Melinda can take $500 today, or she can wait 1 year and receive $550. the good news is that melinda does not need the money, so either way the money is a bonus. if she takes the money today, she’ll put it in the bank and receive a 3% rate of return (so she would have a total of $515 a year from now). if melinda does, in fact, take the $500 today, you could say that:

Assuming Melinda is a rational person which maximize his returns:

She has a project which yields more than the oppportunity cost of 10%

Assuming is not:

it will place it on the bank, generating 15 interest revenue from the accounting point of view

and lossing 35 dollars from the economic point of view.

Explanation:

She could earn 50 dollars in a year (550 - 500)

from the 500 initial invesment

this rate is: 50 / 500 = 10%

That will be the opportunity cost rate for Melinda.

If she takes the money today it will be because there is a potential project which yields more than this.

She will not put it in the bank as it will yield lower than 10%

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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