Blue Co. recorded a right-of-use asset of $100,000 in a 10-year operating lease. Payments of $16,275 are made annually at the end of each year. The interest rate charged by the lessor was 10%. The balance in the right-of-use asset after two years will be:

$86,822.50

Explanation:

GIVEN the following ;

Right-of-use asset = $100,000

Annual payment = $16,275

Interest rate = 10% = 0.1

Calculate the balance in the Right-of-use asset after two years:

We calculate the amortization expense for YEAR 1 and YEAR 2, and deduct each year's amortization expense from the Right-of-use asset balance

Amortization expense = (Annual payment - interest on Right-of-use asset balance)

Right-of-use asset balance = $100,000

FIRST YEAR :

10% × $100,000 = $10,000

Annual payment = $16,275

Amortization expense = $(16,275 - $10,000) = $6,275

Right-of-use asset balance after first year = $100,000 - $6,275 = $93,725

YEAR 2:

10% × $93,725 = $9,372.50

Annual payment = $16,275

Amortization expense =$(16,275 - 9,372.50) = $6,902.50

Right-of-use asset balance after second year = $93,725 - $6,902.50 =$86, 822.50

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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