The prepaid insurance account had a balance of $11,700 at the beginning of the year. The account was increased for $7,800 for premiums on policies purchased during the year. What is the adjustment required at the end of the year for each of the following independent situations? For each account affected, indicate whether the account is increased or decreased, and the amount of the increase or decrease. a. The amount of unexpired insurance applicable to future periods is $11,000.

a) The adjustments required at the end of the year for the transaction are:

Debit to Insurance Expense for $8,500 and Credit to Prepaid Insurance for $8,500.

b) For this transaction, the Prepaid Insurance account is decreased by $8,500 while the Insurance Expense is increased by $8,500.

Explanation:

a) Data and Calculations:

Prepaid Insurance    $11,700

Cash account              7,800

less Prepaid, ending  11,000

Insurance Expense  $8,500

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.