1/2 , 5/16 , 30/64 , 3/8 , 9/12 in order from least to greatest

1/2, 3/8, 5/16, 9/12, and 30/64. Hope this helped!

1/2, 9/12, 3/8, 5/16, 15/32

Step-by-step explanation:

(divide 3) 9/12 (divide 3)

                =3/4

(divide 2)30/64 (divide 2)

              =15/32

60%

(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.