'two more than the product of 7 and a number, n'
write an algebraic expression from this information.

(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: our required factorization will be

(3x+4)(x²-5)

step-by-step explanation:

since we have given that

now, we will write it as :

so, we get

5(3x+4)

similarly,

here, we get,

2(3x+4)

together it becomes,

hence, our required factorization will be

(3x+4)(x²-5)

once you solve it out the value of x is 13