Answer 2 of the following 4 discussion questions below. thanks
In: Economics
If you deposit 100, 200, and 500 at the end of periods 2, 4, 6 respectively in an account that pays 10% compounded annually during the first two periods, 8% compounded annually in periods 3, 4, and 5, and 12% compounded annually in every period thereafter, how much would you have in the account at the end of period 8?
Please provide solution with steps and explanation
In: Accounting
Four cards bearing the numbers 2, 3, 4 and 5 are placed on the table. Two cards are selected from these four cards to form a two-digit number. List the sample space. Find the probability that the number formed
a) Is divisible by 3.
b) Is greater than 33
c) Is a multiple of 11
d) Is less than 55.
In: Statistics and Probability
7) (a) (2 pts) How many permutations are there of the word QUARANTINE?
(b) (4 pts) How many of the permutations of QUARANTINE do NOT the same letter appearing consecutively? (Thus, any permutation with the substring "AA" should not be counted and any permutation with the substring "NN" should not be counted.)
(c) (6 pts) A mountain permutation is defined as one where the first portion of the permutation has letters in strictly increasing alphabetical order, and the second portion with the letters in strictly decreasing alphabetical order. One mountain permutations of the letters in QUARANTINE is AINTURQNEA. Notice that only a set of letters with a unique "maximum" alphabetic letter have mountain permutations. For this permutation, A < I < N < T < U, and U > R > Q > N > E > A. How many mountain permutations are there of the letters in the word QUARANTINE?
In: Advanced Math
In: Economics
4. What is the future value of $15,000 saved at i=38.45% , compounded quarterly in 2 years?
5. Suppose you save $19,000 per year in an ordinary annuity promising you an interest rate of i=7.625% compounded once per year. How much will you have after 35 years?
6. A risk-free bond will pay you $1,000 in 1 year. The annual discount rate is i=19.69% compounded annually. What is the bond’s present value?
7. A risk-free bond will pay you $1,000 in 2 years and nothing in between. The annual discount rate is i=67.5% compounded annually. What is the bond’s present value?
In: Finance
Business income is assessable under s 4(a) of the Act. Section 2 of the Act defines ‘business’ to include profession, vocation and trade and every manufacture, adventure or concern in the nature of trade, but excludes employment. Over the years, the courts in Malaysia have laid down various guidelines or tests to distinguish gains arising from the disposal of an investment and gains from trade or an adventure or concern in the nature of trade. The acid test is the ‘badges of trade’.
REQUIRED:
Discuss in detail all the badges of trade in Malaysia with relevant examples and tax law cases to be quoted.1500words pls
In: Accounting
solve the inital value problem ?′′ + 6?′ + 9? = 2?^(-t) ; ?(0) =4, ?’(0) = −6
In: Advanced Math
A company has 2 million shares outstanding that are currently priced at $4 each and have a beta of 1.3. Five years ago the company issued bonds with a total face value of $3 million. One bond has a face value of $250,000. The bonds have a coupon rate of 3% p.a. and coupons are paid every six months. The bonds mature in fifteen years from today. The bonds currently yield 4% p.a., the market return is 7% p.a., the risk-free return is 2% p.a., and the company tax rate is 30%.
What proportion of the firm's capital structure is equity?
In: Finance
Consider a 4-mg raindrop that falls from a cloud at a height of 2 km.
Part a) If we neglect air resistance, what would be the speed of the raindrop when it reaches the ground? Assume that the falling raindrop maintains its shape so that no energy is lost to the deformation of the droplet.
________ m/s
Part b) When the raindrop reaches the ground, it won't kill you or even bruise you because its terminal velocity is just 10 m/s. Calculate the work done by the air resistance on the raindrop. Recall that positive work done on an object/system increases the energy of that object/system. Again, assume that the falling raindrop maintains its shape so that no energy is lost to the deformation of the droplet.
________ Joules
Part c) What percentage of the raindrop's initial mechanical energy was lost to air resistance? (Based on your answers, ask yourself if you think it is reasonable to ignore air resistance when evaluating the fall of a raindrop from the sky.)
________ %
In: Physics