Ari walked 2 and 3/4 miles at a constant speed of 2 and 1/2 miles per hour. beth walked 1 and 3/4 miles at a constant speed per hour. cindy walked for 1 hour and 21 minutes at a constant speed of 1 and 1/8 miles per hour. list the three people in order of the times they spent walking from least time to greatest time.

(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.

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step-by-step explanation: