Answer:
Part a: The probability of breaking even in 6 tosses is 0.3125.
Part b: The probability that one payer wins all the money after the 10th toss is 0.0264.
Explanation:
Part a
P(success)=1/2=0.5
P(Failure)=1/2=0.5
Now for the break-even at the sixth toss
P(Break Even)=P(3 success out of 6)
P(3 success out of 6)

So the probability of breaking even in 6 tosses is 0.3125.
Part b:
So the probability that one of the player wins all the money after the 10th toss is given as the tenth toss is given as a win so
Wins in 9 tosses is given as 9!/7!=72
The probability that the other person wins
Wins in 8 out of 10 tosses is given as 10!/8!(10-8)!=10!/8!2!=45
So the probability of all the money is won by one of the gambler after the 10th toss is given as
P=number of wins in 9 tosses-Number of wins in 10 tosses/total number of tosses
P=(72-45)/2^16
P=0.0264
So the probability that one payer wins all the money after the 10th toss is 0.0264.
Answer:
When labor unions successfully bargain for wage rates that are HIGHER THAN the equilibrium wage rate, they may cause AN INCREASE IN STRUCTURAL UNEMPLOYMENT.
Explanation:
When a labor union bargains for wages that are above equilibrium rate, this will produce the same effect as a price floor. The supply of labor will increase, while the demand for labor will decrease. This deadweight loss generated by high wages will result in an excess supply that will eventually lead to higher structural unemployment.
Answer:
Total amount at the end of 4 years = $135.16
Explanation:
A simple interest account pays interest on only the sum deposited at an annual rate for a specified period of time without compounding or adding the interest earned in a particular period in the calculation of interest earning for the next period. Thus, if 1000 is invested and interest s earned at 10% then the interest earned will remain constant for every period the money is still deposited in the account.
The formula to calculate interest under simple interest method is,
Interest = Principal * Annual Rate * Time in years
Total Interest earned = 109 * 6% * 4
Total interest earned = 26.16
Total amount at the end of 4 years = Principal + Interest
Total amount at the end of 4 years = 109 + 26.16
Total amount at the end of 4 years = $135.16
Answer:
A.
2015 37.7
2016 12.9
B. Yes
Explanation:
Computation of the times interest earned ratios for 2016 and 2015
First step is to find the EBIT
EBIT: 2016 $ 2015 $
Gross profit 44,500 58,400
Less Selling, General and Administrative expenses (36,900) (38,800)
EBIT 7,600 19,600
Second step is to compute the times interest earned ratios for 2016 and 2015 using this formula
Time interest earned = EBIT / Interest expense
Let plug in the formula
Time interest earned 2016 2015
EBIT $7,600 $19,600
÷Interest expense $590 $520
=Time interest earned 12.9 37.7
Therefore the Time interest earned will be :
2015 37.7
2016 12.9
2. Yes Computer Tycoon generate sufficient net income in both 2015 and 2016 before taxes and interest in order to cover the cost of debt financing.
Answer:
c = $71.80.
Explanation:
So, from the question above, it is given that the dividend in the first year = $1.65, the dividend in the second year = $2.54, the dividend for the third year grows at the rate of 8% and the appropriate required return for the stock = 11%.
The first thing to do here is to determine the terminal value. The terminal value can be calculated as below as;
Terminal value = [ 2.54 × ( 1 + 8/100) ÷ (11/100 - 8/100) ] = 91.44
The value of the stock today can be calculate as be as:
The value of the stock today = 1.65 / (1 + 11/100 )¹ + 1.97 / (1 + 11/100)² + 2.54 / (1 + 11/100)³ + 91.44 / (1 + 11%)³ = $71.80.
Therefore, stock should be worth $71.80 today.