D
9
CD = [?]
A 3 B 3 C
Enter the number that belongs in
the green box.

113.1

step-by-step explanation:

v=4

3πr3=4

3·π·33≈113.09734

(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.

the solution, from the graphing of the two lines, is (3,2), i.e., x = 3, y = 2.