Answer:
The correct answer is $21,522.04.
Explanation:
According to the scenario, the given data are as follows:
Present value = $10,000
Rate of interest = 11%
Rate of interest (r) ( compounded monthly) = 11% ÷ 12 = 0.00916
time period = 7 years
Time period ( compounded monthly) (t) = 7 × 12 = 84
So, we can calculate the future value by using following method:
FV = PV × ( 1 + r)^t
By putting the value, we get,
FV = $10,000 × ( 1 + 0.00916)^84
FV = $21,522.04
Solution :
The average number of the arrivals, λ = 6 per hour
Average service rate, 
= 8
Average number of the customers in the system is given by,
= 3
Average number of the customers that are waiting in the line behind the person who are being served is,
= 2.25
Proportion of the time the server is busy,
= 0.75
Answer: $1750
Explanation:
Given Data
Earnings = $44/ hr
Overtime Earnings = 1.5 times Of $44
= $66
Hours worked during the week = 55 hrs
Social security tax rate = 6.0%
Medicare tax rate = 1.5%
Federal income tax = $633
Therefore:
Gross pay = Normal pay + overtime pay
Normal pay
= $44 * 40 hrs
= $1760
Overtime pay
= $66 * 15 hrs
= $990
Gross pay = $1760 + $990
= $1750
Social security tax
= 0.06 * $2750
= $165
Medicare tax
= 0.015 * $2750
= $41.25
Total tax
= $633 + $41.25 + $165
= $839.25
Net pay
= $2750 - $839.25
= $1910.75
Answer:
2 Days
Explanation:
First, there is the need to rewrite the utility function for clarity
U=V^{1/2}
1. The Probability of Falling ill by someone in the family is given as 20%
2. If someone should fall ill, the total number of days that would be spoiled is calculated as:
Total number of vacation= 10 days x Probability to fall ill = 20%
= 10 x 0.2 = 2 days
This means if someone should fall ill based on the probability, then 2 out of the total 10 days can be ruined
3. The number of days for vacation days to enjoy is 10-2 = 8 days
This means if the family gives up 2 days of probable illness, they can still enjoy their vacation.
V= 2 days
