A zero-coupon bond has a face value of $21,000 and a maturity of 8 years. Similar bonds have an interest rate of 5% per year. What is the price of this bond

Zero-cupon bond= $14,213.63

Explanation:

Giving the following information:

A zero-coupon bond has a face value of $21,000 and a maturity of 8 years. Similar bonds have an interest rate of 5% per year.

To calculate the price of the bond, we need to use the following formula:

Zero-cupon bond= [face value/(1+i)^n]

Zero-cupon bond= [21,000 / (1.05^8)]

Zero-cupon bond= $14,213.63

comment it always confuses me

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.