What is the sign of the product (–5)(–3)(–8)(–6)? a. positive, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is positive b. positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive c. negative, because the products (–5)(–3) and (–8)(–6) are negative, and the product of two negative numbers is negative d. negative, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is negative

(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.

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."