The cost to buy tickets online for a dance show in $60 per ticket. a. Write a function that represents the cost C ( x ) ( in $ ) for x tickets to the show. b. There is a sales tax of 5.5% and a processing fee of $8.00 for a group of tickets. Write a function that represents the total cost T ( a ) for a dollars spent on tickets. c. Find ( T ∘ C ) ( x ) d. Find ( T ∘ C ) ( 6 ) and interpret its meaning in the context of this problem.
The cost to buy tickets online for a dance show in $60 per ticket. a. Write a function that represents the cost C ( x ) ( in $ ) for x tickets to the show. b. There is a sales tax of 5.5% and a processing fee of $8.00 for a group of tickets. Write a function that represents the total cost T ( a ) for a dollars spent on tickets. c. Find ( T ∘ C ) ( x ) d. Find ( T ∘ C ) ( 6 ) and interpret its meaning in the context of this problem.
Solution Summary: The author explains how to determine a function representing the cost of x tickets to the show, based on the provided cost for per ticket.
The cost to buy tickets online for a dance show in $60 per ticket.
a. Write a function that represents the cost
C
(
x
)
(
in
$
)
for x tickets to the show.
b. There is a sales tax of 5.5% and a processing fee of $8.00 for a group of tickets. Write a function that represents the total cost
T
(
a
)
for a dollars spent on tickets.
c. Find
(
T
∘
C
)
(
x
)
d. Find
(
T
∘
C
)
(
6
)
and interpret its meaning in the context of this problem.
Problem #5
Section A of my math class has 110 students. Section B of my math class has 80 students.
a). If I randomly select 15 students from the combined classes, in a way that the order of my
selection does not matter, what is the probability that all 15 students can from Section A?
b). If I randomly select 15 students from the combined classes, in a way that the order of my
selection does not matter, what is the probability that all 15 students can from Section B?
c). If I randomly select 15 students from the combined classes, in a way that the order of my
selection does not matter, what is the probability that all 7 students come from section A and 8
students come from section B?
Problem #6
A special passcode to unlock your phone consists of 4 digits where repeated digits are not
allowed. If someone were to randomly guess a 4 digit passcode, what is the probability that
they guess your passcode on the first try?
Problem #3
If a card is picked at random from a standard 52-card deck, what is the probability of getting a
black card or a queen?
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY