1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hjlf
3 years ago
8

Problem 2

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
8 0

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.

<h3>Part A</h3>

<u>There are three intervals as below and function added accordingly:</u>

  • 0 < x ≤ 49.99      ⇒ y = x + 5.6% + 3.95 = 1.056x + 3.95
  • 50 ≤ x ≤ 75.99    ⇒ y = x + 5.6% + 11.95 = 1.056x + 11.95
  • x ≥ 76                  ⇒ y = x + 5.6% + 5.95 = 1.056x + 5.95
<h3>Part B</h3>
  • x = 74.50, this falls in the second interval
  • y = 74.50*1.056 + 11.95 = $90.62 (rounded )
<h3>Part C</h3>

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 + 11.95
  • 1.056x = 89.20 - 11.95
  • 1.056x = 77.25
  • x = 77.25 / 1.056
  • x = 73.15 (rounded )

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

  • <em>Note. Shipping and Handling charges seems incorrectly ordered. If so the answers above all should change accordingly.</em>
You might be interested in
What is f(-2) of the function given below? *<br> f(x) = 3x2 - 4x + 1
slava [35]

Answer:

f(-2) = 21

Step-by-step explanation:

Step 1: Define

f(x) = 3x² - 4x + 1

f(-2) is x = -2

Step 2: Substitute and Evaluate

f(-2) = 3(-2)² - 4(-2) + 1

f(-2) = 3(4) + 8 + 1

f(-2) = 12 + 9

f(-2) = 21

5 0
3 years ago
Martina's fish tank has 15 liters of water in it. She plans to add 5 liters per minute until the tank has at least 55 liters. Wh
Black_prince [1.1K]

Answer:

every 5 minutes ....

Step-by-step explanation:

3 0
3 years ago
Suppose you hit a fly ball with an initial upward velocity of 20 feet per second. Which of the following equations would be a re
baherus [9]
A=g≈-32

v=⌠a dt  since a≈-32

v=-32t+C, where C is the initial velocity, which we are told is 20 ft/s

v=-32t+20

h=⌠v dt

h=-32t^2/2+20t+C, where C is the initial height, so what is a reasonable initial height?  How about 3 ft since we are swinging a bat around maybe our waist level... maybe :P

h=-16t^2+20t+3

Your choices may have made a different assumption about the initial height of course but you did not show your choices, but certainly it will be:

h(t)=-16t^2+20t+hi, where hi is the initial height in feet.

This of course ignores air resistance and flight dynamics of a spinning ball with seams, which will make a significant difference in real life :)
3 0
3 years ago
Read 2 more answers
John bikes 22 km per hour and starts at mile 10. Gymn bikes 28 km per hour and starts at mile 0. Which system of linear equation
leonid [27]

Answer:

Step-by-step explanation:

The following are linear equations for the distance that John has biked (J) and the distance that Gymn has biked (G). These two equations represent the situation being described using the values provided.

J = 22x + 10

G = 28x + 0

In these equations the variable x represents the number of hours each of the bicyclists have biked.

7 0
3 years ago
Simplify the expression -3(x+3)-3+3x into standard form
timofeeve [1]
That in standard form would be 12
6 0
3 years ago
Other questions:
  • 35% of a number is 17. Work out the number.
    13·1 answer
  • Roberto’s cat weighed 6 3/4 pounds last year.Then the cat gained 1 1/2 pounds.How much does the cat weigh now?
    14·1 answer
  • 1. A new ice cream shop is opening up and the owners are making a large ice cream cone for display What is the volume of the ice
    8·2 answers
  • 19.25 tons=_______lbs. Show work
    11·2 answers
  • Find the measure of side a
    10·1 answer
  • Which pairs of rectangles are similar? Explain how you know.
    14·1 answer
  • If 50% is 100 what is 25%, 75%, and 100%​
    8·1 answer
  • Help pleaseee easy math with red blue cards
    6·1 answer
  • Given the points (-9, 8) and (4, -1), find the rate of change between the points.
    14·1 answer
  • Drag and drop an answer to each box to correctly complete the explanation for deriving the formula for the volume of a sphere
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!