From 1990 to 1995, there are 5 years. We substitute 5 to the given equation in order to determine the greatest number of tickets for the Broadway.
S = 332 + 132t - 10.4t²
Substituting,
S = 332 + 132(5) - 10.4(5²) = 732
Thus, the maximum number of tickets that can be sold is $732.
Answer:
is a factor of 
Step-by-step explanation:
is a factor of 
We will prove this with the help of principal of mathematical induction.
For n = 1,
is a factor
, which is true.
Let the given statement be true for n = k that is
is a factor of
.
Thus,
can be written equal to
, where y is an integer.
Now, we will prove that the given statement is true for n = k+1

Thus,
is divisible by
.
Hence, by principle of mathematical induction, the given statement is true for all natural numbers,n.
Quadrant IV
Step-by-step explanation:
Use the mnemonics CAST.
The Cosine ratio and its reciprocal are positive in the fourth quadrant.
All the other trigonometric ratios are negative in the fourth quadrant.