\The southeast division of a distribution company is planning on purchasing a new delivery truck for $18,500. The current truck has a book value of $5,000 and will be sold immediately. The new truck is expected to increase operating income by $6,000. Additional information is as follows: Current operating assets $800,000 Current operating income $82,500 Minimum rate of return 10% Profit margin 15% Based on the expected change in the return on investment metric, should the truck be purchased? Group of answer choices

the company should purchase the new delivery truck

Explanation:

current rate of return without the purchase of the new truck = $82,500 / $800,000 = 10.31% ≥ required rate of return (10%)

operating income increases by $6,000

assets increase by $18,500 - $5,000 = $13,500

rate of return after purchase = $88,500 / $813,500 = 10.88% which is higher than previous rate of return and higher than the required rate of return

since the rate of return will increase if the new truck is purchased, then it should be considered a good investment.

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.

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