Answer:
Function for given situation is : 
Value of computer after 4 years = $720.3.
Step-by-step explanation:
Given that the value of a $3000 computer decreases about 30% each year. Now we need to write a function for the computers value V(t). then we need to find about how much will the computer be worth in 4 years.
It clearly says that value decreases so that means function represents decay.
For decay we use formula:

where P=initial value = $3000,
r= rate of decrease =30% = 0.30
t= number of years
A=V(t) = future value
so the required function is 
or 
Now plug t=4 years to get the value of computer after 4 years.


Hence final answer is $720.3.
Answer:
100%
Step-by-step explanation:
Use conditional probability:
P(B | A) = P(B and A) / P(A)
P(B | A) = (12/28) / P(A)
We need to find the probability that a student studies art.
P(A or B) = P(A) + P(B) − P(A and B)
24/28 = P(A) + (12+12)/28 − 12/28
P(A) = 12/28
P(B | A) = (12/28) / (12/28)
P(B | A) = 1
What this means is that all of the students who study art also study biology.
The greatest common factor is 32
Answer:
(x-6) (x-4)
Step-by-step explanation:
x^2 - 10x + 24
What 2 numbers multiply to 24 and add to -10
-6*-4 = 24
-6+-4 = -10
(x-6) (x-4)
Given functions are


The total number of ducks and swans in the lake after n months can be determined by adding the functions s(n) and d(n).





Taking 2 as common, we get

Hence The total number of ducks and swans in the lake after n months is