A family used a professional decorator to help furnish their new home. The decorator selected $1,580 worth of furnishings. In addition to paying for the purchases, the family paid 4.5% tax on the purchases. The decorator's fee was 12% of the purchases, not including the tax. Write an equation in the form of y=kx to represent the decorator's fee. Then use the equation to calculate the amount of that fee. Round to the nearest hundredths place if necessary.

Answer:

median is 10 or 12 and the mean is 10.6

Step-by-step explanation:

7, 8, 10, 12, 13, 14

Answer:

i) The probability that the number on the ticket is even is [tex]\mathbf{\frac{1}{2}}[/tex]

ii) the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]

iii) The probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]

iv) the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]

Step-by-step explanation:

Tickets numbers are: 4, 5, 6......48, 49

So, total tickets in box = 46

We need to find probability that the number on the ticket is:

i) an even number.

Even number in tickets are: 4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48

Total number of favourable outcomes = 23

So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]

Total number of outcomes = 46

Number of favourable outcomes = 23

Putting values and finding probability

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{23}{46}\\Probability=\frac{1}{2}[/tex]

So, the probability that the number on the ticket is an even number is [tex]\mathbf{\frac{1}{2}}[/tex]

ii) A number less than 16

Even number in tickets are: 4,5,6,7,8,9,10,11,12,13,14,15

Total number of favourable outcomes = 12

So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]

Total number of outcomes = 46

Number of favourable outcomes = 12

Putting values and finding probability

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{12}{46}\\Probability=\frac{6}{23}[/tex]

So, the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]

iii) a perfect square

Perfect squares are: 4,9,16,25,36

Total number of favourable outcomes = 5

So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]

Total number of outcomes = 46

Number of favourable outcomes = 5

Putting values and finding probability

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{5}{46}[/tex]

So, the probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]

iv)  a prime number less than 30.

Prime numbers less than 30 are: 5,7,11,13,17,19,23,29

Total number of favourable outcomes = 8

So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]

Total number of outcomes = 46

Number of favourable outcomes = 8

Putting values and finding probability

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{8}{46}\\Probability=\frac{4}{23}[/tex]

So, the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]

Answer:

The first one and the second one

Step-by-step explanation:

I hope that this helped

Answer:

The answer is D.

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

i=prt

your p=30 dollars

rate is 10%

t=1 year

i=(30*0.01*1)=3

3 dollars

Answer:

12

Step-by-step explanation:

Let the unknown number be x.

8 = -4(1) + x

8 = -4 + x

x - 4 = 8

x = 8 + 4

x = 12

Answer:

[tex]a_{n}[/tex] = - 4n + 12

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = a₂ - a₁ = 4 - 8 = - 4 , then

[tex]a_{n}[/tex] = 8 - 4(n - 1) = 8 - 4n + 4 = - 4n + 12

Answer:

W = x^2 - 2yz / - w

0 = x^2 - 2yz - w / +2yz

2yz = x^2 - w // 2z

y = (x^2 -w ) / 2z

So correct answer is D

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 11/12

Step-by-step explanation:

7/12 and 1/3 don’t have the same denominator, so you can’t just add them right away. You have to give them the same bottom number. 1/3 = 4/12, so you can do it like this:

7/12 + 4/12 = 11/12

11/12 is in simplest form, so that should be correct! Hope this helps! :)

Step-by-step explanation:

Hi so are we dating?????

Answer:

81

Step-by-step explanation:

y= x²

if x= 9 substitute x with 9 in the equation

y= 9² = 81

Answer:

-1/3

Step-by-step explanation:

join the zoom call and i can explain that way when another question comes no need to waste points: 73216153508 thats the code to join

Answer:

Slope is rate of change, so define your values.

-$100 is the initial fee

-$70 is charged per month

per month is the constant rate of change

70 is the slope

The slope (rate of change) of the function is 70.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

Given:

Verizon charges a $100 initial contract fee,

then $70 a month for a basic cell phone plan.

Let the x be the number of months.

So, the equation,

y = 70x + 100

By comparing with the slope-intercept form,

y = mx + b, where m is the slope.

So, m = 70.

Therefore, 70 is the slope.

To learn more about the slope;

brainly.com/question/3605446

#SPJ2

Answer:

high specific heat, which results in slow, small changes in water temperature

Step-by-step explanation:

Got it right on edge

Answer:

D. high specific heat, which results in slow, small changes in water temperature  

Step-by-step explanation:

got it right on edge

Answer:

A

Step-by-step explanation:

Okay.

A negative exponent means we want to "flip" the term.

so we get

(1/-c^2)^1/3

When we get a fraction exponent, we want to "root" the term by that

so we get

[tex]\sqrt[3]{\frac{1}{-c^2} }[/tex]

Which simplifies to

[tex]\frac{\sqrt[3]{1} }{\sqrt[3]{-c^2} }[/tex]

Which becomes[tex]1/\sqrt[3]{-c^2}[/tex]

Answer:

They multiplied the exponents instead of adding.

Step-by-step explanation:

Essentially, 2^2 x 2^3 is (2)(2) x (2)(2)(2) which is 5, not 6

Answer:

when it says times it doesn't mean times the powers it means add

basically the first one is correct

Answer:

Blood clotting normally occurs when there is damage to a blood vessel. Platelets immediately begin to adhere to the cut edges of the vessel and release chemicals to attract even more platelets. A platelet plug is formed, and the external bleeding stops.The First World War fought in July 28, 1914.Diffusion is the net movement of anything from a region of higher concentration to a region of lower concentration. Diffusion is driven by a gradient in concentration.

Step-by-step explanation:

Answer:

5x +2y =38

5(6) +2y = 38

30 +2y= 38

2y= 8

y= 4

(6, 4)

5(0) +2y =38

2y= 38

y= 19

(0,19)

5(-2) +2y= 38

-10 +2y =38

2y= 48

y=24

(-2,24)

Answer:

There is two ounces of water for every ounce of vegetables.

Step-by-step explanation:

Given that:

Sam needs 16 ounces of water and 8 ounces of vegetables to make 1 batch of vegetable soup.

Ratio is defined as the quantitative relation between two numbers.

We will use ratio to compare the amount of water to amount of vegetables.

Ratio of water to vegetables

16 : 8

Dividing by 8

[tex]\frac{16}{8}:\frac{8}{8}[/tex]

2:1

Hence,

There is two ounces of water for every ounce of vegetables.

Answer:

Original Cost: $76

Fee: 7.5%

Take 7.5% of 76 (76 times .075)  and add the result to the original amount $76

So, 76 times .075= 5.7

5.7+76= 81.7

Step-by-step explanation:

Given:

The table of values is

Number of Students   :  7    14   21    28

Number of Textbooks : 35  70  105  140

To find:

The rate of change and showing that the ratios of the two quantities are proportional and equivalent to the unit rate.

Solution:

The ratio of number of textbooks to number of students are

[tex]\dfrac{35}{7}=5[/tex]

[tex]\dfrac{70}{14}=5[/tex]

[tex]\dfrac{105}{21}=5[/tex]

[tex]\dfrac{140}{28}=5[/tex]

All the ratios of the two quantities are proportional and equivalent to the unit rate.

Let y be the number of textbooks and x be the number of students, then

[tex]\dfrac{y}{x}=k[/tex]

Here, k=5.

[tex]\dfrac{y}{x}=5[/tex]

[tex]y=5x[/tex]

Hence the rate of change is constant that is 5.

Answer:

12

Step-by-step explanation:

Answer:

C. x = 1 + 3i or x = 1 - 3i

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

x² - 2x + 10 = 0

Step 2: Identify Variables

a = 1

b = -2

c = 10

Step 3: Find roots

Answer:

-7

Step-by-step explanation:

7n+5=-44

-5 - 5

7n=-49

7/7 -49/7

n = -7