Revenue from single-day ticket sales at a local amusement park can be modeled by the function y=-x2+11x+42 and revenue from season pass sales can be modeled by the function y=-5x+81, where x represents the number of months past January and y represents the total revenue in tens of thousands of dollars.

answer: 414,377,008

step-by-step explanation:

just multiply it

(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.

1k

step-by-step explanation:

-6k+7k

(-6+7)k

1k