Solve the following please

a) 25

b) 14

Step-by-step explanation:

Subtract 3 on both sides.

a/5 + 3 - 3 = 8 - 3

a/5 = 5

Multiply 5 on both sides.

a/5(5) = 5(5)

a = 25

Add 1 on both sides.

(3b)/7- 1 + 1 = 5 + 1

(3b)/7 = 6

Multiply both sides by 7.

(3b)/7 (7) = 6(7)

3b = 42

Divide both sides by 3.

(3b)/3 = 42/3

b = 14

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation:

(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.