(27x^5 - 33x^4 - 21x^3)/3x^2 = (27/3)x^(5 - 2) - (33/3)x^(4 - 2) - (21/3)x^(3 - 2) = 9x^3 - 11x^2 - 7x
Answer:
Step-by-step explanation:
The formula you need for this is
where
A(t) is the amount after a certain number of years has gone by,
P is the initial deposit,
r is the interest rate in decimal form,
n is the number of compoundings done per year, and
t is the amount of time in years.
For us,
A(t) = 11900
P is 250
r is .048
n is 12 (there are 12 months in a year)
t is our unknown. Filling in:
which simplifies a bit to
. Now we'll divide both sides by 250:
and then take the natural log of both sides to bring that t down out front:
and then
ln(47.6) = 12t ln(1.004). Now divide both sides by ln(1.004) to isolate the 12t:
967.6383216 = 12t and divide both sides by `12 to get
t = 80.6 months which is 6.7 years
Since volume equals LxWxH it is 6x6x6= 216
So, 40 Customers are waiting at 10 A.M.
According to statement
Number of customers arrives at coffee shop per hour = 100
Capacity of shop for per minute per customer = 0.8 minute
Capacity of shop for customers per hour = 80
Find number of customers are by
Queue growth rate = Demand - Capacity
Put the values in the formula and find the growth rate
So,
Queue growth rate= 100 - 80 = 20.
Length of queue at 10 a.m. = 2 × 20 = 40.
So, 40 Customers are waiting at 10 A.M.
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