On january 1, 2014, huber co. sold 12% bonds with a face value of $1,000,000. the bonds mature in five years, and interest is paid semiannually on june 30 and december 31. the bonds were sold for $1,077,250 to yield 10%. using the effective-interest method of amortization, interest expense for 2014 is

$107,418.13

Explanation:

Interest expense using the effective interest method = Part A + Part B

Where:

Part A = bonds' selling price x 6 months effective interest rate = $1,077,250 x 5% =  $53,862.50

Part B = { bonds' selling price - [(face value x stated interest for 6 months) - (bonds' selling price x 6 months effective interest rate)]} x 6 months effective interest rate  

= { $1,077,250 - [($1,000,000 x 6%) - ($1,077,250 x 5%)]} x 5% = [ $1,077,250 - ($60,000 - $53,862.50)] x 5% = ($1,077,250 - $6,137.50) x 5% = $1,071,112.50 x 5% = $53,555.63

Interest expense = $53,862.50 + $53,555.63 = $107,418.13

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; false pretense;