Determine the root of y = x^5 + 5x^4 – 15x^3 – 75x^2 – 16x – 80 between x7 = 3.5 and xu = 5.75 with stopping criteria of 1. % approximate error by using: 1. the bisection method 2. the false position method present your answers in tables using five significant figures.

2/3

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.