Answer:
The amount of the equal, annual deposits made on birthdays 5 through 15 is $3,970.58
Explanation:
First, let's calculate the present value of the college expenses on her 17th birthday (a year before college) using NPV formula
NPV(9%, 20000...32000) = $82,839.69
Now, its value on 15th birthday should be equal to 82,839.69 / (1 + 9%)² = $69,724.51
Using the PMT formula, we can calculate the annual amount they have to invest for 11 years to get to this sum at 9% annual rate
PMT(rate = 9%, nper = 11, pv = 0, fv = 69,724.51, 0) = $3,970.58
Answer:
You will need to have $ 55,006.94
Explanation:
We need first to consider the following details according to the problem
We have a Annuity amount of $ 2900, a Rate(r)= 0.51%, and a Time(n)= 5 years (or 20 quarters )
.
To reach to the money that we would need to have in the bank today to meet the expense over the next four years we use the following formula:
PVA= annuity amount × [1 - (1 / (1 + r)n)] / r
PVA= $ 2900 x[ 1-{ 1/(1+0.0051)20)]/0.0051
PVA= $ 55,006.94
The account that’s compounded continuously is the better investment long-term because you accrue interest on top of interest on a daily basis which grows exponentially.
Answer:
Fiedler's contingency theory of leadership effectiveness.
Explanation:
Fiedler's contingency theory of leadership effectiveness states that one's effectiveness as a leader is determined by how leadership can match the situation at hand.
There is no single best way to lead, but leadership style is determined by the situation.
According to Fiedler's contingency theory of leadership effectiveness, leadership style is fixed and leaders will need to be put into situations that best matches their style.
The two important factors to consider in thos theory are leadership style and situational favourableness.
Answer:
The capacity of the lathe department is 3200 parts/week. The workers capacity is the bottleneck.
Explanation:
In this case we have to compare the machine capacity and the worker capacity, and detecting shich one is limitating the capacity of the department.
Machine capacity
The time it takes for a machine to process a batch is
In 40-hour week, every machine can process 2 batches/week.
With 20 machines, the capacity of the department is 2*20=40 batch/week (4000 pcs/week).
Workers capacity
With 40-hour week and 5-hours setup, every worker can make (40/5)=8 setups a week.
If the department has 4 workers, the amount of setups that can be done is 4*8=32 setups/week. That means that only 32 batches can be processed per week (3200 pcs/week).
The workers resource is the limitating capacity, and therefore the capacity of the lathe department.
