A band is performing at an auditorium for a fee of $1500. In addition to this fee, the band receives 30% of
1 answer:
Answer:
A.
B. 584
Step-by-step explanation:
A band is performing at an auditorium for a fee of $1500.
In addition to this fee, the band receives 30% of each $20 ticket sold. Let x be the number of tickets sold, then these x tickets cost $20x. Calculate 30% of 20x:
A. The total cost is
The maximum capacity of the auditorium is 800 people, so x≤800.
B. The band needs $5,000 for new equipment so
So, it is enough 584 tickets to be sold.
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The formula for an infinite geometric sequence is the following:
Just substitute the values of
and r into the formula.
Therefore, the answer is 20.
Just substitute the values of
Therefore, the answer is 20.
Answer:
r(t) and s(t) are parallel.
Step-by-step explanation:
Given that :
the lines represented by the vector equations are:
r(t)=⟨1−t,3+2t,−3t⟩
s(t)=⟨2t,−3−4t,3+6t⟩
The objective is to determine if the following lines represented by the vector equations below intersect, are parallel, are skew, or are identical.
NOTE:
Two lines will be parallel if
here;
Thus;
∴
Hence, we can conclude that r(t) and s(t) are parallel.