M=-1/4 what is the parallel slope and the perpendicular slope?

Parallel slope = -1/4 and perpendicular slope = 4.

Step-by-step explanation:

If an equation of a line y = mx +c is given then it's gradient ( slope) is m.

then the slope parallel to this line will be equal to the slope of the original line that is equal to m.

We know for two lines perpendicular to each other formula is

m × m' = -1 or

Now for m = -1/4

Slope of parallel line slope will be = -1/4

and slope of perpendicular line

So the answer is (-1/4) and 4.

(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.