Which pairs are like terms in the expression below? Select all that apply. 2/5y + 1/5x – 0.2y – 6 + (–2)
A. 2/5y and 15x
B. 2/5y and –0.2y
C. 1/5x and –0.2y
D. –0.2y and 2
E. –6 and –2

true !

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.