The Cinci Company issues $100,000, 10% bonds at 103 on October 1, 2020. The bonds are dated January 1, 2020 and mature eight years from that date. Straight-line amortization is used.
Interest is paid annually each December 31. Compute the bond carrying value as of December
31, 2024.

According to the given values in the question:

The Amortization period is:

=

=

Number of months of Amortization is:

=

=

=

Now,

On bonds payable, the premium will be:

=

=

=

= ($)

The Unamortized premium will be:

=

=

=

= ($)

hence,

The carrying value as of December  31, 2024 will be:

=

= ($)

Learn more about the bond carrying value here:

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

3

step-by-step explanation:

because where the point where the 2 lines intersect is (3,-1) the x value is 3