Answer:
$2,721.34
Explanation:
The computation is shown below:
The present value of the following cash flow stream is $8,400
The Present value after applying the discount factor of each year is presented below:
Year Annual cash flows Discount factor Present value
Year 1 $2,000 0.9174311927 $1,834.862
Year 2
Year 3 $2,600 0.7721834801 $2,007.677
Year 4 $3,200 0.7084252111 $2,266.961
Total $6,109.500
The remaining amount is
= $8,400 - $6,109.500
= $2,290.50
And, in year 2, the factor is
= (1 + rate)^2
= (1 + 0.09)^2
= 1.1881
So, the missing cash flow is
= $2,290.50 × 1.1881
= $2,721.34
The discount factor should be computed by
= 1 ÷ (1 + rate) ^ years
Answer:
Arrival rate
1 every 3 minutes
1 minute = 1/3 = 0.33
60 minutes = 0.33*60 = 19.8 = 20 per hour
λ = 20 per hour
Service Rate
1 every 2 minutes
1 minutes = 1/2 = 0.5
60 minutes = 0.5*60 = 30 per hour
µ = 30 per hour
a. Utilization of Teller Machine
P = λ / µ
P = 20/30
P = 66.67%
b. Average number of customers in line
Lq = pL = (λ/µ) (λ/µ- λ)
= (20 / 30) (20 / 30 - 20)
= 20/30 * 20 / 10
= 1.33 customers
c. Average number of customers in the system
L = (λ/µ- λ)
= 20 / 30 - 20
= 20 / 10
= 2 customers
d. Average time customer spends in line
Wq = λ/[µ*(µ- λ)]
= 20 / [30 * (30-20)]
= 20 / 30 * 10
= 0.06667 hours or 4 minutes
e. Average time customers spend in the system
W = 1/(µ- λ)
= 1 / 30 - 20
= 1/10
= 0.10 hours or 6 minutes
f. Probability that there are 3 customers in the system
Pn = (1-p)*p^n
= (1 - 20/30) * (20/30)^3
= 0.3333 * 0.296296
= 0.09876
g. Probability that there are two or more customers in the system
= 1 - P(0) - P(1)
= 1 - (1 - 20/30) * (20/30)^0 - (1 - 20/30) * (20/30)^1
= 1 - 1/3 - 2/9
= 4/9
= 0.4444
Answer:
D. an increase in the price of a good causes a decrease in market demand for that good.
Explanation:
First, if prices decrease, then people will feel wealthier and consume more and the aggregate demand increases. (Pigou´s effect)
Second, if interest rates decrease available domestic investors will invest in foreign countries where return (interest rates]) on investments are higher. If domestic investors invest in foreign countries the supply of dollars will increases. This will decrease the real exchange rate and then exports will be affected in a positive way; exports will increase and thus the aggregate demand.
Third, when the price level is down, consumers demand less currency, which means that they will keep more money in their bank accounts. If banks have more money, then the interest rate for loans decrease. If interest rates decrease, the cost of investment decreases too. Then, if the price for investment decreases, the demand for it increases and the aggregate demand decreases too.
Answer:
total variable cost increases
Explanation:
Variable cost refers to the expenses that change with production volume. There is a direct relationship between variable costs and the level of production. An increase in the output level will result in a rise in variable costs. For sales volume to increase, the output level must have been high.
A high production level is necessary to support a high sales volume. Examples of variable costs are packaging and raw materials. A high output level will require the use of a large volume of raw materials, hence higher costs. Fixed cost contrast variable costs, as they do not change with varying output.
Answer:
B) low social rapport and direct interaction
Explanation:
Since this teams are usually not located in the same place. The rapport and the interaction is low.
