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.

Answers

Answer 1

Answer:

Step-by-step explanation:

Worth of furnishings = $1580

Tax rate = 4.5%

Tax = 4.5% × $1580 = 0.045 × $1580 = $71.10

Amount paid = $1580 + $71.10 = $1651.10

Since the decorator's fee was 12% of the purchases. This will then be calculated as:

y = kx

where,

y = decorators fee

k = percentage of decorators fee on purchases

x = amount paid

y = 12% × $1651.10

= 0.12 × $1651.10

= $198.132


Related Questions

Please help

Simplify the expression by combining like terms

Answers

Collect like terms
5a + a , 1+3
Calculate
Reorder terms
Final answer :
7a2 + 6a + 4

Answer:

[tex] \sf \: {7a}^{2} + 6a + 4 [/tex]

Step-by-step explanation:

Given expression,

→ 1 + 5a + 7a² + a + 3

Let's simplify the expression,

→ 1 + 5a + 7a² + a + 3

→ (7a²) + (5a + a) + (1 + 3)

→ (7a²) + (6a) + (4)

→ 7a² + 6a + 4

Hence, answer is 7a² + 6a + 4.

Line see crosses through both A and B creating angles d through k. If m

Answers

Answer:

they are parallel lines with a crossing line creating a 90 degree angle

The line A and line B are parallel to each other and line C is perpendicular to both line A nd B.

What is converse of consecutive interior angle theorem ?

As a result of the converse of consecutive interior angle theorem, two parallel lines are formed whenever a transversal intersects two lines so that two consecutive interior angles are supplementary.

Any pair of angles that lie on opposite sides of two lines cut by a transversal on the same side is known as corresponding angle.

Here, the angle ∠d and angle ∠h are corresponding angles and there measurement is 90 degrees which implies that the line A and line B parallel to each other and line C is perpendicular to both line A nd B.

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please help. Which number(s) below belong to the solution set of the inequality? Check all that apply. 9x > 117
the arrow like symbol has a line under it

A. 14

B. 8

C. 12

D. 13


E. 19
F. 6​

Answers

Answer:

A, d and e

Step-by-step explanation:

So take the numbers a multiply them by nine. if they are more than 117, then they are correct, but with D 9x13 is equal to 117 so it is part of the solution set.

What is the direction of the vector = ?

Answers

Answer:

The most general convention is that the orientation of a vector is the angle of rotation in the counterclockwise direction of the vector with respect to the East.

Step-by-step explanation:

Answer:

its a smg

Step-by-step explanation:

its a man made tool

PLS HELP WILL GIVE 25 POINTS
by what percent should jack increase the number x to get 9/4*x

Answers

Answer:

125%

Sorry for no explaination ;-;

3x-2y=10
y=2x-5


I NEED HELP PLS

Answers

3x-2y=10
put the value of y which is given
3x-2(2x-5)=10
3x-4x+10=10
-x+10=10
-x=10-10
-x=0
x=0

put the value of x in the first equation
3(0)-2y=10
-2y=10
y=10/-2
y=-5

x is 0 and y is -5
hope this helped :)

What has been your biggest learning for this year?

Answers

Answer: my biggest learning is for this year is how bill of rights works

Step-by-step explanation:

9. The Strawberry Festival is finally here! Mrs.
Sullivan bought two gourmet pretzels and four
boxes of strawberries for a total cost of $43. Mr.
Hawke bought two gourmet pretzels and two
boxes of strawberries for $30
a. Write the system to represent the situation.
b. Solve the system (using the method of your
choice) to find how much a box of strawberries
cost.

Answers

[tex]\left \{ {{- \atop {2(21.5-2y)+2y=30}} \right.[/tex]Answer:

Step-by-step explanation:

a)

x= gourmet pretzels

y= boxes of strawberries

system will be:

[tex]\left \{ {{2x+4y=43 \atop {2x+2y=30}} \right.[/tex]

b)

[tex]\left \{ {{2x+4y=43 \atop {2x+2y=30}} \right.[/tex] [tex]\left \{ {{x=21.5-2y \atop {2x+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {2(21.5-2y)+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {43-4y+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {-4y+2y=30-43}} \right.[/tex][tex]\left \{ {{- \atop {-2y=-13}} \right.[/tex][tex]\left \{ {{- \atop {y=\frac{13}{2} }} \right.[/tex][tex]\left \{ {x=21.5-2(6.5)}} \atop {y=6.5}} \right.[/tex][tex]\left \{ {{x=8.5} \atop {y=6.5}} \right.[/tex]

a box of strawberries is 6.5

Benjamin deposit $3,000 into each of two savings accounts the first savings account pays 5% interest compounded annually the second savings account pays 5% simple interest annually if Benjamin makes no other deposits or withdrawals what will be the difference between the interest earned by the two savings accounts after 4 years?
A) $46.52
B) $28.8
C) $646.52
D) $3,046.52

Answers

Answer:

The answer is B

Step-by-step explanation:

Find the value of the variables

Answers

Answer:

x=2

y=7

Step-by-step explanation:

Since we know that the object is a rectangle, we know that the opposite sides are equal to each other. Thus:

9 = y+2

and

2y = 7x

Using algebra we can solve the first equation:

9 = y+2

9-2 = y

7 = y

Now we can use substitution:

2y = 7x

2(7)=7x

14=7x

x=2

Approximate the distance between (-1, -3) and (1, 3) to the nearest tenth

Answers

Answer: The distance or d = 6.324555

For:

(X1, Y1) = (-1, -3)

(X2, Y2) = (1, 3)

Step-by-step explanation:

Distance Equation Solution:  This picture of the work out problem will show you how you would work it out.  

Solve the equation. Enter your answer in the box. 42 = y + 15

Answers

Answer:

y=27

Step-by-step explanation:

Simplifying

42 = y + 15

Reorder the terms:

42 = 15 + y

Solving

42 = 15 + y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-1y' to each side of the equation.

42 + -1y = 15 + y + -1y

Combine like terms: y + -1y = 0

42 + -1y = 15 + 0

42 + -1y = 15

Add '-42' to each side of the equation.

42 + -42 + -1y = 15 + -42

Combine like terms: 42 + -42 = 0

0 + -1y = 15 + -42

-1y = 15 + -42

Combine like terms: 15 + -42 = -27

-1y = -27

Divide each side by '-1'.

y = 27

Simplifying

y = 27

Answer:

27

Step-by-step explanation:

Round each number to the specified place value.
81.23 (whole number-ones)
13.567 (tenths)

Answers

Answer:

81

13.6

Step-by-step explanation:

When rounding 81.23 to the ones place, look at the following spot, the tenths place, to determine whether to round up or down. If the value is 4 or less, round down. If the value is 5 or greater, round up. 2 is less than 4, so round 81.23 to 81.

Since we're looking to round 13.567 to the nearest tenth, look at the value of the number in the hundreths spot. Repeat the same process as above. 6 is greater than 4, so round 13.567 to 13.6.

Find the length of the missing side

Answers

Answer:

52

Step-by-step explanation:

To solve, use the Pythagorean Theorem, which says c² = a² + b². Enter 20 as a and 48 as b and square them both. This will give you 400 for a, and 2304 as b. Add them to get 2704. So, c² = 2704. Find the square root of this to get 52. So, the third side is 52 in length.

A large deer population lives in Pleasant view. As more and more people move to the city, the deer population is on the decline. Current deer population is 1600. It is declining 12% each year. What is the Equation, and table of values ?

Answers

em 2008 lançou o primeiro voto que não sei de quem não sei

Which is more, 49 ounces or 3 pounds?

Answers

Answer:

The answer is 49

Step-by-step explanation:

Because 48 oz is 3 pounds but their one more there for.

1. Find the GCF of the terms of each polynomial.
a. 15x2 + 18

Answers

Answer:

4894-

Step-by-step explanation:

dsfghbsvacfvgb VSCDFVRGb vzxVfd xvf cdv

i’ve tried to figure it out && i can’t figure it out,, any help ?

Answers

Answer:

  y = -4x - 11  

Step-by-step explanation:

  slope intercept form:

     y = mx + b

  Find y-intercept with slope of -4 and passes through point (-3, 1):

    y = mx + b

    1 = -4(-3) + b

    1 = 12 + b

    b = -11                         <======== y-intercept

  Equation using the given slope of -4 and y-intercept above:

     y = mx + b

     y = -4x - 11

A department store sells a pair of shoes with an 87% markup. If the store-bought
the pair of shoes for $55.25, what is the selling price to the nearest dollar?

Answers

Answer:

Step-by-step explanation:

55.25x.87=48.07

55.25+48.07=103.32

Leo has already taken 1 page of notes on his own, and he will take 1 page during each hour
of class. In hall, how many hours will Leo have to spend in class before he will have a total of
50 pages of notes in his notebook?

Answers

Answer:

49 Hours

Step-by-step explanation:

If it takes him 1 hour to finish 1 page of notes and he already finished 1, he would need to do a total of 49 hours to get 49 more pages done.

Hope this helps!

Example 3: The following data was collected by a taxi driver who was interested in how much fuel he used on different journeys. Length of journey 100 250 150 180 220 (miles) 300 Fuel Used (liters) 24 59 44 50 59 97 Estimate how much fuel would be needed for a 200-mile journey.​

Answers

Answer:

For a 200 mile journey, 55.5 liters of fuel

is needed

Step-by-step explanation:

Here, we want to estimate the fuel needed for a 200 mile journey

we can use this by having an average

By adding all and dividing by 6

Mathematically, that will be;

(24 + 59 + 44 + 50 + 59 + 97)/6

= 55.5

The reason for this is because if we added all the lengths and divide by 6, what we get is 200

Thus, if we added the liters of fuel used per each and divide by 6, we can have an estimate for a 200-mile journey

Finals Help plzzzzzzzzzzzzz
(Will mark Brainliest)

Answers

Answer:

because they are clearly the same shap but not the same size

Step-by-step explanation:

def of similar (also what ~ means) Two figures that have the same shape are said to be similar.

What is the image point of (1, 2) after a translation right 5 units and up 3 units?

Answers

Therefore the image point of (1, 2) is (6, 5)

Given point is (1, 2) considered as (x, y)

We know that in the coordinate axis horizontal line represents the x-axis and the vertical line represents the y-axis.

In that, a point that moves right means it goes positive x-axis.

If the point moves left means it goes negative x-axis.

If the point moves up means it goes positive y-axis.

If the point moves down means it goes negative y-axis.

By using the above points we can solve this question as

Given we need to find the image point of (1, 2) after a translation right 5 units and up 3 units.

Now the point on the x-axis changes to 5 units right as

= x + 5

= 1 + 5

= 6

Now the point on the y-axis changes to 3 units up as

= y + 3

= 2 + 3

= 5

Therefore the image point of (1, 2) is (6, 5).

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PLEASE ANSWER ASAP !!!!!

Answers

15x4+93 = 153 that is the equation and answer

Emma goes miniature golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Emma pays for admission and the number of rounds she golfs is $26.25. Which equation can be used to determine the number of rounds, x, that Emma golfs?

Answers

Answer:

The equation that can be used to determine the number of rounds that Emma golfs is:

x=(c-7.50)/6.25

Step-by-step explanation:

From the information given, the total amount Emma pays to go miniature golfing is equal to the price of the admission ticket plus the result of multiplying the price per round of golf for the number of rounds and according to this, the equation would be:

c=7.50+6.25x, where:

c is the total cost for Emma to go miniature golfing

x is the number of rounds

Now, you can solve for x to determine the equation that can be used to find the number of rounds that Emma golfs:

x=(c-7.50)/6.25

You can replace c with 26.25:

x=(26.25-7.50)/6.25

x=18.75/6.25

x=3

What is the coordinate of the solution for the following equations? y = 4x – 9 y = -3x + 12

Answers

Answer:

x = 60/17, y = 24/17

Step-by-step explanation:

Is the given sequence arithmetic? If so identify the common difference. 3,8,13,28

Answers

Answer:

yes,5

Step-by-step explanation:

The height of a painting is 65ft. between which two consecutive whole numbers is 65?

Answers

The height of painting lies between 8 and 9 feet.

The square numbers before and after 65 are 64 and 81 respectively. Further, 64 is the square of 8 and 81 is the square 9. This indicates that √65 will lie between the whole numbers 8 and 9. The whole numbers are defined as the numbers who are an integer and do not have fractions.

Since 65 is close to square number 64 rather than square number 81, the square root of 65 should also be close to the whole number 8.

Thus, it is evident that height of the walls lie between two consecutive whole numbers 8 and 9.

Learn more about whole numbers -

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The complete question is -

The height of a painting is √65. Between which two consecutive whole numbers is √65?

Find the value of f(8)

Answers

Answer:

y= -4

Step-by-step explanation:

Desperately need help

Answers

The values of A, B and C that would complete the table is 0, -3 and -7 respectively.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation y = -2x - 3. Using the table of values:

When x = -1; y = -2(-1) - 3 = 0

When x = 0; y = -2(0) - 3 = -3

When x = 2; y = -2(2) - 3 = -7

The values of A, B and C that would complete the table is 0, -3 and -7 respectively.

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