Answer:
P(t) = 27000 * (1/9)^(t/4)
Step-by-step explanation:
This problem can me modelled with an exponencial formula:
P = Po * (1+r)^t
Where P is the final value, Po is the inicial value, r is the rate and t is the amount of time.
In this problem, we have that the inicial population/value is 27000, the rate is -8/9 (negative because the population decays), and the time t is in months, so as the rate is for every 4 months, we use the value (t/4) in the exponencial.
So, our function will be:
P(t) = 27000 * (1-8/9)^(t/4)
P(t) = 27000 * (1/9)^(t/4)
Answer:
Option (B)
Step-by-step explanation:
Given question is not complete; find the complete question in the attachment.
In the graph attached,
Parent function is an absolute value function,
f(x) = |x|
When this graph is shifted 4 units left, rule for the translation will be,
f(x) → f(x + 4)
Therefore, the new function of above translation will be,
g(x) = f(x + 4) = |x + 4|
Now the graph is shifted 2 units down so the translated function will be,
h(x) = g(x) - 2
h(x) = |x + 4| - 2
If we rewrite the function in the form of an equation, graph will be represented by
⇒ y = |x + 4| - 2
Therefore, Option (B) will be the answer.
Answer:
a) f(-1/2) = -2 is NOT TRUE.
b) f(0) =3/2 is TRUE.
c) f(1) = -1 is NOT TRUE.
d) f(2) = 1 is NOT TRUE.
e) f(4) = 7/2 is TRUE.
Step-by-step explanation:
Here, the given function is 
Now, checking for each values for the given function:
a) Putting x = (-1/2):

and (5/4) ≠ -2
Hence, f(-1/2) = -2 is NOT TRUE.
b)Putting x = 0 :

Hence, f(0) =3/2 is TRUE.
c) Putting x = 1:

Hence, f(1) = -1 is NOT TRUE.
d)Putting x = 2:

and (5/2) ≠ 1
Hence, f(2) = 1 is NOT TRUE.
e)Putting x = 4:

Hence, f(4) = 7/2 is TRUE.
Answer: 
Step-by-step explanation:
Given: The manager of a video game store found that 35 of the 140 people who preordered the latest baseball game canceled their orders the day before the game was released.
The probability that two customers who preorder the newest golf game will both cancel their orders the day before the game is released

Hence, The probability that two customers who preorder the newest golf game will both cancel their orders the day before the game is released is
.