Gaming systems are on sale for 20% off the original price (g), which can be expressed with the function p(g) = 0. 8g. Local taxes are an additional 12% of the discounted price (p), which can be expressed with the function c(p) = 1. 12p. Using this information, which of the following represents the final price of a gaming system, with the discount and taxes applied? g[c(p)] = 0. 896g c[p(g)] = 0. 896g g[c(p)] = 1. 92p c[p(g)] = 1. 92p.

Answers

Answer 1

Final price of gaming system, with the discount 20% and taxes 12% applied is represented by composite function as,

[tex]c[p(g)] =0.896p \\[/tex]

What is composite function?

Composite function is the function in which the one function is dependent on the other function. The one function is written inside the other function to show the such relationship between the two function.

Given information-

The sale on the gaming system are of 20 percent.

The total local tax on the discounted price is 12%.

The function which expressed the sale on gaming system is,

[tex]p(g) = 0. 8g[/tex]

The function which expressed the tax on discounted price is,

[tex]c(p) = 1. 12p.[/tex]

The sale on the gaming system are of 20 percent and The function which expressed the sale on gaming system is,

[tex]p(g) = 0. 8g[/tex]

Now the local tax is applied on the discounted price after the 20 percent sell. Thus the function of discounted price will be a written inside the function of local tax as,

[tex]c[p(g)] =1.12p(0.8) \\c[p(g)] =0.896p \\[/tex]

The above function is the required function, which tales the final price of the gaming system is 0.896 times the original price.

The final price of gaming system, with the discount 20% and taxes 12% applied is represented by composite function as,

[tex]c[p(g)] =0.896p \\[/tex]

Learn more about the composite function here;

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Related Questions

Find the area of a circle with radius,
r
= 6.82m.
Give your answer rounded to 2 DP.

Answers

Answer:

42.8

Step-by-step explanation:

Type the integer that makes the following addition sentence true:

Answers

Answer:

  93

Step-by-step explanation:

Add 36 to both sides of the equation:

  36 -36 + ___ = 36 +57

  0 + ___ = 93

  ___ = 93

The integer 93 goes in the blank.

Find the domain of the graphed function.

Answers

Answer:

the domingo of a grapa consiste of all the input vales show on the x-axis the rango is the set of posible output vales which are show on the y-axis

Write in slope intercept form. 2x + y = 2

Answers

Answer:

y= -2x+2

Step-by-step explanation:

Slope intercept form is y=mx+b.

To write this equation in slope-intercept form, we must isolate y.

2x+y=2

Subtract 2x from both sides

y= -2x+2

The mean of five numbers is 16.
When two extra numbers are included the mean of the seven numbers is 20.
Find the mean of the two extra numbers

Answers

Answer:

30

Step-by-step explanation:

Since we have five numbers and their mean is 16 as we all know that  

mean = summation of total numbers / summation of  total number of terms

Mean = 16 for 5 numbers

sum =  16 x 5 = 80( sum of the  five terms)

when two extra numbers are added, it then becomes 7 numbers . since the numbers are unknown we then represent each numbers with the X and Y

New sum = 80 + x + y

new number of terms = 7

new mean = 20

20 =  80 + x + y

             7                    we cross multiply to get the unknown values

20 x 7  =  80 +  x + y    ,   140  = 80 + x + y

we use y as subject of the formula to get x

140 - 80 + x =  y

60 +  x = y,   y = 60 + x

we input y = 60 + x into the equation (140= 80 + x + y) to get x

140 = 80 + x  + 60 + x    ,        140 = 80 + 60 + x  + x

140  =  140 + 2x   ,         140 -140  = 2x

0 = 2x   ,  divide both sides by 2 to get x

x = 0

we then input x = 0 into the equation to get y

140 - 80 + x = y

140 - 80 + 0 = y   ,      60 + 0 = y

y  =  60

To find the mean of the two extra numbers,  we then use the above formula for finding mean.

60 + 0 / 2   =  60 / 2 =30

mean = 30.

Please help me on the math work

Answers

Answer:  x = -20

Step-by-step explanation:

What is half of 1 1/2 teaspoons

Answers

Answer:

The half of 1 1/2 tps would be 3/4 tsp.

Step-by-step explanation:

Hope This Helps

Have a Great Day

Answer:

3/4 tsp

Step-by-step explanation:

give guy above brainliest ig lolz

What are the slope and the y-intercept of the linear function that is represented by the graph?

Answers

Answer:

An example would be... slope intercept form is y=mx+b m being the slope b equal the y-intercept. so an equation would be y=3x+7 3 is the slope and 7 in the y-intercept. I am giving you this way because i do not know what points the graph are going through. And do not know what the graph looks like.

5. The two numbers rolled can be added to get a sum. Find P(sum is even). (1 point)
1/4
15/36
1/2
3/4​

Answers

I don’t get it either but I’m thinking it’s 1/4

Mrs. Sheldon has the desks
in her room in a square
formation with the same
number of desks in each row.
If there are a total of 25 desks
in her room, how many desks
are there in the first two
rows?

Answers

Answer:

16, 21

Step-by-step explanation:

The answer is 16, 21

Vote and like this have a great day ?

Surface area help I am struggling

Answers

Answer:

Total Surface Area: 65.97 cm²

Lateral Surface Area: 37.70 cm²

Step-by-step explanation:

You can solve for the surface area without the height or you can solve for the height and then find the surface are, either way is easy.

Lets first solve without the height. We will solve the surface area with the radius and slant height.

Total Surface area of cone formula: πr (r + s)

Curved surface are formula: πrs

Substitute the values in the picture with the formula

Slant height: 4

Radius: 3

πr (r + s)

π(3)(3 + 4)

(3.141593)(3)(3 + 4)

=9.424778(3 + 4)

=(9.424778)(7)

=65.973446

65.973446 rounded to the nearest hundredth is 65.97
TSA = Total Surface Area

TSA = 65.97 cm²

Now to find the curved surface area or some people call it the Lateral Surface Area

Formula: πrs

Radius: 3

Slant Height: 4

π(3)(4)

(3.141593)(3)(4)

=(9.424778)(4)

=37.699112

37.699112 to the nearest hundredth is 37.70

CSA = Curved Surface Area

CSA = 37.70 cm²

If you choose to compute the height (h) the you have to know both the radius (r) and the slant height (s):

Formula: height (h) = √s² - r²

Slant height = s = 4

Radius = r = 3

Height = h = ?

Now substitute the values into the formula

h = √s² - r²

h = √4² - 3²

h = √16 - 9

h = √7

h = 2.64575131

Height: 2.64575131 cm

Now it's time to find the surface area and curved surface area, now that you have the height:

Surface area formula given height and radius: πr(r + √(r² + h²))

Substitute the values

Height: 2.64575131
Radius: 3

πr(r + √(r² + h²))

π(3)(3 + √(3² + 2.64575131²))

TSA = (3.141593)(3)(3 + √(3² + 2.64575131²)

TSA = 9.424778(3 + √(3² + 2.64575131²)

TSA = 9.424778(3 + √(9 + 7)

TSA = 9.424778(3 + √(16)

TSA = 9.424778(3 + 4)

TSA = 9.424778(7)

TSA = 65.973446

TSA = 65.97

Next, time to find the Curved surface area:

Formula: CSA = πr√(r² + h²)

CSA = πr√(r² + h²)

Substitute the values into the formula

Radius: 3

Height: 2.64575131

Slant Height: 4

CSA  = πr√(r² + h²)

CSA = π(3)√(3² + 2.64575131²)

CSA = 9.424778√(3² + 2.64575131²)

CSA = 9.424778√(9 + 7)

CSA = 9.424778√(16)

CSA = 9.424778(4)

CSA = 37.699112

CSA = 37.70

So, we can conclude that the Total Surface Area is 65.97 and the Lateral Surface Area is 37.70.

Calculate the expected Gain of Loss of stock ABC.
Please help if you can!

Answers

Answer: $11 gain

==================================================

Explanation:

Focus on the first row only. We won't worry about the other stocks.

Convert each of the percentages to decimal form

40% = 0.4015% = 0.1545% = 0.45

Then multiply those decimal values with their respective gains or losses.

Use a negative sign to indicate losses.

0.40*(-25) = -100.15*5 = 0.750.45*45 = 20.25

The last step is to add up each of the results to get the expected value.

-10+0.75+20.25 = 11

The result is positive, so it's a gain rather than a loss.

On average, we expect an $11 gain for stock ABC.

----------

Side note: Thank you for making the screenshot much more clear.

Answer:

$11 gain

Step-by-step explanation:

Liz has turtles that triple every month. and Steven has turtles that double every month. If Liz has 7 turtles at the same time that Steven has 5 turtles. then in how many turtles after 6 months do they have in total?

Answers

The number of turtles they will have after 6 months is =1,893 turtles

Calculation of total turtle

Number of turtles owned by Liz every month =

first month = 7

second month= 7×3 = 21

third month = 21× 3 = 63

fourth month = 63 × 3 = 189

Fifth month = 189 × 3 = 567

Sixth month = 567 × 3 = 1701 turtles

Number of turtles owned by Steven every month =

first month = 6

second month = 6 × 2 = 12

third month = 12× 2 = 24

Fourth month = 24 × 2 = 48

Fifth month = 48 × 2 = 96

Sixth month = 192 turtles

Therefore total turtle owned by both Liz and Steven=

1701 + 192 = 1,893 turtles

Learn more about addition here:

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Amount of Sleep
10
9
8
Frequency
2
0-3
4-7
8-11
12-15
Time (hours)
What percentage of Mr. Hamilton's students slept 3 hours or less?
%

Answers

Answer:

I guess 3 hours is the answer.

Tips

Answer:

3 hours

Step-by-step explanation:

3 hours is the answer

Pleaseeeee hellppppdosbshsb I NEED TO KNOW!!!

Answers

Answer:  [tex]y = 3\sin\left(\frac{x}{3}\right)\right)+2\\\\[/tex]

This is the same as writing y = 3sin(x/3) + 2

=====================================================

Explanation:

The template for a sine function is

[tex]y = A\sin\left(B\left(x-C\right)\right)+D\\\\[/tex]

where,

A = deals with the amplitudeB = deals with the periodC = phase shiftD = midline

---------------

The highest point is at y = 5 and lowest is at y = -1. This is a gap of 6 units, which cuts in half to 3. The amplitude is 3 meaning that A = 3.

---------------

One peak or highest point occurs when x = 3pi/2

The next peak over is at x = 15pi/2

This is a gap of (15pi/2) - (3pi/2) = 12pi/2 = 6pi units

The period is T = 6pi which leads to B = 2pi/T = 2pi/6pi = 1/3

In short, B = 1/3

---------------

We don't have to worry about the phase shift, so C = 0.

---------------

The midline is the average of the highest and lowest y values.

D = (5+(-1))/2 = 4/2 = 2

This means D = 2.

---------------

In the previous sections, we found the following

A = 3B = 1/3C = 0D = 2

This means we go from

[tex]y = A\sin\left(B\left(x-C\right)\right)+D\\\\[/tex]

to

[tex]y = 3\sin\left(\frac{1}{3}\left(x-0\right)\right)+2\\\\y = 3\sin\left(\frac{x}{3}\right)\right)+2\\\\[/tex]

which is the final answer.

---------------

Extra info:

If you wanted, you could use a cosine function. This is because any cosine function is a phase shift of a sine function. But that greatly complicates things and sine is better suited here.

The simple interest on an investment of $7540 over 8 years is $1749.28.
If the annual interest rate is R, find R as a percentage to the nearest one decimal place.
Enter each line of working as an equation.

Answers

Answer:

41.38%

Step-by-step explanation:

A= P(1+in)

7540 = 1749.28 + 13994.25i

5790.72= 13994.25i

i=0.41379×100

i=41. 38%

I need help on number 10 and 9

Answers

Answer: 1. 55 ft   2. 10 ft. 3.3 in.

Step-by-step explanation:

For question 9, you need to understand that the angle on the left is equal to the one on the right from the mirror priniciple. Now let's say the height of the dinosaur is x ft. We would get the equation 5.5/4 = x/40 and we get that x is 55, thus the height of the dinosaur is 55 ft

For question 10, we use the same similarity principle as we use in question 9 so given that the height of the light pole is h in. we get the equation

h/185 = 62/93

So, h is 123.33(I used a calculator, hope that's fine). Thus the height of the light pole would be 123.33 in. or 10 ft. 3.3 in.

Hope this helps!!!!

the length of the diagonal of a square is 15 square root of 2 what is the perimeter

Answers

Solution:

Given:

Diagonal of square: 15√2Perimeter of square: 4s

Solving using Pythagoras theorem~

(15√2)² = s² + s²=> 225 x 2 = 2s² => 225 = s² => s = 15 units

Now, solve for perimeter by substituting into the term '4s'.

4(15)=> 60 units

Hence, the perimeter of the square is 60 units.

Whats 29x 7.4 show work

Answers

Answer:

214.6

Step-by-step explanation:

First, split 7.4 into number, this makes it easier later.

29*7=203

0.4*29=11.6

Next add them up for your total.

203+11.6=214.6

Answer:

214.6

Step-by-step explanation:

29x7.4=214.6

A store sells 24 greeting cards for $12.


Select the three unit rates that describe this sale.





A 2 cards per dollar



B $0.50 per card



C 10 cards per $5


D $6 per dozen cards
WICH IS CORRECT

Answers

Answer:

D

Step-by-step explanation:

SOO SORRY I EDITED THIS BC A WAS WRONG I MISREAD

if 24 cards = $12, 1 card = $2 (24 / 12)

dozen = 12

if half of 24 is 12, and 24 cards cost $12, half of 12 is 6. same goes for the price. $12 / 2 = 6.

If anyone can answer this question i would greatly appreciate it!! <3

An apartment rents for $665/month. To start renting, you need the first and last
month's rent, and a $650 security deposit. You also have upfront costs of $126 for
a year of tenant insurance, $95 hookup fee for phone and internet, and $80 TV
hookup fee. What is the total amount you need to begin renting the apartment?

Answers

You have to make a sum of all the numbers

$665 first month
$665 last month
$650 security dep
$126 tenant insurance
$95 phone and internet
$80 tv
______
$2281

You need $2281 to rent the appointment

The total amount need to begin renting the apartment is $2281.

What is rent?

An agreement where a fee is paid for the temporary use of a good, service, or property owned by another is known as renting, sometimes known as hiring, or letting.

We have,

An apartment rents for $665/month.

$95 hookup fee for phone and internet, and $80 TV hookup fee.

So, the total amount

= 665 + 665 + 650 + 126 + 95 + 80

= $2281

Thus, the total amount for rent is $2281.

Learn more about Rent problem here:

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#SPJ2

Type the integer that makes the following subtraction sentence true:
_____ − –99 = 3

Answers

Your answer should be 102

Answer:

-96

Step-by-step explanation:

when there are two subtraction signs it is basically a plus sign

so

___ + 99 = 3

then you can subtract 99 from both sides

___ = -96

your answer is -96

Find the measures of the numbered angles in the rhombus.

Answers

Answer:

Step-by-step explanation:

Angle 1 is 90 - 34 = 46 deg.

angle 2 is 90 deg.

angle 3 is 34 deg.

angle 4 is also 46 deg.

Analyze the following budget, with an income of $750, to determine how much can be spent on food for the month. Month________ Budgeted Amount Food $___ Personal Items $20 Cell Phone $75 Entertainment $85 Car Expenses – Gas, Insurance $260 College Savings $250 a. No more than $70 can be spent on food. B. No more than $75 can be spent on food. C. No more than $80 can be spent on food. D. No more than $60 can be spent on food. Please select the best answer from the choices provided A B C D.

Answers

The phrase "no more than" implies upper limit. The correct choice for food budget is: Option D. No more than $60 can be spent on food.

How to find the remaining amount after deduction?

Suppose that you had initial amount as A.

Let you deduce B, C, and D from it.

The remaining amount is obtained by subtraction.

Thus,

Remaining amount  = A - (B + C + D) = A - B - C - D

For the given case, the budget left for food is the remaining amount after all the expenses are reduced from the income.

Income = $750

Expenses except food: $20 + $75 + $85 + $260 + $250 = $690

Thus, budget left is $750 - $690 = $60

This remaining budget is left. The person can spent either full of it on food or less than it, but cannot spend more than it as that person doesn't have more than $60 left.

Thus:

Food budget is no more than $60.

or

Food budget ≤ $60

Thus,

The correct choice for food budget is: Option D. No more than $60 can be spent on food.

Learn more about inequality here:

https://brainly.com/question/11901702

Please help me on this question i would appreciate it

Answers

Answer: x = 120 y = 25 z = 35

Step-by-step explanation:

z = 35 because of the Z rule

y = 25 because y + 35 = 60

x = 120 because of the C rule

Sorry if you don't understand, I don't know how to explain the reason to the answers

X=120 y=25 z=35 hope it helps

If you made 30$ every 5 minutes, how much would you have in 10 hours?

Answers

The correct answer is 3600
The answer: $3,600
as how 5 minutes = $30 so 5x 12 to represent 1 hour so 12x 30 for $360 then 360 x 10 for the ten hours

What type of angle is angle M?
L
M
P
O A. acute
B. straight
C. obtuse
D. right

Answers

Answer:

Although it would be great to see the picture of your problem, Acute angles are usually smaller than a right angle. A right angle is half of a straight line. A straight line is exactly how it sounds. An obsute angle is bigger than a right angle, so it has a higher degree.

Pls help I don’t understand

Answers

It appears the graph goes through (0,3) and (5,6)

If so, then you have the correct slope and y intercept.

The formula is [tex]C = \frac{3}{5}n+3[/tex] which is the same as writing C = (3/5)n+3

Don't forget about the parenthesis around the 3/5.

We can verify this by plugging in n = 0 and you should get C = 3.

Also, if n = 5 then it leads to C = 6.

The orchard's owner plots the table's data on the coordinate plane. Which other coordinate pair is appropriate for the situation to plot on the same plane? A) (40, 60) B) (125, 50) C) (100, 60) D) (70, 140)

Answers

Answer: B:2.5

Step-by-step explanation: divide the two numbers to find the answers

Answer:

B is the answer 125,50

Step-by-step explanation:

Please mark brainlyist

on a road map 1 inch represents 25 miles. how many miles would 2.5 inches represent ? explain in one sentence

Answers

Answer:

25 miles * 1 inch = 25 miles; 25 miles * 2.5 inch = 62.5 miles

Step-by-step explanation:

Hope this helps!!

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