"customer's long margin account shows the following: Market Value: $100,000 Debit Balance: $60,000 SMA: $5,000 If the customer wishes to eliminate the restriction in the account, he can do which of the following? I Deposit $10,000 of fully paid marginable securities II Deposit $20,000 of fully paid marginable securities III Deposit $5,000 of cash IV Deposit $10,000 of cash"

I Deposit $10,000 of fully paid marginable securities

II Deposit $20,000 of fully paid marginable securities

Explanation:

Marginable securities refers to stock, bonds and other securities which are capable to be traded on margin. These facilities are marketed by financial institution and brokerage. SMA cannot be used to pay a loan, when SMA is withdrawn it increases the loan balance which in turn increases restrictions.

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.

the investment was $14,174.196

explanation:

a lump sum means that the father of the example made one deposit and leave it be.

we need to know the value of a capital that generated at 4.05% per year during 28 years the sum of $48,613.24

now clearing the formula to solve for capital we got:

and we reach the answer investment = $14,174.20