Mercantile corporation has sales of $2,000,000, variable costs of $1,100,000, and fixed costs of $750,000. mercantile's margin of safety ratio is

margin of safety ratio is 7.5%

Explanation:

sales made/budgeted sales = $2000000

variable cost = $1100000

fixed costs = $750000

Total cost incurred = variable cost + fixed cost

                               = $1100000 + $750000

                               = $1850000

margin of safety = (sales made/budgeted sales) - (the break-even point)

Break-even point is the point where sales made is equal to total cost incurred

The break-even point is = $1850000 which is contained inside the sales made i.e the point where cost incurred meets sales made

while the margin of safety is = the sales made - the break even point

                                                = $2000000 - $1850000

                                                = $150000

Margin of safety ratio is calculated as = margin of safety / total sales * 100

the margin of safety ratio  = 150000/2000000 * 100

                                              = 0.075 * 100 = 7.5%

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.

answer the amount a seller is paid minus the cost of production;