Charlene is looking at a pair of earrings that costs 10$. Find the totlat cost of the earrings if there is a 15% discount and the sales tax is 8%.Does it matter if the discount is taken before if after the sales tax is added?

Answers

Answer 1

Correct Answer (Short 9.18)
Remark
The correct method is to take the reduction and then add the sales tax. It turns out you get the same answer no matter which way you do it. But the IRS is only interested in the tax put on the eventual selling price and not on any theoretical price you may have gotten before the reduction

Obviously the government would prefer the second method (they get more taxation income) but so far they have not closed that loophole.

Correct Method
Cost of earrings = $10
Find 15% reduction 10*15% = 10*15/100 = 1.5 dollars.
Find the reduced price
10 - 1.5 dollars = 8.5 dollars.

Find the tax on 8.5 dollars.
Amount Tax = 8.5 * 8/100 =0.68 dollars

Add this onto 8.50
Total Cost = 8.50 + 0.68 = $9.18

Answer to Question about order
Now suppose you take the tax first and add it on.
10 * 8/100 = 0.80
Add this onto the selling price 10 + 0.80 = 10.80

Now take the 15% reduction
10.80 * 15/100 = 1.62

Subtract this from the taxed amount
10.80 - 1.62 = 9.18 which doesn't seem to matter.

Related Questions

A ladder is leaning against a building and makes 42° angle with the ground. The top of the ladder reaches 30 feet up on the building. What is the length of the ladder?

Answers

Here we have a right triangle with hypotenuse h, which is to be found. The top of the ladder is 30 feet above the ground, and that distance is opposite the 42 degree angle mentioned. Use the sine function to determine the hypotenuse, h:

sin 42 deg = opp / hyp, or hyp*sin 42 deg = 30 ft. Then hyp = (30 ft)(sin 42), which in turn equals hyp = (30 ft) / (0.669) = 44.8 feet (answer)

The length of the ladder will be 44.8 feet.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

A ladder is leaning against a building and makes a 42° angle with the ground.

The top of the ladder reaches 30 feet up on the building.

Let the length of the ladder be L.

Then the length of the ladder is given by the sine of angle 42°.

sin 42° = 30 / L

L = 30 / sin 42°

L = 30 / 0.699

L = 44.8 feet

The length of the ladder will be 44.8 feet.

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What is the true solution on 2 in e ^in 5x=2 in 15

Answers

2In (e^(In5x))= 2 ln15

In(e^x)=x

2(ln5x)=2ln15

In 5x=In 15

5x= 15

x= 3

genius

A company's profit is described by the equation P(x)=-5x^2+300x+15,000
Where x is the price in dollars that the company charges for its product. What should the company charge for the product to generate the maximum profit?

A)$20

B)$30

C$50

D$60

Answers

P(x)=-5x^2+300x+15,000 is the equation of a parabola and represents profit. Its graph opens down. Our job is to find the x-coordinate of the vertex (which is the x-coord of the maximum profit) and then the corresponding y-value.

The formula x = -b / (2a) will produce that x-coordinate:

-(300)
x = ------------ = 30
2(-5)

When x=30 units, y = profit = -5(30)^2 + 300(30) + 15000 = $19500 (answer)

The company charge for the product to generate a maximum profit is $30. Then the correct option is B.

What is differentiation?

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

A company's profit is described by the equation

[tex]\rm P(x)=-5x^2+300x+15000[/tex]

Where x is the price in dollars that the company charges for its product.

Differentiate the equation with respect to x.

[tex]\rm \dfrac{dP(x)}{dx}=-10x+300[/tex]

For the maximum price

[tex]\rm \dfrac{dP(x)}{dx} = 0\\[/tex]

Then we have

[tex]\begin{aligned} \rm -10x+300 &= 0\\\\\rm 10x &= 300\\\\\rm x &= 30 \end{aligned}[/tex]

Then the company charge for the product to generate the maximum profit is 30 dollars for each.

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A simple random sample of 90 is drawn from a normally distributed population, and the mean is found to be 138, with a standard deviation of 34. What is the 90% confidence interval for the population mean? Use the table below to help you answer the question.

Confidence Level
90%
95%
99%
z*-score
1.645
1.96
2.58

Remember, the margin of error, ME, can be determined using the formula mc021-1.jpg.
128.75 to 147.25
130.98 to 145.02
132.10 to 143.90
137.38 to 138.62

Answers

Using the z-distribution, it is found that the 90% confidence interval for the population mean is: 132.10 to 143.90.

What is a z-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.

In this problem, we have a 90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so the critical value is z = 1.645.

The other parameters are given as follows:

[tex]\mu = 138, \sigma = 34, n = 90[/tex]

Hence, the bounds of the interval are given by:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 138 - 1.645\frac{34}{\sqrt{90}} = 132.1[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 138 + 1.645\frac{34}{\sqrt{90}} = 143.9[/tex]

The 90% confidence interval for the population mean is: 132.10 to 143.90.

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A small refrigerator is a cube with a side length of 14 inches. Use the formula S = 6s2 to find the surface area of the cube.

Answers

Formula = 6s²

Surface area = 6 (14)² = 1176 in²

Answer: 1176 in²

Help I don’t know the answer to this question

Answers

So the x intercept is where y is 0 and x is on the x axis
y intercept, same thing, where x is equal to 0 and it's on the y axis
like the x-intercept would be: (-7,0)
y-intercept: (0,2)

spining a spinner that has 5 equal section marked 1 through 5 and landing on an evean number

Answers

Judging on how the only even numbers between 1 and 5 are 2 and 4. You would use a calculator and do 2÷5 and it will come out as .40 meaning 40%! So there is a 40% chance of landing on a even number! Hope I helped!

What fraction is equivalent to the repeating decimal 0.18

Answers

18/99 can be reduced, it becomes 2/11

Therefore the answer is 2/11!!

Hope this helps!!! :)

P.S. You can check it if you wish by dividing 2 by 11!

Let's begin by setting x equal to our repeating fraction

x=0.18181818...

The next step is a bit of a trick where we multiply by a power of 10 such that what remains to the right of the decimal is the repeating fraction itself, i.e.

100x=18.1818181818...=18+0.18181818...

which can be re-written

100x=18+x

taking x to the left-hand side we get

99x=18

and finally

x=18/99=2/11

Hope this helps!

Cereal companies often advertise with statements like "collect all 8 dinosaurs" or "one in each specially marked box." Assume that the company sells an equal number of boxes with each type of dinosaur. If you wanted to collect all eight dinosaurs, does this mean that you will only have to purchase eight boxes of cereal? This investigation will help you better understand how theoretical probability compares to experimental probability.

Here are your goals: Use a simulation to determine the experimental probability of a problem. Compare and contrast the theoretical probability with the experimental probability.

Answers

It is possible to get all 8 in one go. However, it is very unlikely because...

You have a 1/8 chance of getting the dinosaur you want from a box. That means obviously you are significantly more likely to get another less dinosaur. Which it likely won't have lasers and stuff. Which is always sad.

The theoretical probability is far less likely to actually happen than the experimental probability.

Eric goes for a walk every night after work. A map of the route has a scale of 1:20,000, in cm.
If Eric walked 1.2 kilometers on Monday night, how many cm is the route on the map?

Answers

We convert from km to cm.
1.2 km = 120 000 cm.
If the map is made on a scale of 1: 20,000, in cm
So we have to divide 120,000 / 20,000 to know how many centimeters that distance on the map is represented.
Finally the answer is 6 centimeters. That is, 1.2 km equals 6 centimeters on the map

Solve 120000/1+48e^0.015t=24e^0.055t

Answers

hi im so sorry but i don't know the answer to your problem

Find two square roots of 36.

Answers

[tex] 2\sqrt{36} = 2(6) = 12[/tex]

The answer above me is glitches on my screen, so I’ll answer as well. 6 and -6 are the square roots of 36

I need help trying to find the vertex y=2x^2 + 12x +26

Answers

In order to find the vertex, you first need to find the axis of symmetry- the formula is (A.O.S) x = \frac{-b}{2a}

So you would multiply 12 by -1 and get -12, then multiply 2 by 2 (a) and you should get 4.
In order to get the A.O.S, divide -12 by 4 = -3

Finally, plug in x (or the A.O.S)

Your equations should now look like this;
y = 2 (-3) ^2 + 12 (-3) +26
Solve each part separately and then add it up:
-3^2 = 9 * 2 = 18
12 * -3 = -36
and just 26

18 - 36 + 36
Vertex (or y) = 18

Rewrite in standard form and use this form to find the vertex (h,k)
(-3,8)

The equation above can be used to calculate the volume V, of a pyramid with a height h and base with length l and width w. If the volume of a pyramid is 81inches^3, and l=w=3h, what is the length of the base of the pyramid in inches?

Answers

Volume of a pyramid is V= lwh/3
You know
V=81
l=3h
w=3h

h=3
l=9
w=9

So length is 9 inches

Comment
The formula for a pyramid = (1/3) L * W * h The base in this case is square.

Givens
L = W
W =W
L = 3H
H = L/3 = (1/3L)
V = 81 in^3

Solve
V = 1/3 L * W * H
V = 1/3 L * L * 1/3 L
81 = 1/9 L^3 Multiply through by 9
81 * 9 = L^3
729 = L^3 Take the cube root of both sides.
cube root (L^3) = cube root (729)
L = 9 in

Write an inequality involving the variable x that describes the set of numbers graphed.

Answers

Since it does not include 0 in the inequality, nor does it include any numbers below 0, it must be [tex]\boxed{x\ \textgreater \ 0}[/tex].

how to graph (-3,4) ;m=6

Answers

[tex]m=6=\dfrac{6}{1}[/tex]

We have the point (-3; -4) in the coordinate system.

From this point we go 1 unit to the right and 6 units to the up.

We get the second point.

Draw a straight line.

Look at the picture.

A simulated game of chess is programmed between two computers. The game is supposed to be biased in favor of player B winning 4 out of 5 times. Which is the most suspicious set of outcomes of 30 games played between the two computers?

AABABBBABBBBBBBBABBBABBBBBBBBA

ABBABBAABBBBBABBBBBBBBBBBBBABB

ABBABABABABBABABABABABABABABAA

ABBABBBABBBBBBBBABBBABBBBBBBBB

Answers

Answer:

ABBABABABABBABABABABABABABABAA

Step-by-step explanation:

Player B is supposed to be winning 4 out of 5 times. This means that Player A is supposed to win 1 out of 5 times.

This means out of 30 games, player A should win roughly 1/5(30) = 6 times.

In the first list, player A wins 7.

In the second list, player A wins 6.

In the third list, player A wins 15. This is much different.

In the fourth list, player A wins 5.

From 9:00 AM to 12:00 PM, Linda's stock portfolio increased in value from $2,500 to $6,400. If Linda's portfolio continues to grow at this rate, how much will it be worth at 2:30 PM?

Answers

9:00am - 12:00pm = 3 hours
$6,400-$2,500=$3,900
$3,900/3= $1,300 per hour
12:00pm - 2:30pm = 2.5 hours
$1,300 x 2.5= $3,250
$6,400 + $3250 = $9,650

What is the volume of a cube with an edge length of 3.2 meters?

Enter your answer as a decimal

___ cm^3

Answers

Volume of a cube is Side to the third power ( S^3)

S = 3.2 meters

Volume = 3.2^3

Volume = 32.768 cubic meters (cm^3)

You may need to round the answer.. The problem doesn't say how many decimal places are needed.

Hello!

To find the volume of a cube you use the equation

[tex]V = a^{3} [/tex]

a is side length

Put in the values you know

[tex]V = 3.2^{3} [/tex]

Cube the number

V = 32.768

The answer is 32.768 cubic centimeters

Hope this helps!

The vanishing point of the picture is represented by point B.

A) The measure of angle ABD is is 6.2 times greater than the measure of angle CBD. Find the measure of angle CBD.

B) Angle FBE and angle EBD are congruent. Find the measure of angle FBE.

Answers

A) Angles ABD and CBD are supplementary, so you have ...
∠ABD + ∠CBD = 180°
6.2(∠CBD) + ∠CBD = 180°
7.2(∠CBD) = 180°
∠CBD = 180°/7.2
∠CBD = 25°

B) Angles EBD and CBD are complementary, so you have ...
∠FBE = ∠EBD = 90° - ∠CBD
∠FBE = 90° - 25°
∠FBE = 65°

Final answer:

To solve this, we use the fact that angles around a point add up to 360 degrees and angles on a straight line add up to 180 degrees. This allows us to find angle CBD to be 50 degrees and angle FBE to be 130 degrees.

Explanation:

The subject of this question is geometry, specifically it deals with the properties of angles around a point. In the first part of the question, we are told that angle ABD is 6.2 times greater than angle CBD and we are asked to find the measure of angle CBD. As the total angle around a point is 360 degrees, we can set up the equation ABD + CBD = 360. Given that ABD = 6.2 * CBD, we can replace ABD in our equation, resulting in 6.2* CBD + CBD = 360, solving this gives us CBD = 360/7.2 = 50 degrees.

In the second part of the question, we're told that angle FBE and angle EBD are congruent. This means they have the same measure. Since angle EBD is adjacent to angle CBD and they form a straight line together, their measures add to 180 degrees. Since we already found angle CBD to be 50 degrees, thus angle EBD (or FBE) is 180 - 50 = 130 degrees.

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how many 1 cup servings can be poured from 1 gallon of milk?

Answers

There are 16 cups in a gallon.

16 cups Can be poured from 1 gallon of milk

Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy spends $10.50 to make 5 pounds of trail mix. He uses the table below to organize this information. Which equation can Jeremy use to determine the amount of raisins in the trail mix?
a.r + 1.50 = 1.5r
b. r + (5 – r) = 5
c. 1.5r + 2.5(5 – r) = 10.50
d. 1.5r + 2.5(5 – r) = 5

Answers

Answer:

Option C.

Step-by-step explanation:

Let Jeremy mixes "r" pounds of raisins to make a trail mix.

As the total weight of trial is = 5 pounds

So weight of peanuts in the trail mix will be = (5 - r )

Now cost per pound of raisins = $1.50

so cost of r pounds of raisins = $1.50(r)

Cost of the peanuts = $2.50 per pound

so cost of (5 - r) pounds peanuts = $2.50(5 - r)

Jeremy spends total amount = $10.50

So expression will be

Cost of Raisins + cost of peanuts = cost of trail.

1.5r + 2.5(5 - r) = 10.50

Option C. is the answer.

Nora created a flag that was shaped by the triangle below.

'\
' \
5in. ' \
' \
'-----------
12in

What is the measure of the third side of the triangle?
A.13in
B.14in
C.17in
D.16in

Answers

The answer is a. 13in

if d=2, what is the value of 8/(4-d)

Answers

the answer is 4 because of PEMDAS P=Parenthesis E= exponents M=Multiplication D=Division A=Addition S=Subtraction so P is first substitue d for 2 so now its 8/(4-2) (4-2)= 2 so now its 8/2. So 2 goes into 8 4 times and your answer is 4

The value of the expression 8/(4-d) when d = 2 is 4.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

We have the expression,

8/(4-d)

And here, d = 2.

Substituting the value of d to the expression,

8/(4-d),

= 8/(4-2)

= 8/(2) {using simple division}

= 4

Therefore, 4 is the value of the expression.

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How to solve these kind of questions.

Answers

to solve those you need to FOIL or rainbow the distributive property

hope this helped

Name the algebraic property that is being shown in the example: 4(x+3) = 4x + 12

Answers

The property you use to get from 4(x + 3) to 4x + 12 is the distributive property.

NEED HELP!!!
Jamie was surveying students about their use of the new computer lab in a school. Which question in the survey is a STATISTICAL QUESTION?

A.) How qualified is the trainer at the computer lab?
B.) Where is the computer lab located in the school?
C.) What is the number of learning stations at the computer lab?
D.) How many class projects did you complete using the computer lab?

Answers

D. If you ask the amount of projects completed using the computer lab you are asking a statistical question. Hope this helps!

Answer with explanation:

To know the use of Computer Lab in the School

A Survey has been done.Out of the four Question asked,

The education of the trainer in the computer Lab does not come into consideration,to know the use of computer lab in the school, the use of computer lab can be known only by whether students are getting well versed with Computer and it's applications or not.

Number of Learning Stations in the computer lab, also can't tell the use of computer Lab in the school, because we have to check knowledge of the students about computers to know the better use of the Lab.

So, number of Class projects, or in my own words A test on computer awareness and It's software tools will be a better survey Question.

Option D is the question in the survey is a STATISTICAL QUESTION.

(D) How many class projects did you complete using the computer lab?

On a map with a scale of 2 cm = 1km, the distance from Beau's house to the beach is 4.6 centimeters. What is the actual distance?

Answers

So the given is 4.6 cm and you're trying to find the amount of km.
GIVEN: 2 cm = 1 km
4.6/2 = 2.3 km

2.3

since 2 cm=1k you divide by 2

Can you find the measure of angle PVQ for 30 points?

Answers

First find the measure of x.
12x + 3x = 90
15x = 90
x = 6

Plug in x into ∠PVQ, which is 12x.
12(6) = 72

m∠PVQ = 72°

∠PVQ + ∠QVR = 90° (complementary angles)
⇒ 12x + 3x = 90

12x + 3x = 90

Combine like terms:
15x = 90

Divide both sides by 15:
x = 6

Find ∠PVQ :
∠PVQ = 12x = 12 x 6 = 72°

Answer: ∠PVQ = 72°

susan surveys 20 people in her math class to find out the most popular movie. 5 students say star wars if the are 200 students in the total 7th grade using a proportion find out how many students susan would expect to like Star Wars

Answers

5 out of 20 like Star Wars so what value (x) should like Star Wars out of 200. Set up a proportion comparing the two.

x= # of people in 7th gr who like Star Wars

5 out of 20= x out of 200
5/20= x/200
cross multiply

(5*200)= (20*x)
1000= 20x
divide both sides by 20

50= x

ANSWER: 50 people in the 7th grade should like Star Wars.

Hope this helps! :)

Answer:

50 people

Step-by-step explanation:

please rate and thank

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