we have the function

For x=2
substitute

therefore
<h2>the answer is 4.20 million dollars</h2>
Answer: 2405970 ways
Step-by-step explanation:
When the order of selecting r individuals out of n individual , we use permutations.
The number of permutations of r things taking out of n things is given by :-

Given : There are 135 people and three door prizes .
i.e. n= 135 , r= 3
Then, the total number of ways = 

Hence, there are 2405970 ways to distribute door prizes of $7,500, $750 and $75 .
Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.
Answer:
he /she must be patient as a teacher