Problem 2

An online retailer advertises the following shipping and handling fees for every order:


Order Amount ($)

0 – 49.99

50 – 75.99

76+

Shipping and Handling ($)

3.95

11.95

5.95


The sales tax in Arizona on online orders is 5.6%. Use this information to answer the following questions.

**Assume that the shipping and handling is added after the sales tax is applied to the order.

Part a)

Using the information above, write an equation that represents the total cost as a function of the order amount in a customer’s “cart”. (Remember: Identify your input and output variables, and use proper notation – I recommend you handwrite your function and add a picture in to this document)



Part b)

Genevieve, who lives in Prescott, has a cart total of $74.50. How much will her total cost be? (Remember: Show all your work for full credit)


Part c)

Rafael, who lives in Tucson, paid $89.20 for his items. How much was his cart total? (Remember: Show all work, and make sure you get all of the answers)

Answers

Answer 1

Answer:

Let the 'cart' total is x and total payment is y.

The sales tax is 5.6% added to the 'cart' amount and then shipping and handling fee added.

Part A

There are three intervals as below and function added accordingly:

0 < x ≤ 49.99      ⇒ y = x + 5.6% + 3.95 = 1.056x + 3.9550 ≤ x ≤ 75.99    ⇒ y = x + 5.6% + 11.95 = 1.056x + 11.95x ≥ 76                  ⇒ y = x + 5.6% + 5.95 = 1.056x + 5.95Part Bx = 74.50, this falls in the second intervaly = 74.50*1.056 + 11.95 = $90.62 (rounded )Part C

y = 89.20, this is close to the number we got in part B and we assume it is same - the middle interval.

89.20 = 1.056x + 11.951.056x = 89.20 - 11.951.056x = 77.25x = 77.25 / 1.056x = 73.15 (rounded )

-----------------------------------------

Note. Shipping and Handling charges seems incorrectly ordered. If so the answers above all should change accordingly.

Related Questions

The area of a triangle varies jointly with the lengths of its base and height. A triangle with a base of 10 ft and a height of 4 ft has an area of 20 square ft. Find the area of a triangle with a base of 3 ft and a height of 8 ft.

Answers

Answer:

12 square ft

Step-by-step explanation:

base = 3ft. and height = 8ft. area of triangle = 1/2 ×base × height = 1/2 ×3 × 8 = 24 /2 = 12 square ft.

MARK ME AS BRAINLISTPLZ FOLLOW ME

PLZ, HELP WILL GIVE 20 MORE POINTS FOR FREE!!!!!!

Answers

Answer:

16x+12

Step-by-step explanation:

4 sides

2*(5x-2 )

10x-4

2(3x+8)

6x+16

10x-4+6x+16=16x+12

Answer:

3+8=x

Step-by-step explanation:

then 5-2=x  multiply and you get 15+16

Knowing that 6 × 7 = 42, we know that 42 ÷ 7 = ___

Answers

Answer:

Knowing that 6 × 7 = 42, we know that 42 ÷ 7 = 6

Step-by-step explanation:

Sorry but its very simple question you need to try to do it by yourself

Answer:

6

Step-by-step explanation:

By understanding the relationship between multiplication and division we can positively say that since 6 × 7 = 42, we know that 42 ÷ 7 = 6.

A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of ​23$. Option B is a commission rate of ​4% on weekly sales. How much does she need to sell this week to earn the same amount with the two​ options?

Answers

Answer:

maybe 17% as u look at the question u will understand

I think the answer is $575

I did:

40 x $23 = $920 to get the weekly amount for option A.

She needs to sell $575 to earn the same.

Because if you do

575 x 4/100 you get $23

Else purchased a prepaid phone card for $15. Long distance calls cost 6 cents a minute using this card. Elsa used her card only once to make a long distance
cal. If the remaining credit on her card is $13.50, how many minutes did her call last?

Answers

Answer:

25 minutes

Step-by-step explanation:

First you subtract the original amount on the card from the remaining amount left.

So you can get the amount of money spent on that call.

$15 - $13.50 = $1.50

Then you divide that number by how much it cost per minute.

$1.50 ÷ 6 = 0.25

Then you get your answer!

She was on the phone for 25 minutes

what is the solution to 5(4x-1.5x)+12-2

Answers

Answer:

12.5x+10

Step-by-step explanation:

I'm assuming that you want to simplify this, because there is no equal sign.

If you want to simplify, first combine like terms.

First solve the first half of the equation: 20x-7.5x=12.5x

Now solve the second half of the equation: 12-2=10, so we have 12.5x+10.

That's your answer: 12.5x+10

Answer:

x = 0.8

Step-by-step explanation:

Your equation is 5(4x - 1.5x) + 12 - 2. Simply, you have to solve for x.

First, you have to do distributive property. 5 x 4 and -1.5 (1.5 is negative as I plus-minus.) This will now lead you to have the equation 20x + -7.5x + 12 - 2.

Next, you subtract 12 - 2. Then add 20x + -7.5x. Your equation should be 12.5x = 10.

Since you want x by itself, you will divide all by 12.5 in which 10 divided by 12.5 is 0.8. So your final answer is

x = 0.8

6.
Suppose that a new class is opened for enrollment and currently
has 7 students. Is this class an outlier if it is added to the data set?

Answers

Answer:

no

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

15 POINTS! GIVE REAL ANSWERS PLEASE. HELP WOULD BE MUCH APPRECIATED THANKS!
Which algebraic expression does this model represent?

*IMAGE LINKED*

4x+16

4(x+3)

x+34

-4(x+3)​

Answers

Answer:

It would be 4(X + 3)

Step-by-step explanation:

There are 4 Xs and 12 ones, so the equation is 4X + 12 or 4(X + 3).

If you toss five fair coins, in how many ways can you obtain at least one head?
Select one:
a. 15
О
b. 31
O
c. 16
d. 32

Answers

Answer:

31

Step-by-step explanation:

Plz mark brainliest :D

I have my main hopes on 31 :D good luck

Mr. Arnold's class children make hand prints in the round clay mold for their parents the mall has a diameter of 12 cm what is the molds radius

Answers

Answer:

6

Step-by-step explanation:

the radius is half of the diameter

hope this helped :)

1. A square is altered so that one dimension is
increased by 7 meters and the other dimension
is increased by 4 meters. If the area of the
resulting rectangle is 108 square meters, find the
area of the original square.

Answers

The dimension of a square is altered so that one dimension Is increased by 7 feet While the other is decreased by 2 feet The area of the resulting rectangleIs 90 feet with a 2 up top what is the original squareArea of the square I will tell you the answer right now it is going to beA= 64 feet with the two up top

solve for each quotient 2 1/2+7 1/3​

Answers

9.833333333333333333333

The quotient of the given fractions is 9/44.

Given that, [tex]1\frac{1}{2}\div 7\frac{1}{3}[/tex].

How to divide the fractions?

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

The given mixed fractions can be written as, [tex]1\frac{1}{2}=\frac{3}{2}[/tex] and [tex]7\frac{1}{3}=\frac{22}{3}[/tex]

Now, 3/2 ÷ 22/3

=3/2 × 3/22

=9/44

Therefore, the quotient of the given fractions is 9/44.

To learn more about the fractions visit:

https://brainly.com/question/10354322.

#SPJ2

A man earns $1500 a week. He saves $500. What percentage did he spend?

Answers

Answer:

3313%

Step-by-step explanation:

He spent 66.67%. Check below for reference:

Pls help I’ll brainlest ASAP

Answers

Ok so 36-12=24 and 24 divided by 3 (the triplets) is 8 would mean they are all 8. :) I’m not sure about all of the blanks though :/ sorry

Compare the fractions using >, < or=.
9/10 and 78/100

Answers

Answer:

9/10 > 78/100

Step-by-step explanation:

We can make 9/10 into 90/100, and since they now have the same denominator (Bottom number in fraction), we can now compare the numerators (Top number in fraction). 90 is greater than 78 so we can say that 9/10 > 78/100 (9/10 is greater than 78/100).

The two triangles below are similar. What
is the perimeter of triangle XYZ?

Answers

Answer:

24

Step-by-step explanation:

6 ÷ 15 = 0.4

X to Y = 20 × 0.4 = 8

Y to Z = 25 × 0.4 = 10

Perimeter: a + b + c

6 + 8 + 10 = 24

Even I am surprised by what I wrote. Hopefully, it is right and helps you ^-^ Please comment if you have any questions.

Need someone’s help please.

Answers

Answer

220

Step-by-step explanation:

11•10=110

110•2

220

Answer:

440miles

Step-by-step explanation:

She drove 11 miles to school and 11 miles back in the morning = 22 miles

She drove 11 miles to school and 11 miles back in the afternoon = 22 miles

Combined, the total for one day is 44.

For ten days, multiply 44 by ten to get 440 miles.

Ryan's unpaid credit card balance was $1853.68. His APR is 24.9%. What is his new balance after he makes one new transaction for $178?

Answers

Answer: 2070.14

Step-by-step explanation:

Slide the decimal for 24.9 and get 0.249

1853.68 × 0.249 ÷ 12 = $38.46

you have 0.249 as the monthly rate which means dividing it by 12 is a key to your answer

$1853.68 +38.46 + 178.00 = $2070.14

Five higschool friends all happen to be female born in 2003 assuming that the survival of each ine is independent what is the proablity that at least one lives to be 100 year old

Answers

Answer:

15%

Step-by-step explanation:

Factor as the product of two binomial X^2-100=

Answers

Answer:

x^2 - 100 = (x + 10) * (x - 10)

Step-by-step explanation:

Recall that 100 is the perfect square of 10:

10^2 = 100

then we can use the formula for factorization of a difference of squares:

x^2 - 10^2 = (x + 10) * (x - 10)

Maria correctly concluded that not enough information was provided to construct the requested proof. What extra information would allow Maria to contrast the proof? SA=TR. RS= ST. ASCT is similar to ASCA. SC=5/2BR

Answers

Answer:

Hello your question is incomplete attached below is the complete question

answer: RS = ST ( option b )

Step-by-step explanation:

First we consider Δ SCA and Δ TCB

∠ SCA  = ∠ TCB  ,  ∠CAS = ∠CBT = 90°

if we assume  RS = ST then ΔSRT will be termed an Isosceles triangle with its legs : SR = ST. also vertex S bisects the base of the triangle.

Δ SBR ≅ ΔSBT  from here we can deduce that ; BR = BT

From the assumptions what is actually missing to contrast the proof is : RS = ST

Linear equations -5(-5x+3)-5x+5=-50

Answers

Answer:

x=-30

Step-by-step explanation:

25x+15-5x+5=-50

20x+10=-50

20x+10-10=-50-10

2x=-60

x=60/2

x=-30

Hope it helps!

(I tired hard:))

Find the value of x in the triangle shown below.
5
12
Choose 1 answer:
x = 60
= V119
= 13
= 17

Answers

X will be equal to 13

You can afford 1,100 per month monthly mortgage. You've found a 30 year loan at 7% interest.
How much total money will you pay the loan company?
How much of that money is interest?

Real answers only please

Answers

Answer:

These days — with conventional mortgage rates running about 4% — a $1,000 monthly Principle & Interest (P&I) payment gets you a 30-year loan of about $210,000. Assuming a 10% downpayment, that's a $235,000 home

i think this is a similar answer please try to answer this question by the help of this...

The following probabilities are based on data collected from U.S. adults. Individuals are placed into a weight category based on weight, height, gender and age.

Underweight Healthy Weight Overweight (not Obese) Obese
Probability 0.017 0.377 0.343 0.263

Based on this data, what is the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) range?

Answers

Answer:

the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) is 0.394

Step-by-step explanation:

  Given the data in the question;

                Underweight   Healthy Weight    Overweight (not Obese)    Obese

Probability       0.017              0.377                        0.343                          0.263

so

P( underweight) = 0.017

P( Healthy Weight) = 0.377

P( Overweight (not Obese) ) = 0.343

P( Obese ) = 0.263

now, the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) range will be;

P( weigh less than overweight(but not obese) =  P( underweight) + P( Healthy Weight)

P( weigh less than overweight(but not obese) = 0.017 +  0.377

P( weigh less than overweight(but not obese) = 0.394

Therefore, the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) is 0.394

jackie bought 15 cookies for $3 . How much will she have to pay for 35?

Answers

Step-by-step explanation:

15=3

35=x

15x=3×35

x= 3×35÷15

x=105÷15

x=7

If cos x= sin(20 + x)° and 0° < x < 90°, the value of xis

Answers

Answer:

draw a right angle triangle

Step-by-step explanation:

Let one of the angles be A  

cos A = sin (90-A)  

90 - x - 20 = x  

2x = 70  

x = 35 degrees

Alice has 60 marbles. Forty five are red and the rest are black. what is the ratio of the number of black marbles to the number is f red marbles? ​

Answers

15: 45 or 15 to 45 :)

Answer:

15:45 (or 15 to 45)

Step-by-step explanation:

what is the equation of a straight line that is parallel to the line 4y=3x+5

Answers

Answer:

4y+5=3x, 4 y + 5 = 3 x .

Step-by-step explanation:

Please give thanks to all my answers and please mark as brilliant and please follow me

Step-by-step explanation:

hope it's going to work

The first equation of a system of equations is y = -3x + 2. The graph of the system has no solution. Write a possible second equation for the system.

Answers

Answer:

see below.

Step-by-step explanation:

For a system of equation to not have a solution, the pair of lines will never intersect. For two lines to never intersect, their slopes will be parallel.

The second equation can be as simple as y = -3x.

The only equation it cannot be with a slope of -3 is y = -3x + 2. This is because that is the same equation and will therefore have an infinite number of solutions.

Other Questions
A computer store bought a program at $10 and sold it at a selling price of $12 find the percent makup Jenna's profit for selling 38 felt ornaments is $104.50. Suppose Jenna keeps track of the number of sales (x) and profit(y) on a graph. Which statements are correct? Pls help Ill brainlest ASAP If a 2 kg ball is moving at 6 m/s to the right and then hits a wall and bounces back at - 4 m/s (left), what is the change in momentum (in kg*m/s)? The area of a triangle varies jointly with the lengths of its base and height. A triangle with a base of 10 ft and a height of 4 ft has an area of 20 square ft. Find the area of a triangle with a base of 3 ft and a height of 8 ft. How many molecules of carbon dioxide are produced from the process of cellular respiration of one glucose molecule? Factor as the product of two binomial X^2-100= Which event increases the amount of dissolved oxygen in the ocean water?A. El NinoB. La NinaC. spring tidesD. Neap tides anglesBDThe AAS Triangle Congruence schTheorem can be used to show that ABE CDEChoose...Vertical AnglesAlternate Interior AnglesAAS Triangle CongruenceSSS Triangle Congruence help!!!!!!!!5x^2 - 35x+50/x^2-x-20also here is something cute.......... a munchkin cat You can afford 1,100 per month monthly mortgage. You've found a 30 year loan at 7% interest. How much total money will you pay the loan company?How much of that money is interest?Real answers only please Of the (4) goals in Hinduism, the _________ goal for Hindus is striving for well-being and earning a livelihood with dignity. Quin est compitiendo en Paraguay? Find the main idea of this text Manson still wasn't connected to the Tate-LaBianca murders until family member Susan Atkins, who'd confessed to being connected to the Hinman murder, told other women in jail that she was involved in the two massacres. Suddenly, the evidence started to make more sense. All of the family members who'd participated in the murders were already in jail it was simply a matter of building the case against them. violet Baudelaire being protective of her siblings quotes Which statement accurately describes the essay portion of the SAT?O A Essays are always based on a published work, and the questionitself does not change from test to test.O B. Essays are scored on content but not grammar because studentshave so little time to write.O C. While the essay is optional, all colleges require that applicantstake itD. Students' outlines are factored into their overall essay score. If cos x= sin(20 + x) and 0 < x < 90, the value of xis PLEASE HELP which situation is an example of a person making use of credit? A. a college student buys a car with money she made working a summer job.B. an athlete borrows money from a bank to buy an expensive workout machine.C. a teacher puts his weekly paycheck into a savings account at a local bank.D. a farmer sells most of her crops to customers who live in other countries. como se elabora una Noticia?plz aydenme :( hiii please help ill give brainliest if you give a correct answer :)