What is equivalent to (x+8)(x+4)?
1.x^2+12x32
2.2x^2+10x+12
3.2x^2+12x+16
​

1. x^2+12x+32

Step-by-step explanation:

(x+8)(x+4)

x(x+4)+8(x+4)

x^2+4x+8x+32

x^2+12x+32

x^2+12x + 32

Step-by-step explanation:

Lets solve this piece by piece

x * x = x^2

x*4 = 4x

8 * x = 8x

8*4 = 32

now if we add all of these we get

x^2 + 12x + 32

which happens to be the first option

what’s the question?

(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.