Find the missing reason in the proof. 112
3/4
6/5
8/7
Given: two parallel lines cut by
a transversal, m26 = 3x, and
mZ8 = 99°
Prove: x = 33
Proof:
Statements
Reasons
1. m26 = 3x, mZ8 = 99° Given
2. m26 = m28
?
3. 3x = 99
Substitution
4. x = 33
Division Property of Equality

(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.

answer: it depends on what the tax percentage

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