2 intersecting lines are shown. A line with points M, H, K intersects a line with points L, H, J at point H. 4 angles are created. Clockwise, from the top, the angles are (5 m + 100) degrees, blank, blank, (2 m + 10) degrees. What is the value of m?

10
30
70
150

it is 570

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.