Step-by-step explanation:
$57000(1.025)²⁰ = $93,401
-pd - pz = -2z + 59
-pz = -2z + 59 + pd
-pz + 2z = 59 + pd
-z(p - 2) = 59 + pd
-z = 59 + pd over p - 2
z = -59 + pd/p - 2.
Answer:
(-∞ , -6] ∪ [6 , +∞)
Step-by-step explanation:
<u>Let D be the domain of f </u>.
D = {x ∈ IR ; where x² - 36 ≥ 0}
x² - 36 ≥ 0
⇔ x² ≥ 36
⇔ x² ≥ 6²
⇔ √(x²) ≥ √(6²)
⇔ |x| ≥ 6
⇔ x ∈ (-∞ , -6] ∪ [6 , +∞)
Dividing x^2 - 16 by 4x - 24 gives the quotient (1/4)x + 3/2
y = (1/4)x + 3/2 would be an asymptote ( discontinuity)
Another would be a vertical discontinuity when x = 6 (this would make the denominator 4x-24 = 0.