Answer:
N = 920(1+0.03)^4t
Step-by-step explanation:
According to the given statement a car repair center services 920 cars in 2012. The number of cars serviced increases quarterly at a rate of 12% per year after 2012.
Rate is 12 % annually
rate in quarterly = 12/4= 3%
We will apply the compound interest equation:
N=P( 1+r/n)^nt
N= ending number of cars serviced.
P= the number of cars serviced in 2012,
r = interest rate
n = the number of compoundings per year
t= total number of years.
Number of compoundings for t years = n*t = 4t
Initial number of cars serviced=920
The quarterly rate of growth = n=4
r = 3%
The growth rate = 1.03
Compound period multiplied by number of years = 920(1.03)^4t
Thus N = 920(1+0.03)^4t
N = number of cars serviced after t years...
Answer:
a. 0.9049
b. 0.2297
c. 0.8473
Step-by-step explanation:
Given U = 46.7, SD = 1.75
and Z = (U - X)/sd
(a). We want to find P(X<=49)
P(X<=49) = P(Z<= 49-46.7/1.75)
= P(Z<= 1.31)
= 0.90490
~= 0.9049
(b) P(X>=48) = P(Z>=48-46.7/1.75)
=P(Z>=0.7429) = 1 - P(Z<=0.7429)
= 1 - 0.77035
= 0.22965
=0.2297
(c) The required probability is given by P(U±2.5).
P(46.7±2.5) = (44.2<= X <=49.2)
= P( 44.2<= Z <= 49.2)
= P(44.2 - 46.7/1.75 <= Z <= 49.2- 46.7/1.75)
= P( - 1.4286 <= Z <= 1.4285)
= P(1.4285) - P(-1.4285)
= P(1.43 ) - P(-1.43)
= 0.92364 - 0.07636
= 0.8473
Answer:
<u>17 nights.</u>
Step-by-step explanation:
The total length of the scarf that should be knitting = 34 cm
Sarah has already knit 17 centimeters of a scarf.
So, the remaining = 34 - 17 = 17 cm
Sarah can knit 1 centimeter each night.
So, the number of nights will Sarah have to spend knitting = 17/1 = 17 nights.
