The cost to buy tickets online for a dance show is $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.

Answers

Answer 1

Step-by-step explanation:

Given

cost of ticket=$60

a. the cost of x tickets is

C(x)=60x

b. sale tax of 5.5% of $60 is 5.5/100*60

   0.55*60=$3.3

processing fee = $8

the total cost T(a) for a dollars spent on tickets.

T(a)=60a+3.3+8

T(a)=60a+11.3

c. Find (T ∘ C)(x).

T(x)=60x+11.3

d. Find (T ∘ C)(6)

T(6)=60*6+11.3

T(6)=360+11.3

T(6)=$371.3

This means that for 6 tickets with a tax of 5.5% and a processing fee of $8 the cost will be $371.3


Related Questions

The running track behind the local gym is 3/ 4
mile long. The track and field team ran 2 2/3
laps around the track. How many miles did the team run? PLZZ help its timed

Answers

Answer:

2 Miles.

Step-by-step explanation:

[tex]2\frac{2}{3}=\frac{8}{3}\\\\\frac{8}{3}*\frac{3}{4}=\frac{2}{1}*\frac{1}{1}\\\\[/tex].

Your final answer is 2 miles.

Una empresa comercial vende automóviles cuyo precio es de S/.60000, con una cuota inicial del 20 % , para cancelar el saldo en treinta meses de plazo . Calcula la cuota fija mensual que se pagara si la empresa cobra una tasa de interes simple del 12% semestralmente

Answers

Responder:

$ 2560

Explicación paso a paso:

Dado lo siguiente:

Importe total (A) = 60000

Pago inicial = 20% de A

Pago inicial = 0,2 * 60000 = 12000

Importe pendiente de pago = (60000 - 12000) = 48000

Calcular el interés simple sobre el saldo de 48000 = principal

principal * tasa * tiempo

(48 000 * 0,12 * (30/6))

48000 * 0,12 * 5 = 28800

Por tanto, el importe total a pagar durante 30 meses será:

(48 000 + 28800) = 76800

Dado que el pago mensual es fijo:

Pago mensual = (monto total a pagar / cantidad de meses)

Pago mensual = (76800/30)

Pago mensual = $ 2560

Jane has $125 in her bank account. Her cell phone bill is $47 a month. If she pays that bill two months in a row and doesn’t buy anything else or deposit any money, how much money does she have left?

Answers

47+47=94

125-94=31

She will have 31 dollars left

Write the ratio as a fraction, in simplest form. (do not label)
60 teachers to 1,800 students

Answers

Answer:

1/30

Step-by-step explanation:

ASAP! PLEASE HELP! ILL GIVE BRAINLY! This is really needed now

Answers

Answer:

∠ABD = 48

Step-by-step explanation:

use symbolab

(x+15)=(4x-12)

x+15-15=4x-12-15

x=4x-27

x-4x=4x-27-4x

-3x=-27

divide both sides by 3 and you get x=9

then put 9 in to replace x

((9) + 15) + (4 (9) - 12)

=24 + (4 (9) - 12)

= 24 + 24

=48

ur welcome

4 to the power of -1

Answers

Answer:

0.25

I hope this helps!

Answer:

1/4

Step-by-step explanation:

Negative exponents basically flip the number upside down,

so 4 ^ -2 would be 1/4^2

where the four has a power of 2.

The answer would therefore be 1/16

Numbers to the power of 1, is just the same number, so if you have negative exponents, it would be the same 4, except flipped over.

2/11 inch thick. How thick will a stack of 15 magazines be?

Answers

wait do you mean that one magazine is 2/11 inches thick

It would take Delia 3 hours longer to re tile their bathroom by herself than it would for kari to retile on her own. If they work together it would take them 2 hours to retile their bathroom. How long would it take for Delia to retile the bathroom alone?

Answers

Answer:

6hours

Step-by-step explanation:

From the given information:

Suppose it took Karl x hours to retile her bathroom,

Then it will take Della 3 hours longer i.e (3+x) hours

If Della and Karl work together or will take them 2 hours

The objective is to determine how long it will take Delia to retile the bathroom alone?

[tex]\dfrac{1}{x}+\dfrac{1}{3+x}= \dfrac{1}{2}[/tex]

[tex]\dfrac{x+3+x}{x(3+x)}= \dfrac{1}{2}[/tex]

[tex]\dfrac{2x+3}{3x+x^2}= \dfrac{1}{2}[/tex]

By cross multiplying, we have:

2(2x+3) = 3x+x²

4x + 6 = 3x + x²

3x + x² - 4x - 6

x² - x - 6 = 0

Using quadratic equation

x² -3x +2x - 6 = 0

x(x - 3) + 2(x - 3) = 0

(x +2) (x - 3) = 0

x + 2 = 0 or x - 3 = 0

x = -2 or x = 3

Since we are concerned about the positive integer,

Then, Karl = x = 3 hours while Della which is (3+x) = 3+3 = 6hours

What is the value of x in the equation 2.5 (6x - 4) = 10 + 4(1.5 + 0.5x)?

1/3
1/2
2
13

Answers

[tex]15x - 10 = 10 + 6 + 2x[/tex]

[tex]15x - 10 = 16 + 2x[/tex]

Plus sides 10

[tex]15x - 10 + 10 = 2x + 16 + 10 \\ [/tex]

[tex]15x = 2x + 26[/tex]

Subtract sides -2x

[tex]15x - 2x = 2x - 2x + 26[/tex]

[tex]13x = 26[/tex]

Divided sides by 13

[tex] \frac{13}{13}x = \frac{26}{13} \\ [/tex]

[tex]x = 2[/tex]

_________________________________

Done.....♥️♥️♥️♥️♥️

Answer:

Um yes what they said :) I got 2 too.

Step-by-step explanation:

HELP ASAP JUST NEED THE ANSWER PLEASE

Answers

Answer:

1

Reason:

There can only be one answer for prime numbers.

Answer:

1 beause 11 is an odd number so there are no mulipules

Find the volume:
the picture below

Answers

Answer:

1,848m

Step-by-step explanation:

7x24x22= 3,696

Since it's a triangle, we split it into 2.

3,696÷2= 1,848

Therefore, your answer is 1,848.

Hope this helps!

A college has a financial aid formula that applies to applicants whose family's income is below a certain threshold. The financial aid can be determined by the function f(x)=25000+3000x,f(x)=25000+3000x, where xx is the number of siblings (including half siblings and step siblings) that the applicant has living in their household. Find and interpret the given function values and determine an appropriate domain for the function.

Answers

The values of the function are,

f (- 3) = 16,000 meaning a qualifying applicant with - 3 siblings in their household would get $16,000 in financial aid. This interpretation does not make sense in the context of the problem.

f (3) = 34,000 meaning a qualifying applicant with 3 siblings in their household would get $34,000 in financial aid. This interpretation makes sense in the context of the problem.

The domain for this function is x ≥ 0, indicating that the number of siblings must be a non-negative whole number or zero.

Given that,

The function is,

[tex]f (x) = 25000 + 3000x[/tex]

Where x is the number of siblings.

Hence, the values of the function are found as,

[tex]f (x) = 25000 + 3000x[/tex]

Put x = - 3;

[tex]f (- 3) = 25000 + 3000 \times - 3[/tex]

[tex]f (- 3) = 25000 - 9000[/tex]

[tex]f (- 3) = 16,000[/tex]

Put x = 3;

[tex]f (x) = 25000 + 3000x[/tex]

[tex]f (3) = 25000 + 3000 \times 3[/tex]

[tex]f ( 3) = 25000 + 9000[/tex]

[tex]f (3) = 34,000[/tex]

Since the given function is,'

[tex]f (x) = 25000 + 3000x[/tex]

Regarding the domain of the function,

Since the number of siblings (x) must be a non-negative integer, it represents the count of individuals.

Therefore, the appropriate domain for this function would be x ≥ 0, meaning x can be any non-negative whole number or zero.

To learn more about the function visit:

https://brainly.com/question/11624077

#SPJ12

For the given question some parts of the question are shown in the attached image.

What is the value of 30 minus 2 (7 + 2) minus 1?
A.11
B. 14
C. 17
D. 19

Answers

Answer:

A. 11

Step-by-step explanation:

30 - 2(7+2) - 1

30 - 2(9) -1

30-18- 1

12-1

11

Answer:

30 - 2(7+2) -1

PEMDAS

Parentheses first

30 - 2(9) -1

Then multiply and divide

30 - 18 -1

Then add and subtract

12-1

11

Step-by-step explanation:

They are wrong, it's actually 19683 pennies.

Answers

Answer:

It is actaully 19683.0 lol

Step-by-step explanation:

Answer:

I thought it was 42069 i guess i was wrong

Step-by-step explanation:

Please ASAP thank you

Answers

Answer:

<5 ~= <1 - Corresponding Angles Theorem

<1 ~= <7 - Alternate Exterior Angles Theorem

<5~= <7 - Vertical Angles Theorem

line l || line m - Transitive Property

What number must be subtracted from both the numerator and the denominator of 5/3 to obtain a Fraction equal to 5/7 ?

Answers

Answer:

Step-by-step explanation:

Let the number = x

So we are trying to work out what number must be subtract from the numerator and denominator of 5/3 to equal 5/7.

You can write this as:

[tex]\frac{ 5-x}{3 - x} = \frac{5}{7}[/tex]

Then you want to get rid of the fractions so multiply both sides by 3-x

[tex]5 - x =[/tex] [tex]\frac{5 ( 3 - x)}{7}[/tex]

Then multiply both sides by 7

[tex]7( 5 - x) = 5 ( 3 - x)[/tex]

Multiply it out.

35 - 7x = 15 - 5x

Add 7x to both sides:

35 = 15 - 5x + 7x

35 = 15 + 2x

Subtract 15 from both sides

35 - 15 = 2x

20 = 2x

To find x, divide both sides by 2.

x = 10.

2HT Butter House Bakery is famous for its butterscotch treat bars. The bakers always make a regular batch and a smaller gluten-free batch. To make a regular batch, the bakers use 5 cups of butterscotch chips and 16 cups of regular flour. To make a gluten-free batch, they use 3 cups of butterscotch chips and 8 cups of gluten-free flour. Which batch has a stronger butterscotch flavor?

Answers

Answer:

The gluten-free has stronger flavor of butterscotch

Step-by-step explanation:

Given

Regular Batch:

5 cups of butterscotch chips and 16 cups of regular flour.

Gluten-free batch

3 cups of butterscotch chips and 8 cups of gluten-free flour.

Required

Which batch has stronger butterscotch flavor

First, we need to determine the percentage of butterscotch in both flavors by using:

[tex]\% = \frac{Butterscotch}{Total} * 100\%[/tex]

For Regular:

[tex]\%= \frac{5}{5 + 16} * 100\%[/tex]

[tex]\%= \frac{5}{21} * 100\%[/tex]

[tex]\%= \frac{500\%}{21}[/tex]

[tex]\%= 23.81\%[/tex]

For Gluten-free

[tex]\% = \frac{3}{3 + 8} * 100\%[/tex]

[tex]\% = \frac{3}{11} * 100\%[/tex]

[tex]\% = \frac{300\%}{11}[/tex]

[tex]\% = 27.27\%[/tex]

Comparing both,

We can see that the percentage of butterscotch in gluten free batches is greater than that of regular batches

Hence:

The gluten-free has stronger flavor of butterscotch

18 percent of 68 is what

Answers

18 percent of 68 is a decimal, 12.24. Hope this helps.

EVALUATE USING ALGEBRIC IDENTITES
1204²

Answers

Answer:

1449616

Step-by-step explanation:

What is the y-intercept of 3x+5y=−30 ?

(0,−6)

(−6,0)

(10,−6)

(0,10)

Answers

Answer: (0,-6)

Step-by-step explanation:

To find the y-intercept, we can rewrite the equation into slope-intercept form.

3x+5y=-30            [subtract both sides by 3x]

5y=-3x-30             [divide both sides by 5]

y=-3/5x-6

Now that the equation is in slope-interceot form, we know that the y-intercept is -6, we know that the answer is (0,-6).

Solve for A, w = 7a + 4b

Answers

Answer:

a= 7w-28b

Step-by-step explanation:

w= 7a +4b

           -4b

w-4b =7a

w/7 - 4b/7 =7a/7

a= w/7 -4b/7

a= 7w-28b

Willy's candy shop selld special bags of candy. Amy bought 5 bags and found she had 60 pieces of candy. Mia bought 10 bags and found she had 130 pieces of candy. How many pieces of candy are there per bag?

Answers

Answer:

There are 12 pieces of candy in Willy's bags and 13 pieces of candy in Mia's bags.

Step-by-step explanation:

Draw it out.

Which distribution is less variable? How do you
know?
This is on my test and I’m pretty stuck on how to answer, thank you for answering if you did:)

Answers

the answer of this question will be 90 because that is the lowest on the chart

Write the equation of the line that passes through point (-4, 3) and has a
slope of 5.

Answers

Answer:

T

Step-by-step explanation:

It costs 24 bollars for 16 tickets.
What is the price of one ticket?

Answers

Answer:

1.5 dollars

Step-by-step explanation:

24/16=1.5

Answer:

if 16 tickets cost 24 dollars how about one

if 16tkts = 24 dollars

how about 1 tkt = ?

1×24=24

24÷16 = 1.5 dollars or you round off to the nearest 5 cents Making the answer to be 2 Dollars per ticket

When converting a mixed number to improper you add a nominator and or number then multiply the sum with the numerator true or false

Answers

Answer:

the answer is false. you first multiply the number by the numerator then add it to the denominator

Which point-slope equation represents a line that passes through (3, –2) with a slope of negative StartFraction 4 Over 5 EndFraction?

Answers

Answer:

The equation is y = (-4/5)x + 2/5.

Step-by-step explanation:

In a slope form equation, y = mx + b where m represents gradient/slope and b is the y-intercept. Given that the slope is -4/5 so you have to find the value of b by substituing the coordinates into the equation :

[tex]y = - \frac{4}{5} x + b[/tex]

[tex]let \: x = 3,y = - 2[/tex]

[tex] - 2 = - \frac{ 4}{5} ( 3) + b[/tex]

[tex] - 2 = - \frac{12}{5} + b[/tex]

[tex]b = - 2 + \frac{12}{5} [/tex]

[tex]b = \frac{2}{5} [/tex]

[tex]y = - \frac{4}{5} x + \frac{2}{5} [/tex]

Jo is going on an 8-day activity holiday. Each day she can choose one of the water sports: kayaking or sailing, or land-based sports. She never does different water sports on consecutive days. She also wants to try all three options on at least one day of her holiday. How many different schedules are possible?

Answers

Answer:

6 ways

Step-by-step explanation:

Given

Number of Sports: 3

Required

Determine the total number of schedules

Since, there are 3 sports and the schedule is in no particular order.

The number of schedules is calculated as thus:

[tex]Number = n!\ ways[/tex]

Where:

[tex]n = 3[/tex]

So, we have:

[tex]Number = 3 * 2 * 1\ ways[/tex]

[tex]Number = 6\ ways[/tex]

Answer:

882

Step-by-step explanation:

Used excel sheet. drag numbers 0 to 65535. next row, create the base3 number of first column, select all 8 digit numbers, will be 6561. eliminate numbers with no 1 or 2 or 3. eliminate numbers with 23, 32, keeping 1 as kand, 2 as kayaking, 3 as surfing..result will be 882

Complete the following two-column proof that proves the Congruent Supplements Theorem. HELP ME ASAPPPP BRO PLEASE DUED BY TONIGHT. but I missed class or school today so i honestly have no idea what it is. SO PLEASE ANYONE OUT THERE HELP A GIRL OUT FR FR.

Answers

Supplementary angles are angles that sum up to 180 degrees

Step 1:

If m<x and m<y are supplementary, hence;

m<x + m<y = 180 ....................1

Step 2:

If m<y is a supplement to m<z, hence:

m<y + m<z = 180 ...........................2

Equating 1 and 2

m<x + m<y  = m<y + m<z

Subtract m<y from both sides

m<x + m<y-m<y  = m<y + m<z - m<y

m<x = m<z

This proves the statement m<x = m<z

Learn more here: https://brainly.com/question/12919120

Complete the synthetic division problem below. -31 2 - 2 3 What is the quotient in polynomial form?​

Answers

Answer:

the answer is // x^2 - x +1 (apex)

Step-by-step explanation:

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