Find the greatest common factor of the
following monomials:
29g^5g^4 19g^3g^5

The greatest common factor of the monomial is g³h⁴

Explanation:

Greatest common factor of the following are:

29g⁵h⁴ = 29 X g X g X g X g X g X h X h X h X h

19g³h⁵ = 19 X g X g X g X h X h X h X h X h

Common factors are = g³h⁴

Therefore, the greatest common factor of the monomial is g³h⁴

answer: a

step-by-step explanation: the answer is a due to the rule of symmetry; that a line of symmetry must divide a figure into 2 pieces that are the exact same, only reflected over a line of symmetry. b and c do not have lines of symmetry and would not divide the figure evenly, thus making the answer a.

(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.