7(4p+2q+3r)
equal what

Answer : 28p + 14q + 21r

The word distributive property is a rule or method that states that every term inside grouping symbols may be multiplied by a term outside grouping symbols to yield the equivalent expression.

Here is the formula for this question

a(b+c) = ab + ac

7(4p+2q+3r)

=28p + 14q + 21r

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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.