Answer:
and a₁ =30000 for n = 2,3,4,5,6, ......
Step-by-step explanation:
Doug has joined a job with a starting salary of $30000 per year.
Hence, if a₁ is the salary of Doug in the first year, then
a₁ =30000
Now, each year Doug will receive a raise of $3000 in his salary.
Hence, in the 2nd year, his salary(a₂) will become ( a₁ +3000) per year.
Again, in the 3rd year, his salary(a₃) will become ( a₂ +3000) per year.
Therefor, in the similar manner the recursive formula for his salary in each year will be given as and a₁ =30000 for n = 2,3,4,5,6, ...... {aₙ is the yearly salary of Doug in the nth year} (Answer)
g(x) = (1/4)x^2 . correct option C) .
<u>Step-by-step explanation:</u>
Here we have , and we need to find g(x) from the graph . Let's find out:
We have , . From the graph we can see that g(x) is passing through point (2,1 ) . Let's substitute this point in all of the four options !
A . g(x) = (1/4x)^2
Putting (2,1) in equation g(x) = (x/4)^2 , we get :
⇒
⇒
Hence , wrong equation !
B . g(x) = 4x^2
Putting (2,1) in equation g(x) = 4x^2 , we get :
⇒
⇒
Hence , wrong equation !
C . g(x) = (1/4)x^2
Putting (2,1) in equation g(x) = (1/4)x^2 , we get :
⇒
⇒
Hence , right equation !
D . g(x) = (1/2)x^2
Putting (2,1) in equation g(x) = (1/2)x^2 , we get :
⇒
⇒
Hence , wrong equation !
Therefore , g(x) = (1/4)x^2 . correct option C) .
The answer to ur equation is -1.5
Answer:
1) To determine how much the change of $9,000 to $10,395, we must subtract 9,000 from 10,395;
10,395 - 9,000 = $1,395 is the change in <u>price</u> (an increase).
Formula to find percentage of change;
Change in price/original amount x 100% (100/100)
Replace those values:
1,935 (change in price/increase) 100
_____ x _____ =<u> </u><u>%0.215</u>
9,000(original amount) 100