Tablets are on sale for 15% off the original price (t), which can be expressed with the function p(t) = 0. 85t. Local taxes are an additional 8% of the discounted price (p), which can be expressed with the function c(p) = 1. 08p. Using this information, which of the following represents the final price of a tablet, with the discount and taxes applied, based on its original price? c[p(t)] = 0. 918t t[c(p)] = 0. 918t c[p(t)] = 1. 93p t[c(p)] = 1. 93p.

Answers

Answer 1

Taxation is done on the discounted price. The equation representing the final price of a tablet for this condition is : Option A: c[p(t)] = 0. 918t

What are composite functions?

Functions which are formed by composing two or more functions in a way that one's input is another's output unless its the last and first function is called composite functions.

For given case, it is given that

Discounted price for original 't' price of a tablet is

[tex]p(t) = 0.85t[/tex]

This discounted price is then passed as input to the tax calculating function as taxation is specified to be done on the discounted price and not on the original price.

The total cost calculating function is [tex]c(p) = 1. 08p[/tex]

Thus, for original price t, the total cost is given as:

[tex]c(p(t)) = 1.08(p(t)) = 1.08 \times 0.85t = 0.918t[/tex]

We composed the two available function to get the direct final cost from value of t.

Thus,

The equation representing the final price of a tablet for this condition is Option A: c[p(t)] = 0. 918t

Learn more about composite functions here:
https://brainly.com/question/24780056


Related Questions

What are 3 possible solutions for the inequality?​

Answers

Number one gravity number 27 and one shampoo number three the laws of physics

Fill in the missing number. % of 96 = 24 Submit​

Answers

Answer:

[tex]25[/tex]% of 96 = 24

Step-by-step explanation:

?% of 96 = 24

[tex]\frac{x}{100} =\frac{24}{96}[/tex]

[tex]x =\frac{24*100}{96}[/tex]

[tex]x = 25[/tex]%

The x coordinate is zero and
the y coordinate is positive so what quadrant are they located in

Answers

you have to give us more context so that we can answer this

Answer:

If the x-coordinate is (0,0) and the y-coordinate is positive, it is not technically in any quadrant because it is located on the line and not in any quadrant.

Step-by-step explanation:

ok so i have three questions 1. 4 – 3/7 = _______
2. 3/4 + 5/8 = _______
and 3. 1 – 4/5 = _______

Answers

Change the Numbers to desired shape

4-3/7=
4*7/7-3/7=
28/7-3/7=25/7

Answer will be 3 4/7 or 25/7

Double the first one
3/4+5/8=
6/8+5/8=11/8

Answer will be 1 3/8 or 11/8

Same as the first

1-4/5=
1*5/5-4/5=
5/5-4/5=1/5

I need help with this equation please: 24c+36d+18:
Thank you!

Answers

6(4c+6d+3)
Hope it help

Answer

[tex] \: \: [/tex]

[tex] \sf \large \red{ ↬}24c + 36d + 18[/tex]

[tex] \: \: [/tex]

[tex] \boxed{ \sf \large \red{ ↬}6(4c + 6d + 3)}[/tex]

[tex] \: \: [/tex]

Hope Helps!

A square has side length 2x+5 . Find its area.

Answers

Answer: 4x^2 + 20x + 25

Step-by-step explanation:

(2x + 5)^2 = 4x^2 + 20x + 25


i need answers quick thanks

Answers

B :) open circle means inequality and it needs to be at least 3 so the line has to increase, meaning the arrow is going right.

Discuss the income effect for normal and inferior goods​

Answers

Answer:

➢ The income effect describes the relationship between an increase in real income and demand for a good. The result of the income effect for a normal good is discernible to that of an inferior good in that a positive income change causes a consumer to buy more of a normal good, but less of an inferior good.

[tex]Into \: your Arms[/tex]

#CarryOnLearning

3x - 2y =6

if x is equal to -1; 0; 1​

Answers

Step-by-step explanation:

if X=-1

3(-1) - 2y =6

-3 - 2y =6

-2y=6+3

-2y =9

y=

[tex] \frac{9}{ - 2} [/tex]

y=

[tex] - 4 \frac{1}{2} [/tex]

If X=0

3(0)-2y=6

0-2y=6

-2y=6+0

-2y=6

y=

[tex] \frac{6}{ - 2} = - 3[/tex]

y= -3

if X=1

3(1)-2y=6

3-2y=6

-2y=6-3

-2y=3

y

[tex] \frac{3}{ - 2} = - 1 \frac{1}{ 2} [/tex]

Factor 10w^2-31w+15
I'm really stumped lol

Answers

Answer:

[tex]10 {w}^{2} - 31w + 15 \\ \\ 10 {w}^{2} - 6w - 25w + 15 \\ \\ 2w(5w - 3) - 5(5w - 3) \\ \\ (2w - 5)(5w - 3)[/tex]

# be careful #

Urgent and pls explain thoroughly. O is the centre of the circle. OA, OB and OC are radii. Angle AOB = 72°.
Work out
a) angle OAB b) angle OCB c) angle ABC​

Answers

Answer:

<ABC=90° <OCB=36° <OAB=54°

Step-by-step explanation:

<ABC=90°

<ocb= half of aob

<oab + <abc+<ocb=180°(triangle abc)

Answer:

a) ∠OAB = 54°

b) ∠OCB = 36°

c) ∠ABC = 90°

Step-by-step explanation:

a)

If O is the center of the circle, then OA and OB are both the radius.  Therefore, OA = OB

This means that ΔAOB is an isosceles triangle, as is has two sides of equal length (OA and OB).  

The angle between the equal sides (∠AOB) is called the vertex angle.  The side opposite the vertex angle (AB) is called the base and base angles are equal. Therefore, ∠OAB = ∠OBA

Given:

The sum of the interior angles of a triangle is 180°∠AOB = 72°∠OAB = ∠OBA

⇒ ∠OAB + ∠OBA + ∠AOB = 180

⇒ ∠OAB + ∠OBA + 72 = 180

⇒ ∠OAB + ∠OBA = 108

⇒ ∠OAB = 108 ÷ 2 = 54°

b)

Again, we can see that OB and OC are both the radius, so OB = OC.  This means that ΔBOC is also an isosceles triangle, with ∠BOC as the vertex and BC as the base.

Calculate ∠BOC:

Given:

Angles on a straight line add up to 180°∠AOB = 72°

⇒ ∠AOB + ∠BOC = 180

⇒  72 + ∠BOC = 180

⇒ ∠BOC = 108°

Calculate ∠OCB:

Given:

The sum of the interior angles of a triangle is 180°∠BOC = 108°∠OBC = ∠OCB

⇒ ∠OBC + ∠OCB + ∠BOC  = 180

⇒ ∠OBC + ∠OCB + 108  = 180

⇒ ∠OBC + ∠OCB  = 72

⇒ ∠OCB  = 72 ÷ 2 = 36°

c)

Thales's theorem is a special case of the inscribed angle theorem and states that:

If A, B, and C are distinct points on a circle where the line AC is a diameter, then ∠ABC is a right angle.

Given that AC is the diameter of this circle, and points A, B and C are on the circle, then ∠ABC = 90°

Solve for x. 4x + 3 = 35 Enter your answer in the box.

Answers

Answer:

x = 8

Step-by-step explanation:

4x + 3 = 35

subtract 3 from each side

4x = 32

divide 4 from each side

x = 8

Describing a System of Equations
Describe a system of linear equations that has no solution.

Answers

Answer:

If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

Answer:

Sample Response/Explanation: A system consisting of lines that do not intersect will have no solution. Lines will not intersect if they have the same slope, but different y-intercepts. Parallel lines have the same slope, which means they will never intersect.

Step-by-step explanation:

how to do subtracting unlike fractions easily? ​

Answers

Find the least common multiple of the denominators of the fractions. Write equivalent fractions that have the least common multiple as the denominator.

Please answer this (who ever answers correctly gets brainlest)

Answers

Answer:

0.171 m

Step-by-step explanation:

First, let's determine how many mm of track he has in total...

74mm+97mm=171 mm

Now, we can set up a unit converter to convert mm to m (note that 1 mm is [tex]10^{-3{[/tex] m)...

[tex]171mm(\frac{10^{-3}m}{1mm})[/tex]

The "mm" cancels out...

[tex]171*10^{-3}m=0.171m[/tex]

Answer:

Step-by-step explanation:

74 +  97 = 171 mm

Length of the train track = 171 mm = 171÷ 1000 = 0.171 m

I NEED HELP ASAP PLEASE
The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?

A. Yes, because 9*2 + 12*2 = 15*2
B. No, because 9*2 + 12*2 ≠ 15*2
C. No, because 9+ 12 ≠ 15.
D. Yes, because 9*2 + 12*2 > 15*2

Answers

A is the right answer for this question

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!

Answers

72. im pretty sure lol, since 180-108 is 72, and they’re complementary angles, i think, not completely sure

Given, m<7 = 108°

To find, m<3

Since both the given angles are on the same side of transversal, thus there sum is 180°

Thus, m<7 + m<3 = 180°

108° + m<3 = 180°

m<3 = 180° - 108°

m<3 = 72°

Hope this helps :)

7a + 3 ( a - 4) please help!!

Answers

Step-by-step explanation:

7a+3a-4

=10a-4

Hope this can help you

Answer:

2(5a-6)

Step-by-step explanation:

[tex]=7a+3(a-4)\\\\=7a+3a-12\\\\=10a-12\\\\=2(5a-6)[/tex]

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS ILL GIVE BRAINLKEST

Answers

Answer:

D. 14

Step-by-step explanation:

These triangles are something called a scale factor. A scale factor means when you multiply any side by that factor, you get the side of the other triangle. It is an exact copy of the triangle from before, just bigger or smaller, also known as set to scale. Here we can do 7/6 to find the scale factor (which is 1.16666666667), and multiply that factor by 12 to get 14.

Height:?
6 cm
1. The diameter of the cylinder is 6cm
as shown above. What is the height of
the cylinder if the volume is 282.6 cu.
cm. Show your work.

Answers

Answer:

h = 22.5

Step-by-step explanation:

Volume Cylinder = πr²h

Radius = diameter/2

radius = 3

Solve:

282.6 = π(2)^2(h)282.6 = 3.14 * 4 * h90 = 4h22.5 = h

-Chetan K

Which numbers are less than 538? Select three options.


three hundred twenty-two
four hundred seventy-nine
five hundred thirty
five hundred forty
five hundred sixty-four
six hundred fifty-three

Answers

so the first one is:
322
second one:
479
third one:
530

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS

Answers

Answer:

I believe your answer is 9

Step-by-step explanation:

The way I found this answer was by assuming that triangle CDE was expanded to get triangle FGH. So I divided 18/4 and got the answer 4.5, which means that the triangle was expanded by a factor of 4.5. So I then multiplied the similar side to HG by 4.5 which was side ED. This got me with 4.5 x 2 and I got the answer 9.

Hope this helps! :)

PLEASE ANSWER ASAP

Which THREE expressions are equivalent to: (x + 6) + (x + 6) + (x + 6) + (x + 6) O 4(x + 6) 0 2 (x + 12) 2 + 12 + 22 12 3a + 6 + 1 = 6 тиб 42 = 24

Answers

Organizing the problem:

Which THREE expressions are equivalent to:

(x + 6) + (x + 6) + (x + 6) + (x + 6)

O 4(x + 6)

0 2 (x + 12)

2 + 12 + 22

12 3a + 6 + 1 = 6

тиб 42 = 24

Out of these selections, i can only tell that number one is correct, number two isn't, and i can't tell for the rest. Please organize the question more clearly.

--Hunter

what is the cubed root of 27?​

Answers

Answer:

Cube root of 27 in radical form: ∛27???

Step-by-step explanation:

hope this helps

Some of the steps in Raya's solutions are shown.

Answers

Answer:

2. Distributive Property

4. Division Property of Equality

Step-by-step explanation:

2. The reason is Distributive Property since Raya distributed 2.5 to each term in the parentheses:

2.5(6.25x)+2.5(0.5)=11 --> 15.625x+1.25=11

4. The reason is Division Property of Equality since Raya divided both sides by 15.625.

A more in depth version of 3-4:

15.625x+1.25-1.25=11-1.25

               15.625x=9.75

Divide both sides by 15.625 (division property of equality since she is dividing the same number from both sides of the equation)

                           x=0.624

( i ready ) i want to double check my answer

Answers

Answer:

Step-by-step explanation:

yeah you got it

i need help pls im only a small 8th grader i need help. its due at midnight and its 11.35 rn please have mercy <33

Answers

[1] y = 2x

- the line goes through the origin (0, 0) so there will be no b value

- the line, starting from (0, 0) goes up two and to the right 1 into the next point giving us a slope of 2/1 which simplifies to 2

[2] (0, 5)

- we can figure this out without graphing or plugging in values because (0, y) will be the y-intercept, or the b value

- in this case the value is 5

[3] y = 3x + 12

- it uses a different term than I am used too, but by "graident" I think they mean the slope

- if it has the same slope, then it will be a slope of 3

- if it passes through (0, 12) then again, this is the y-intercept or our b-value

Have a nice day!

-> See attached for more information on b values

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

A trapeziod is always an example of

Answers

Answer:

quadrilateral

Step-by-step explanation:

You read a book for 35 minutes. Then you played 4 computer games. Each game took 8 minutes to play

Answers

Answer:

Total time: 67 minutes

Step-by-step explanation:

35m + 4(8m) = 67m

Answer:

READING TIME :- 35 MINUTES

GAME TIME. :- 32 MINUTES

HOPE IT HELPS U!!!!

5m+3(m-3)+7=2m-1
Solve for x

Answers

Answer:

=> 5m+3(m-3)+7=2m-1

=> 5m+3m-9+7 = 2m-1

=> 8m-2 = 2m-1

=> 8m-2m = -1+2

=> 6m = 1

=> m = 1/6

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