The time value of money suggests that $1 in one year from now is worth less than $1 today. true / false.

False, we conclude that $1 in one year from now is worth more than that of today.

Explanation:

The time value of money (TVM) is concept that suggests money available at  present time is worth more than identical sum in future due to potential earning capacity.

This core principle in finance holds that the provided money can earn interest ,  and any amount of money is worth more the sooner it is received.

Also future money is not affected by inflation, only present money is.

Hence we conclude that $1 in one year from now is worth more than that of today.

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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