values change signs.

(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.