- Postage Rates class letters weighing 3.5 oz or less is 49 cents for the first ounce (or less), plus 21 cents for each additional ounce (or part of an ounce). Express the postage P as a piecewise defined function of the weight x of a letter, with 0

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Q: A machine produces open boxes using square sheets of metal measuring 12 inches on each side. The…

A: Side of square sheet=12 incheslength of the square cut-out=x inchesSo ,     length of box=12-2x…

Q: an open box with a square base is to be made from a square pece of cardboard 18 incheson a side by…

A: a Let V is the volume of the box ,   V= length x breadth x height=18-2x18-2xx × ⇒ V=18-2x2 x ⇒…

Q: In 2007, the enrollment at Mainland Highschool was 1480 students. Administrators predict that the…

A: NOTE: Refresh your page if you can't see any equations. . In 2007, the enrollment at Mainland High…

Q: A taxi company in Missouri charges a flat rate of $7.00 for the first ¾ mile, then a rate of $0.80…

A: Given that: Flate rate =$7.0 for the first 3/4 mile.Additional rate of $0.80 /mile for distance…

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A: Maxima and minima: The peaks and valleys in a function's curve are called maxima and minima. A…

Q: A taxi company charges $2.00 for the first mile (or part of a mile) and 20 cents for each succeeding…

A: Given, the charge for first mile is $2.00 and 20 cent for succeeding tenth mile. Find each rule of…

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Q: A rectangle has a perimeter of 40 cm. Express the area of the rectangle as a function of the length…

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Q: A community bird-watching society makes and sells simple bird feeders to raise money for its…

A: We first find equation for profit.

Q: The growth of a red oak tree is approximated by the function G - -0.0033 + 0.139t2 + 0.459t- 0.838,…

A: You have posted multiple questions. As per the instruction, we will be answering only the first two…

Q: f exactly 200 people sign up for a charter flight, Lesiure World Travel Agency charges $300 per…

A: Given that X denote the number of passenger above 200.   200 people sign up for a charter flight,…

Q: are a crew at 7/11 convenience store that pays an hourly wageP30.00 and 1.5 time the hours wage for…

A: Given that you are a crew at 7/11 convenience store. For a given week.             The payment P for…

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Q: A salesperson makes a base salary of $1000 per month. Once he reaches $10,000 in total sales, he…

A: I am attaching image so that you understand each and every step.

Q: n being 40 above and 40 below the average during the year, it reaches its lowest value in January.…

A: 1] The frogs oscillates between being 40 above and below  2] The average during the year= 40 3]…

Q: A community bird-watching society makes and sells simple bird feeders to raise money for its…

A: (a) Let x be the price per feeder which is the selling price and p be the profit.Number of feeders…

Q: Explain why the function is discontinuous at the given number a. Sketch the graph of the function.…

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Q: A cell phone company offers the followings plan: Monthly charge (which includes 400 minutes) for $30…

A: Let x represent the total number of minutes used in a month. Let C(x) represent the total cost of…

Q: During a nine-hour snowstorm, it snows at a rate of 2 inches per hour for the first 3 hours, at a…

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Q: A A train that takes passengers from downtown back home to the suburbs makes 5 stops. The maximum…

A: Sketch the graph of speed versus time from the given data.

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A: Given :            Let x be the number of $1 increases in the price.  Then the price charged per…

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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A: Given query is to find the maximum height.

Q: The area of a sheet of paper is 93.5 square inches. a. Find the remaining, visible area of the sheet…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: The eider duck, one of the world's fastest flying birds, can exceed an airspeed of 65 miles per…

A: i) Given that the distance = 150 miles. Average airspeed of the duck = 50 miles/hour. Let the…

Q: 7. If exactly 100 people will sign up for a local flight, the airline will change P 3,000.00 per…

A: The given no. Of people is 100 and the charge is 3000 per person. If more than 100 people sign up,…

Q: A community bird-watching society makes and sells simple bird feeders to raise money for its…

A: Given: The materials for each feeder cost = $5 The society sells an average of 20 per week at a…

Q: taxi company charges $1.00 for the first mile (or part of a mile) and 10 cents for each succeeding…

A: A taxi company charges $1.00 for the first mile and 10 cents for each succeeding tenth of a mile.…

Q: The 2014 domestic postage rate for first-class letters weighing 3.5 oz or less is 49 cents for the…

A: We have to find the function and its graph.

Q: Brian and Casey's babysitter charges a base fee of $12 and then $5 per hour for each hour of…

A: Brian and Casey's babysitter charges a base fee of $12 and then $5 per hour for each hour of…

Q: From a rectangular piece of cardboard having dimensions a × b, where a = 10 inches and b = 20…

A: The rectangular piece of cardboard is as shown below,

Q: A rancher wants to build a rectangular pen with an area of 100 m2. (a) Find a function that models…

A: Area is 100 square m. Formula of area area= length times width

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Q: You want to make an open box from a rectangular piece of material, 15 centimeters by 9 centimeters,…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A certain city's population has been in decline since 2010, at which time its population was…

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Q: A school’s fair committee wants to sell t-shirts for their school fair. They found a supplier that…

A: The function for the word problem can be written using the information. Consider the unknown as a…

Q: unction: fx + 2, if x 0 fx + 1, if x -1 b) f(x) =

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Q: An employee at a garden center fills a water tank once a day to a height of 20 inches. The function…

A: given M(x)=5 x3

Q: RyAnne has 8 coins and decided to begin a collection.    On the first day of collecting, she has…

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Q: A salesperson makes a base salary of $50, 000 a year plus 4% commission on all sales up to (and…

A: If x is less than $275000, then the commission= 0.04x So the total salary= 0.04x+50000   If…

Q: Alice invests $7000 in two certificates of deposit; the interest on the first certificate is 8%, and…

A: Total amount invested by Alice is 7000 Interest on first certificate is 8%=0.08 Interest on second…

Q: An advertiser goes to a printer and is charged $37 for 50 copies of one flyer and $49 for 238 copies…

A: Given: An advertiser goes to a printer and is charged $37 for 50 copies of one flyer and $49 for 238…

Q: 88. A cell phone plan charges $49.95 per month plus $14.02 in taxes, plus $0.40 per minute for calls…

A: If the usage is less than or equal to 600 minutes.Then charges is (49.95+14.02)=$63.97

Q: 4. A Zumba instructor charges according to the number of participants. If there are 15 participants…

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Q: During a nine-hour snowstorm, it snows at a rate of 2 inches per hour for the first 4 hours, at a…

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Q: An agency charges $100 per person for a trip to a concert if 50 people travel in a group. But for…

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Q: Sketch the graph of each function by transforming the graph of an appropriate function of the form y…

A: Solve for the graph

Q: A new dot.com business began with an initial stock offering of $4,000. At the end of the first year,…

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Q: Brian and Casey's babysitter charges a base fee of $13 and then $7 per hour for each hour of…

A: Base fee is $13 and $7 per hour for each hour of babysitting. The function is, fn=Base fee+cost of…