The table shows the sales receipt for your purchase.

a) the items with a "t" next to the price are subject to sales tax. what percent sales tax did you pay?






b) calculate the price of the top.





c) the price you paid for the top was 60% of the original price. what was the original price of the top?

Answers

Answer 1

The sales receipt for the purchase includes the sales tax

The sales tax is 6%The price at the top is $7.50The original price at the top is $12.50

How to determine the percent of sales tax?

The sales tax is calculated as:

Percentage sales tax * (Sum of Items subjected to tax) =  Sales tax.

So, we have:

T * (3 + 0.5) =  0.21

Evaluate the sum

T * (3.5) =  0.21

Divide both sides by 3.5

T =  6%

Hence, the sales tax is 6%

The price at the top

The price (p) at the top is calculated using:

p = 13 - 3 - 2 - 0.5

Evaluate the difference

p = 7.5

Hence, the price at the top is $7.50

The original price at the top

60% of the original price (P) is p.

So, we have:

60% * P = p

Substitute 7.5 for p

60% * P = 7.5

Divide both sides by 60%

P = 12.5

Hence, the original price at the top is $12.50

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Related Questions

Nihkil surveyed 20 students at his middle school and 13 of them had at least one sibling. What percent of the students surveyed have at least one
sibling?

Answers

the answer is 65 percent

The students surveyed have at least one sibling are 65%.

What is percentage?

The word "per centum," which means "by the hundred," was used to create the phrase "percentage." The denominator of a percentage is 100, which are fractions. To put it another way, it is the relationship between parts and the whole, where the whole always has a value of 100.

Rate is characterized as a given part or sum in each hundred. The denominator is 100, and the symbol "%" denotes that it is a fraction.

Given total  student surveyed  = 20

students had at least one sibling = 13

percent of the students surveyed have at least one sibling =

(students had at least one sibling)/(total  student surveyed) x 100

percent of the students = 13/20 x 100

percent of the students =  65%

Hence 65% of students surveyed have at least one sibling.

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Help pleaseee i am awful at math

Answers

Step-by-step explanation:

answer is B

use unitary method to solve it

The correct answer is B

A line segment has endpoints at (2, 10) and (18, -18). What is the approximate length of the segment?

Answers

Answer:

  32.2 units

Step-by-step explanation:

The length of a line segment can be found from its endpoint coordinates using the distance formula.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((18 -2)² +(-18 -10)²) = √(16² +(-28)²) = √1040

  d ≈ 32.2

The line segment is about 32.2 units long.

The approximate length of the segment is 32.25 units if the line segment has endpoints at (2, 10) and (18, -18).

What is a distance formula?

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

We have two points (2, 10) and (18, -18)

From the distance formula:

[tex]\rm d= \sqrt{(x_2-x_2)^2+(y_2-y_1)^2}[/tex]

[tex]\rm d= \sqrt{(18-2)^2+(-18-10)^2}[/tex]

[tex]\rm d= \sqrt{(16)^2+(-28)^2} \\\\\rm d= \sqrt{(256+784)\\[/tex]

[tex]\rm d =\sqrt{1040} \\\\d = 32.249[/tex] units  or

d = 32.25 units

Thus, the approximate length of the segment is 32.25 units if the line segment has endpoints at (2, 10) and (18, -18).

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trinity has 6 books to read for homework this week . if she reads 2/3 of a book each night how many nights will it take her to read all six books?

Answers

6 books to be read in all
If 2/3 books = 1 night
Then 6 books = 6 x 1/(2/3)
= 6 x 3/2
= 9 nights
Hence 9 night will be taken to read 6 books

Geometric series mastery test

Plato/edumentum

Answers

Answer:

183

Step-by-step explanation:

it is clearly a geometric sequence.

the common ratio of multiplication factor is -3.

3 × -3 = -9

-9 × -3 = 27

27 × -3 = -81

-81 × -3 = 243

the sum of these first 5 terms is

3 - 9 + 27 - 81 + 243 = 183

FYI - there is a formula to add the first n terms of a geometric sequence :

Sn = a1(1 - r^n)/(1 - r)

if r < 1 (like in our case -3).

in our case

S5 = 3(1 - (-3)⁵)/(1 - -3) = 3(1 - -243)/4 / 3×244/4 = 3×61 = 183

I need answers asap! | Some blocks are stacked as shown. The face of each block is a square and each block represents one cubic unit, what is the surface area of the figure formed by the blocks?
A. 30 square units
B. 28 square units
C. 24 square units
D. 21 square units

Answers

Answer:

28

Step-by-step explanation:

Use the volume formula to find the volume of the prism

Answers

Answer:

B. 9 cubic inches

Step-by-step explanation:

Hey there!

To find the volume of a rectangular prism, you must use the formula:

L * W * H

L is the lengthW is the widthH is the height

To find the volume we must multiply: 1.5, 4, and 1.5

Let's start!

1.5 * 4 * 1.56 * 1.59

The solution is 9 cubic inches (remember that inches * inches * inches is inches³, or cubic inches)

Volume = base area × height

Volume = ( 4 × 1 ½ ) × 1 ½

[tex]v = (4 \times \frac{3}{2} ) \times \frac{3}{2} \\ [/tex]

[tex]v = \frac{12}{2} \times \frac{3}{2} \\ [/tex]

[tex]v = \frac{36}{4} \\ [/tex]

[tex]v = 9[/tex]

Thus C is the correct option.

Have a great day ♡

Question 17/23

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In my dreams, the price of gasoline fell from $3.85 to $1.54. What was the percent decrease?

Answers

Answer:

60%

Step-by-step explanation:

Formula:

Percentage decrease = (amount of decrease)/(original price)

✪ Solve ✪

3.85 - 1.54/3.85 x 100

2.31/3.85 x 100 = 60%

Hence, Percent decrease is 60%

~Lenvy

is 48,200 in scientific notation?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \:48200[/tex]

[tex]\qquad \sf  \dashrightarrow \:4.82 \times 10 {}^{4} [/tex]

Which equation could be used to solve for the length of side c, given a = 5, b = 12, and C = 72°?

Answers

Answer:

The value of the length of the side C is 11.49.

Step-by-step explanation:

Cosine formula is applicable.

c² = a² + b² -2abcos(C)

substitute the values:

c² = (5)² + (12)² -2(5)(12)cos(72)

= 25 + 144 - 2 (60) (0.309)

= 169 - 37.08

c² = 131.92

square root both sides:

c = sqrt(131.92)

C = 11.49

True or False. The point (7, 5) lies on the circle centered at the origin and containing the point (5, 2). Justify your answer.

Answers

Answer:

the center (0.0)

radius length {5

=x^2+y^2=25

6^2+8^2

36+64

100

which is greater than 25

so Itli outside of circle

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Determine the amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years from an account paying 4.5% compounded semiannually. round your answer to the nearest cent. a. $938,272.00 b. $941,790.00 c. $535,528.03 d. $547,577.41

Answers

The amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.

The total amount to be withdrawn in a year = 15265*2 = $30530

The total amount to be withdrawn in 35 years =$1068550

What is the compound interest?

Compound interest is interest on interest along with interest on the principle.

Annual Rate of interest = 4.5%

Semi-annual rate of interest r=2.25%

Amount A= $1068550

[tex]1068550 =P(1+\frac{2.25}{100})^70[/tex]

[tex]P = $225093.358[/tex]

Therefore, the amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.

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What does it mean to solve an equation?
Complete the statements.

The variable in the equation is represented by
To solve the equation you must find the
that makes the equation true.

is a solution of the equation because 5 = 5 is a true statement.

Answers

Answer: y, value of y, 9

Step-by-step explanation:

Answer:

1. Y

2. Value of Y

3. 9

Step-by-step explanation:

A linear function has a y-intercept of 3 and passes through the point (3, 7). Tom compared the slope of the function to the slope of 4x - y = 5. What is the difference in the two slopes?

Answers

Answer:

mom mom mom mom mom mom b mom

find the circumference of circle with radius rcm​

Answers

Step-by-step explanation:

By definition, pi is equal to c/d, where c is the circumference and d is the diameter.

This means that C = pi(d).

However, since diameter is twice the radius, if we let the radius be r cm, d=2r.

This gives that C=2pi(r).

Evaluate the expression below for x = 2, y=-3, and z=-1.
x2 z2 - y2(x+z)
A. -23
B. -5
C. 13
D. 27

Answers

Answer:

It should be B

Step-by-step explanation:

2 2 -1 2 - -3 2 (2+-1)

1. Always do what's in parentheses

so we know that 1 is a negative and 2 is bigger than that number so you would just subtract normally.

2 2 -1 2 - -3 2 -1

Then get all exponents done.

4 -1 - 9-1

3-9-1

-6-1

Which should give u -5

A scale drawing of a house is 2:9. If the length of the actual kitchen is 18 feet, how long was it in the drawing?

Answers

Answer:

4 feet

Step-by-step explanation:

the 9 part of the ratio relates to 18 feet , then

18 ÷ 9 = 2 feet ← value of 1 part of the ratio , then

2 parts = 2 × 2 feet = 4 feet ← length on scale drawing

The perimeter of a rectangle is 84 inches. The width of the rectangle is 12 inches. What is the length of the rectangle?

Answers

The length of the rectangle is 30

Find the least common denominator (LCD) of 7/9 and 5/6

Answers

Answer: 18

Step-by-step explanation:

        The least common denominator of [tex]\frac{7}{9}[/tex] and [tex]\frac{5}{6}[/tex] is going to be a multiple of 9 and 6. Let us list them out:

9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90

6: 6, 12, 18, 24, 30, 36, 42, 28, 54, 60

        You can see I bolded and underlined 18. Why? This is the first common multiple of 9 and 6 so it is our least common denominator (LCD).

This is getting more difficult!

Answers

The equation [tex]y = x^2 - 8x + 3[/tex] is an illustration of a quadratic equation

The vertex of the quadratic equation [tex]y = x^2 - 8x + 3[/tex] is (4,-13)

How to determine the vertex?

The equation is given as:-

[tex]y = x^2 - 8x + 3[/tex]

A quadratic equation is represented as:

[tex]y = ax^2 + bx + c[/tex]

By comparison, we have:

a = 1; b = -8; c = 3

The x-coordinate of the vertex is:
[tex]x = -\frac b{2a}[/tex]

So, we have:

[tex]x = \frac 8{2*1}[/tex]

[tex]x = 4[/tex]

Substitute 4 for y in [tex]y = x^2 - 8x + 3[/tex]

[tex]y = 4^2 - 8 * 4 + 3[/tex]

[tex]y = -13[/tex]

When x = 2 and 3, we have:

[tex]y = 2^2 - 8 * 2 + 3 = -9[/tex]

[tex]y = 3^2 - 8 * 3 + 3 = -12[/tex]

When x = 5 and 6, we have:

[tex]y = 5^2 - 8 * 5 + 3 = -12[/tex]

[tex]y = 6^2 - 8 * 6 + 3 = -9[/tex]

So, the table of values is:

x       y

2      -9

3      -12

4      -13

5      -12

6      -9

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In diagram below?FG bisects

Answers

Answer: 107 degrees

Step-by-step explanation:

A pick-up weighing 1.4 t is loaded with 40 bags of cement each weighing 50 kg. What in the total weight of the pick-up and its load.​

Answers

Answer:

3.4 tonnes

Step-by-step explanation:

Kg --> tonnes = / 1000

50 x 40 / 1000 = 2. 2 + 1.4 = 3.4.

HELLPP
The rectangle shown is to be dilated by a scale factor of 3.5.
(a) Calculate the length of each side of the dilated image. Show your calculations for each side length.
(b) Draw the new image and label it
A B D C     . (It does not have to be to scale)
Answer:

Answers

Answer:

long side/length is 63 cm and short side/height is 28 cm

Step-by-step explanation:

18 x 3.5 and 8 x 3.5

To dilate means to grow so you grow the side by 3.5

Can someone please help me out with this question?​

Answers

Answer:

don't get mad at is i don't get this right

i think it would be D

Step-by-step explanation:

If i have 36 assignments how many should i do a week to have it all done in 6 weeks
25 points

Answers

Answer: 6

Step-by-step explanation: 36/6 = 6

Answer:

6

Step-by-step explanation:

[tex]\frac{36}{6}[/tex][tex]=6[/tex]

6x6=36

How do you find perimeter?

Answers

Finding perimeter is simple. All you do is add up all of the side lengths, and bada bing bada boom, you got the perimeter.

A tv is sold for ra 10350 with 15% profit. Find the cp of tv

Answers

CP=SP*100÷100+P

so,

CP=10350*100÷100+15

CP=9000

Answer:

solution

Step-by-step explanation:

Let.the cp of TV be RS X

now,CP=SP-profit

or, CP=SP-profit% of Cp (as profit amount =profit % of Cp)

or, x=Rs 10350-15÷100× X

or, x= Rs 10350 _ 3X ÷20

or, x+3x ÷20 =Rs 10350

or, 23x ÷20 = Rs 10350

or, x = 10350×20 divided by 23

Therefore X =Rs 9000

The function f(x)=x^2 is graphed on the coordinate grid.

Use the Parabola tool to graph g(x).

g(x)=3x^2

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

Answer:graphed below.Explanation:vertex: (0, 0)

other points:

x    y

-2  12

-1   3

0   0

1    3

2   12

Let's see

g(x)=3x^2

Take some cordinates

(0,0)(1,3)(-1,3)(2,12)(-2,12)

Graph attached

Solve for x: 2(x 3)2 − 4 = 0 Round your answer to the nearest hundredth. X = 4. 41, 1. 59 x = 1. 34, 5. 24 x = −1. 34, −5. 24 x = −4. 41, −1. 59.

Answers

The two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.

What is a quadratic equation?

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here, (a,b,c) are the real numbers and x is the variable.

To find the value of x, the following formula is used,

[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

The given equation is,

[tex]2(x+ 3)^2 - 4 = 0[/tex]

To solve this equation, we need to apply some mathematical operations over it. Let's start with opening the brackets.

[tex]2(x+ 3)^2 - 4 = 0\\2(x^2+6x+9)-4=0\\2x^2+12x+14-4\\2x^2+12x+12=0\\x^2+6x+7=0[/tex]

On comparing with standard equation we get,

[tex]a=1, b=6, c=7[/tex]

Put this values in the above formula,

[tex]x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=\dfrac{-(6)\pm\sqrt{(6)^2-4(1)(7)}}{2(1)}\\x=-4.41,-1.59[/tex]

Hence, the two values when the provided quadratic equation is solved for the x are -4.41 and -1.59 to the nearest hundredth.

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add (5y - 1) + (-2y + 4) =

Answers

Answer:

3(y+1)!

Step-by-step explanation:

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