A plant nursery is having a sale. Potted begonias are marked down 27%, and tomato seedlings are marked down 35%. If you pay $6.57 each for two potted begonias and $2.60 each for three tomato seedlings, how much did you save?
a. $3.83
b. $5.31
c. $6.92
d. $9.06​

Answers

Answer 1

Answer:

D) $9.06

correct on edge :)

Answer 2

The total amount of money saved from purchasing the plants at a marked down price is  $9.06

How much was saved?

The first step is to determine the original price of one potted begonias: $6.57 / (1 - 0.27)  = $9

The first step is to determine the original price of one tomato seedling: $2.60 / ( 1 - 0.35)  = $4

The amount saved on potted begonias = ($9 - 6.57) x 2 = $4.86

The amount saved on tomato seedlings = (4 - 2.60) x 3 = $4.20

Total amount = $9.06

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Related Questions

Tim’s savings account pays a simple annual interest rate of 3.5%. Suppose he deposits $5,500 in the account and makes no additional deposits or withdrawals for 5 years. What will the total value of the account be after 5 years?

Answers

$6462.5

Simple Interest = (Principal × Rate × Time) / 100

SI = (P×R×T) / 100

P = 5500

R = 3.5

T = 5

[substitute the values into the formula]

SI = (5500 × 3.5 × 5) / 100

SI = 96250 / 100

SI = 962.5

Total = Principal + Simple Interest

T = P + SI

T = 5500 + 962.5

T = 6462.5

The total value of the account after 5 years will be $6462.5

After reviewing her driving record for the past 3 years, Cindy's insurance company offers her a good driver discount of 4.5%. Her original policy was based on the premiums listed below. What is her new annual premium including the discount? Cindy's Auto Insurance Policy Type of Insurance Coverage Coverage Limits Bodily Injury $50/100,000 Property Damage $25,000 Collision $500 deductible Comprehensive $100 deductible Annual Premiums $31.75 $120.50 $275.75 $100.00 a $504.24 b. $523.50 C. $528.00 d. $551.76​

Answers

Answer:

its A

Step-by-step explanation:

I just took the test on EDGE  

The new annual premium including the discount is $504.24.

Option A is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To calculate the new annual premium with the discount, we need to find the total premium and then subtract the discount.

The total premium is the sum of the individual premiums:

Total premium.

= $31.75 + $120.50 + $275.75 + $100.00

= $528.00

The discount is 4.5% of the total premium:

So,

Discount = 0.045 × $528.00 = $23.76

The new annual premium including the discount is:

New premium = Total Premium - Discount

= $528.00 - $23.76

= $504.24

Therefore,

The new annual premium including the discount is $504.24.

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real numbers are the set of numbers that includes all rational and irrational numbers

Answers

Answer:

it is absolutely correct

This circle graph shows how the students in two sixth-grade classes get to school. Fifty students were surveyed. What percent takes the bus? PLZ HELP will give points.

This circle graph shows how the students in two sixth-grade classes get to school. Fifty students were

Answers

Answer:

45

Step-by-step explanation:

Ethan buys a video game on sale. if the video game usually costs $39.99, and it was on sale for 20% off, how much did ethan pay? round to the nearest cent.

Answers

The required amount that Ethan have to pay is $32.

What is discount on sale?

A sales discount is a marked down cost presented by a business on an item or administration. Figure out how to remember limits for solicitations. A deals rebate, likewise usually known as only a 'markdown' furnishes clients of a business with a diminished rate on at least one of the items or administrations being advertised.

According to question:

We have,

Selling price = $39.99

Discount = 20%

20% of $39.99 = 20×$39.99/100

⇒ $7.99

So the payable amount for video game = $39.99 - $7.99

⇒ $32

Thus, required price is $32.

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how many positive integers of 3 digits may be made from the digit 1,2,3,4,5, each digit may be used just once

Answers

60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.

According to the question,

We have the following information:

3 digits integers are to be made from 1,2,3,4 and 5

So, we will use permutation to find the possible number of digits that can be made if we apply all the given conditions.

Now, we have:

Total number of digits = 5

Number of digits to be made = 3

So, we have:

\(^{5} P_{3}\)

Solving this expression:

5*4*3

60

Hence, 60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.

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A cyclist rides into the country at an average speed of 10 miles per hour. When his bike gets a flat tire, he walks it back at an average speed of 3 miles per hour. If he returns home 6 and a half hours after he starts, how far into the country does he go?

Answers

The distance the cyclist traveled into the country, given that he rides into the country at an average speed of 10 miles per hour is 15 miles

How do i determine the distance traveled?

Let the total distance traveled into the country be y.

Now, we shall determine the riding time. Details below:

Speed = 10 mile per hourDistance traveled = yRiding time = ?

Riding time = Distance / speed

Riding time = y / 10

Next, we shall obtain the walking time of the cyclist. This is shown below:

Speed = 3 mile per hourDistance traveled = yWalking time = ?

Walking time = Distance / speed

Riding time = y / 3

Finally, we shall obtain the total distance traveled. This is illustrated below:

Riding time = y / 10Riding time = y / 3Total time = 6.5 hoursTotal distance = y =?

Total time = riding time + walking time

6.5 = y/10 + y/3

6.5 = (3y + 10y) / 30

6.5 = 13y / 30

Cross multiply

13y = 6.5 × 30

13y = 195

Divide both sides by 13

y = 195 / 13

y = 15 miles

Thus, the total distance traveled by the cyclist into the country is 15 miles.

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pls someone help me quick i need to get this done quick

pls someone help me quick i need to get this done quick

Answers

Answer:

-13$

pls mark me as BRAINLIEST

9:45 on Tuesday Questions
Please Help Me Out! I am back with a handful of geometry questions. I would like you to answer this question and explain or show all of your work.
I will mark Brainlest for an accurate answer!
If the image is to blurry try clicking on it. If it is still to blurry, let me know in the comments. If you have any other questions about the problem, let me know.
Please only answer of you have a "real" answer and not a comment. Save your comments for the comment box!
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9:45 on Tuesday QuestionsPlease Help Me Out! I am back with a handful of geometry questions. I would

Answers

Answer:

Neither

Step-by-step explanation:

-12x + 3y = 3

y = 4x + 1

y = mx + b

The second equation given is set up in the correct form already (y = 4x + 1)

We have to convert the first equation into the same format

-12x + 3y = 3

Isolate the y

3y = 3 + 12x

Divide the 3 from the y and the other side

y = 1 + 4x

y = 4x + 1

This is the same as the first equation

They can only be parallel if their slope (m or 4 in this case) is the same and their y-intercepts (b or 1 in this case) are different. Since the equations are the exact same and do not fit the y-intercept criteria for parallel, they cannot be parallel. If they were perpendicular, their lines must cross. This means they have to contain reciprocals or opposite slopes. Our slope here for both of them is 4 or 4/1. Since neither are the opposite (which would be 1/4), it is not perpendicular. Therefore, the answer is neither

hii this is complete the shape will give brainliest

hii this is complete the shape will give brainliest

Answers

Answer:

d

Step-by-step explanation:

CAFDYahi Sahi answer hai bhai

the answer is cafd !!!!!!!!

Part A: Maci made $170 grooming dogs one day with her mobile dog grooming business. She charges $60 per appointment and earned $50 in tips. Write an equation to represent this situation.
Part B: Logan made a profit of $210.00 as a mobile groomer. He charged $75.00 per appointment and received $35.00 in tips, but also had to pay a rental fee for the truck at $10.00 per appointment. Write an equation to represent this situation.
Part C: Explain how the equations from Part A and Part B differ.

Answers

Part A: The equation to represent Maci's situation is: Total earnings = (Number of appointments * Appointment fee) + Tips = (x * 60) + 50.

Part B: The equation to represent Logan's situation is: Profit = (Number of appointments * (Appointment fee - Rental fee)) + Tips = (x * (75 - 10)) + 35.

Part A: In this scenario, Maci's earnings are calculated by multiplying the number of appointments (x) by the appointment fee ($60) and adding the tips ($50). The equation Total earnings = (x * 60) + 50 represents this situation, where x represents the number of appointments made.

Part B: In Logan's situation, his profit is calculated by multiplying the number of appointments (x) by the difference between the appointment fee and the rental fee ($75 - $10), and adding the tips ($35). The equation Profit = (x * (75 - 10)) + 35 represents this situation.

The equations from Part A and Part B differ in how they account for expenses. In Part A, Maci's equation only considers the appointment fee and tips, while in Part B, Logan's equation takes into account both the appointment fee and the rental fee.

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You roll a number cube one time.
What is the probability of not rolling a 8 or a 10?

You roll a number cube one time.What is the probability of not rolling a 8 or a 10?

Answers

Answer: 80% or 4/5

Step-by-step explanation:

so I don’t know how many numbers there are on this cube (a standard number cube has #1-6) but I’m going to go with 10 numbers (don’t know how this is possible but anyway-). I’ll edit my answer if needed.

10 numbers

10 (numbers) - 2 (#8 and #10) = 8 (possible numbers)

so 8/10 or 80%

reduced fraction: 4/5

percentage: 80%

fraction: 8/10

*will edit if needed

I really need help with this so if you can please help.

I really need help with this so if you can please help.

Answers

Answer:

I don't know if this is the correct answer but I tried:)

by the way what grade is this?

I really need help with this so if you can please help.

Use the distributive property to remove the parentheses
Simplify your answer as much as possible,
10(2/5-3x)

Answers

Answer:

4 - 30x

Step-by-step explanation:

10(2/5-3x)

(10 x 2/5) - (10 x 3x)

4 - 30x

Step-by-step explanation:

10 ×2/5 = 4

10 × -3x = - 30x

= 4 - 30x

7+2/5(5y−10)=4/5(y+5)+1/5y

Answers

7+2y-4=4/5y+4+1/5y
3+2y=y+4
y=1

A measurable quantity that is inherent in the problem is called a(n) B) uncontrollable variable. C) algorithm. E) enumeration variable. A) decision variable. D) parameter

Answers

The correct answer is D) parameter. A parameter is a measurable quantity that is inherent in the problem and is usually set by external factors. A measurable quantity that is inherent in the problem is called a D) parameter.

A parameter is a measurable and fixed value that characterizes a particular aspect of a problem, while a variable can change during the course of the problem-solving process. Decision variables are the unknowns that you need to find in order to optimize a problem, and uncontrollable variables are factors that cannot be controlled during an experiment or problem-solving process. An algorithm is a step-by-step procedure to solve a problem, and an enumeration variable is not a relevant term in this context. Parameters are used to define the boundaries of a problem and are often used in mathematical models to represent real-world situations. They differ from variables, which can change and are often used to represent unknowns in a problem, and from uncontrollable variables, which cannot be directly controlled or manipulated by the decision-maker.

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Ix runners are doing the 100 meter dash. the winner receives a blue ribbon and the second place runner gets a red ribbon. how many ways can the ribbons be awarded?

Answers

The number of ways the ribbons can be awarded in a race with "x" runners is x * (x-1).

The number of ways the ribbons can be awarded depends on the total number of runners participating in the 100-meter dash.

If there are "x" runners participating, the winner can be any one of the x runners, and the second-place runner can be any one of the remaining (x-1) runners.

Therefore, the number of ways the ribbons can be awarded is equal to the number of possible choices for the winner multiplied by the number of possible choices for the second-place runner.

Mathematically, this can be expressed as:

Number of Ways = x * (x-1)

For example, if there are 5 runners in the race, there are 5 ways to choose the winner. After selecting the winner, there are 4 remaining runners from which we can choose the second-place runner. So, in this case, the number of ways the ribbons can be awarded is:

Number of Ways = 5 * 4 = 20

In general, the number of ways the ribbons can be awarded in a race with "x" runners is x * (x-1).

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If the expression ___ is written in the form _____ then what is the product of a, b, and c?

If the expression ___ is written in the form _____ then what is the product of a, b, and c?

Answers

Answer:

\( \frac{ {x}^{ - 2} {y}^{ \frac{1}{2} } }{ \sqrt{36x {y}^{2} } } = \frac{ \sqrt{y} }{ {x}^{2} \sqrt{36x {y}^{2} } } = \frac{ \sqrt{y} }{6 {x}^{2}y \sqrt{x} } = \frac{1}{6 {x}^{ \frac{5}{2} } {y}^{ \frac{1}{2} } } = \frac{1}{6} {x}^{ - \frac{5}{2} } {y}^{ - \frac{1}{2} } \)

\( \frac{1}{6} \times - \frac{5}{2} \times - \frac{1}{2} = \frac{5}{24} \)

if a confidence interval is given from 43.85 up to 61.95 and the mean is known to be 52.90, what is the margin of error?

Answers

The margin of error can be calculated using the formula:
Margin of error = (upper limit of the confidence interval - lower limit of the confidence interval) / 2

In this case, a margin of error of 9.55 suggests that the sample mean is quite precise, since it's relatively close to the true population mean (which we know to be 52.90).

In this case, the lower limit of the confidence interval is 43.85 and the upper limit is 61.95.
Margin of error = (61.95 - 43.85) / 2
Margin of error = 9.55
Therefore, the margin of error is 9.55. This means that if the sample size were to be repeated, we would expect the sample mean to be within 9.55 units of the true population mean 95% of the time.
It's worth noting that the confidence interval provides a range of values within which we can be reasonably certain that the true population mean lies. The margin of error, on the other hand, gives us an indication of the precision of our estimate. However, if the margin of error were larger, this would indicate that our estimate is less precise and that we need a larger sample size to obtain a more accurate estimate of the population mean.

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Susan bought 3 pounds of grapes for $2.49 per pound. She also
bought 4 muffins for $0.75 per muffin. How much did she spend
altogether?

Answers

Answer:

10.47

Step-by-step explanation:

2.49+2.49+2.49+.75+.75+.75+.75=10.47

-3b+7b+5= -19

I believe the answer is -6

Answers

Answer:

B = -6

Step-by-step explanation:

so yes, you're correct.

Look at the table showing different prices for cans of soup.

Prices for Soup
Price A
Price B
Price C
$3.87 for 3
$2.38 for 2
$8.75 for 7

Answers

The prices in order from greatest to least unit rate is Price A>Price C>Price B.

Given a table that showing different prices for cans of soup as shown in attached image.

Here, we will calculate the price of 1 quantity of each type of soup.

The Price of 3 quantities of soup price A=$3.87

Now, we will find the price of soup A for the 1 quantity.

The Price of 1 quantity of soup price A=$3.87/3=$1.29

The Price of 2 quantities of soup price B=$2.38

Now, we will find the price of soup B for the 1 quantity.

The Price of 1 quantity of soup price B=$2.38/2=$1.19

The Price of 7 quantities of soup price C=$8.75

Now, we will find the price of soup C for the 1 quantity.

The Price of 1 quantity of soup price C=$8.75/7=$1.25

Hence, the prices in order, from greatest to least unit rate from the given table which is shown in attached image is Price A>Price C>Price B or $1.29>$1.25>$1.19.

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When it comes to the sale of products such as pet food, the veterinary practice is at an advantage over feed stores and grocery stores because

Answers

When it comes to the sale of products such as pet food, the veterinary practice is at an advantage over feed stores and grocery stores because they have better knowledge and understanding about the pet food, and they have established trust with their customers.

What is pet food?

Pet food is a nutrient-rich food specially designed for domestic animals, like dogs, cats, and other pets. It is made from various animal and plant-based sources, such as beef, fish, and corn. Since pet food is designed to meet the nutritional needs of the pets, it must be balanced and complete to provide them with the necessary nutrients they need to be healthy and active.

Why veterinary practice is at an advantage over feed stores and grocery stores?

Veterinarians are at an advantage over feed stores and grocery stores when it comes to the sale of pet food because they have the knowledge and expertise about the pet food. They are aware of the specific nutritional requirements of the pets and the various pet food brands available in the market. They can provide advice and recommendations to pet owners on what type of pet food is best suited for their pets based on their age, breed, and health conditions.

                             Moreover, veterinary practices have established trust with their customers. When customers know they can rely on a particular veterinary practice for quality products and trustworthy advice, they are more likely to shop there repeatedly.

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A cyclist travels at 10 km/hr for 2 hours and then at 13 km/hr for 1 hour.

Find his average speed.​

Answers

Answer:11km/hr
Step by step explanation
In 1hr a cyclist travels 10 km so multiply 10 by 2 then he travels 13 km in 1 hour so keep it the same add 10(2)+13 to get 33 it took him 3 hrs in total to travel this distance so you must then divide 33 by 3 and you get average speed 11 km/hr

Allison earns $6,500 per month at her job as a principal. the chart below shows the percentages of her budget how much does Allison pay for her utilities

Allison earns $6,500 per month at her job as a principal. the chart below shows the percentages of her

Answers

In order to determine how much does Allison pay for her utilitites, it is only necessary to calculate the percentage associated to utilities, given in the table (2.3%) of the Allison's earns ($6,500).

For calculating the 2.3% of 6,500, you simply multiply (2.3/100) by 6,500, just as follow:

(2.3/100)(6,500) = 149.5

Then, the 2.3% of $6,500 is $149.5. Hence, Allison pay $149 for her utilities

7(x+12)-4 algebraic expression

Answers

Answer:

7x+80

Step-by-step explanation:

7(x+12)-4

7x + 84 -4

7x+80

solve the following system of equations. if there is no solution, write dne in each coordinate of the ordered triplet. if there are an infinite number of solution, write each coordinate in terms of z . z. x 7

Answers

DNE in each coordinate of the ordered triplet are y is -7 , DNE ,y is-2.

Whais the explanation?

1.) 2+3 = y + 12

Make y the formula's subject after adding the LHS.

5 = y + 12

Y = 5 - 12

Y = - 7

The answer to the equation is -7

2.) 2 + 13 = 1 +8

The equation cannot have a solution since there is no unknown variable and the sum of the numbers on the left hand side (LHS) does not equal the sum of the numbers on the right hand side (RHS).

3.) y - 7 = 2 - 11

RHS is added, and y is become the formula's subject.

Y - 7 = -9

Y = -9 + 7

Y = -2

The equation's answer is -2.

The complete question is:Solve the following system of equations. If there is no solution, write DNE in each coordinate of theordered triplet. If there are an infinite number of solution, write each coordinate in terms of z.2+3 = y + 12

2 + 13 = 1 +8

y - 7 = 2 - 11

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A pool measuring 18 meters by 22 meters is surrounded by a path of uniform width. if the area of the pool and the path combined is 1292 square meters, what is the width of the path?

Answers

If the area of the pool and the path combined is 1292 square meters, and since the width cannot be negative, we can conclude that the width of the path is 16 meters.

How to solve ?

The problem states that a pool measuring 18 meters by 22 meters is surrounded by a path of uniform width. We need to find the width of the path.

To solve this problem, we can subtract the area of the pool from the total area of the pool and path combined.

The area of the pool is found by multiplying the length and width of the pool:

18 meters * 22 meters = 396 square meters.

Let's represent the width of the path as "x".

The total area of the pool and path combined is given as 1292 square meters.

So, we have the equation:

Total area = Area of pool + Area of path
1292 = 396 + (18 + 2x) * (22 + 2x)

Simplifying the equation, we get:
1292 = 396 + (22x + 36 + 2x^2)

Rearranging and simplifying further, we get:
2x^2 + 22x - 860 = 0

We can solve this quadratic equation by factoring or using the quadratic formula.

Using the quadratic formula, we have:
\(x = (-b ± sqrt(b^2 - 4ac)) / 2a\)


Plugging in the values, we get:
\(x = (-22 ± sqrt(22^2 - 4*2*(-860))) / 2*2\)
\(x = (-22 ± sqrt(484 + 6880)) / 4\)
\(x = (-22 ± sqrt(7364)) / 4\)
We can simplify further:
x = (-22 ± 86) / 4

So, we have two possible solutions:
x = (86 - 22) / 4

= 64 / 4

= 16
x = (-86 - 22) / 4

= -108 / 4

= -27

Since the width cannot be negative, we can conclude that the width of the path is 16 meters.

Therefore, the width of the path is 16 meters.

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The width of the path surrounding the pool is approximately 8.48 meters.

To find the width of the path surrounding the pool, we need to set up an equation based on the given information.
Let's denote the width of the path as 'x'.
The length of the pool, including the path on both sides, would be 18 + 2x meters, and the width, including the path on both ends, would be 22 + 2x meters.
The total area of the pool and the path combined is given as 1292 square meters. So, we can write the equation:
(18 + 2x) * (22 + 2x) = 1292
Expanding this equation, we get:
396 + 76x + 4\(x^2\) = 1292

Rearranging the terms and simplifying, we have:
4\(x^2\)  + 76x - 896 = 0
Now, we can solve this quadratic equation for 'x'. We can either factor it or use the quadratic formula. Let's use the quadratic formula:
x = (-b ± √(\(b^2\)  - 4ac)) / (2a)
In our equation, a = 4, b = 76, and c = -896. Plugging in these values, we get:
x = (-76 ± √(\(76^2\)  - 4 * 4 * -896)) / (2 * 4)
Simplifying further:
x = (-76 ± √(5776 + 14336)) / 8
x = (-76 ± √20112) / 8
x = (-76 ± 141.85) / 8
Now we have two possible values for 'x'. We can calculate both:
x1 = (-76 + 141.85) / 8 = 8.48 meters (approx.)
x2 = (-76 - 141.85) / 8 = -28.36 meters (approx.)

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please help me before i fail!!! 3√343 = ?

Answers

Answer: 21√7

Step-by-step explanation: Hope this helps

Put the following items in order from most expensive to least expensive. Item Base Price Change Direction Blender $29. 73 9% Markdown Hat $14. 16 77% Markup Ink $20. 17 27% Markup Heater $28. 46 22% Markdown a. Blender, heater, ink, hat b. Blender, ink, hat, heater c. Ink, hat, blender, heater d. Ink, heater, blender, hat.

Answers

Putting the considered items in order from most expensive to least expensive item gives the order as shown by: Option b. Blender, ink, hat, heater

What is Markup and Markdown?

Markup is the amount that will be increased in the original price of the considered thing.

Markdown is the amount that will be decreased from the original price of the considered thing.

Think of "up" and "down" as increasing and decreasing prices respectively.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\(\dfrac{a}{100} \times b\)

For this case, the base prices and the chage in price is given as:

Item                Base Price                    Change Direction

Blender            $29.73                           9% Markdown

Hat                   $14.16                             77% Markup

Ink                    $20.17                            27% Markup

Heater             $28.46                           22% Markdown

Calculating the resultant price:

Case 1: Blender:

Resultant price = 29.73 - 9% of 29.73

\(P= 29.73 - \dfrac{29.73}{100}\times 9\\\\P = 27.0543 \: \: \text{dollars}\)

Case 2: Hat:

Resultant price = 14.16 + 77% of 14.16

\(P= 14.16+\dfrac{14.16}{100}\times 77\\\\P = 25.0632\: \: \text{dollars}\)

Case 3: Ink:

Resultant price = 20.17 + 27% of 20.17

\(P= 20.17+\dfrac{20.17}{100}\times 27\\\\P = 25.6159\: \: \text{dollars}\)

Case 4: Heater:

Resultant price = 28.46 - 22% of 28.46

\(P= 28.46- \dfrac{28.46}{100}\times 22\\\\P = 25.0448 \: \: \text{dollars}\)

Thus, putting the considered items in order from most expensive to least expensive item gives the order as shown by: Option b. Blender, ink, hat, heater

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information systems help a company make adequate use of its data, reduce workload and assist with compliance with various mandatory regulations. this was issued by king george the 3 at the end of the french and indian war 7The venue for an outdoor summer concert was divided into 35 sections. The event planner randomly chose 8 sections and countedthe number of ice chests in the section, as shown below.48, 51, 26, 73, 51, 48, 26,51Assuming that the sample was representative of the entire venue, what was the mean number of ice chests in a section? Please help! Q: How might Laura Collins Lyster- Mensh respond to Brutus statements on natural rights? Answer in a minimum of three complete sentences using supporting evidence from the lesson.Passage:If we may collect the sentiments of the people of America, from their own most solemn declarations, they hold this truth as self-evident, that all men are by nature free. No one man, therefore, or any class of men, have a right, by the law of nature, or of God, to assume or exercise authority over their fellows How great a proportion of natural freedom is necessary to be yielded by individuals, when they submit to government, I shall not inquire. So much, however, must be given, as will be sufficient to enable those to whom the administration of the government is committed, to establish laws for the promoting the happiness of the community, and to carry those laws into effect. But it is not necessary, for this purpose, that individuals should relinquish all their natural rights. Some are of such a nature that they cannot be surrendered. Of this kind are the rights of conscience, the right of enjoying and defending life, etc. Others are not necessary to be resigned in order to attain the end for which government is instituted; these therefore ought not to be given up. To surrender them, would counteract the very end of government, to wit, the common good. From these observations it appears, that in forming a government on its true principles, the foundation should be laid in the manner I before stated, by expressly reserving to the people such of their essential rights as are not necessary to be parted with. 1. An environmental scentstis conducting tests on a stream in Baltimore County They record the air and water temperatures in the afternoon on April 4 and the moming of Aprilavailable in the chart below. 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For the toolbar, press ALT+F10 (PC) or A Regarding the influence of public opinion on policy making a, a minority of the public feel that public opinion should have a great deal of influence, while policy makers hold the opposite view. b. we don't really know what the public tends to believe. c. a minority of both the public and policy makers feel that public opinion should have a great deal of influence. d. a majority of the public feel that public opinion should have a great deal of influence, while policy makers hold the opposite view. e. a majority of both the public and policy makers feel that public opinion should have a great deal of influence. What is this answer please Question 12From the given graph, use two points to write an equation in point-slope form and then change to slope-intercept form.Step 1: Use the two points to find the slope.Step 2: Use the slope and one point to complete point-slope form.y-y = m(x-x)Step 3: Change point-slope form into slope intercept form by solvingfor y. Show your work!y=mx+b 10. Differentiate between equity share & preference share. darrell owns a parcel of land that is encumbered by a mortgage held by the first national bank. darrell agrees to sell the land to paul for $50,000. darrell and paul together go to the first national bank to discuss the sale and purchase with the banker. darrell, paul, and the banker sign an agreement stating that paul will assume the mortgage and that darrell will be discharged from all further liability on the mortgage. in this case: Need help with this. Suppose output and income is equal to 9300, the marginal propensity to consume is 0.60, and autonomous consumption is 600. Calculate total saving for this economy, assuming no public or foreign sector. (Round your answer to the nearest whole number.) briefly discuss the immediate cause of the revolt??plz help You are shopping for a King & Queen size mattress, each of which are shaped like a rectangle. The Queen is 16 inches longer than it is wide. The King is 20 inches wider than the Queen, but has the same length. The area of the King-sized mattress is 1,600 in larger than the Queen. Find the Area of both mattresses Jake has 6 quarters 2 dimes and a nickel does he have enough to buy a dog bone that costs 1.49? If you were a dictator for the standard OLG model economy, a. What would be your problem to solve? Write down what you think and explain. b. Can you solve for the necessary FOC of the problem that you have defined in part a? Explain? A polynomial of the 5^{\text{th}}5 th 5, start superscript, start text, t, h, end text, end superscript degree with a leading coefficient of 777 and a constant term of 66. A chemical engineer is trying to increase the amount of the useful product in a reaction. She performs the reaction with her new equipment 10 times and gets the following amounts of the useful product:amount of useful product in grams47.148.248.347.548.548.147.248.248.448.3What is the average of this data? Explain how you got your answer:What is the mean absolute deviation for this data set?