7. A computer shop charges 20 pesos per hour (or a fraction of an hour) for the first two hours and an additional 10 pesos per hour for each succeeding hour. Represent your computer rental fee using the function R(t) where t is the number of hours you spent on the computer.

Q: The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given…

A: answer is in next step

Q: Assume that it costs that same company approximately C(x)=71,230++6,670x+0.03x^2 dollars to…

A: Given data-  C(x)=71,230+6,670x+0.03x^2. We have to find the average cost function= C¯(x).

Q: A company has identified that the revenue R for a particular product is given by the function f(x) =…

A: topic - application of derivatives

Q: Consider the Cobb-Douglas Production function: P(L, K) = 13L0.9K0.1 Find the total units of…

A:

Q: Assume that it costs that same company approximately C() =67,822+4,195x+0.05x2 dollars to…

A: Given,          The cost function is Cx=67822+4195x+0.05x2 dollars to manufacture x of…

Q: itially contained 8000 L of pure water. The resulting concentration of the solution in the tank can…

A: In the given question, concept of limit on maximum concentration is applied and asymptote is clearly…

Q: A company has found that total sales, in thousands of dollars, are given by the function defined by…

A: Given, Sx=100 log2x+2a Let x = 5 and find S6S6=100 log25+2        =100 log27        =280.74Thus, The…

Q: a. Find the inverse of the function ƒ(x) = mx, where m is a constant di«erent from zero.b. What can…

A: To find :   a) The inverse of the function f(x) = mx, where m is a constant different from…

Q: 2. The average cost (in dollars) per mile for riding a miles in a cab is c(x)=2.5+2z As x gets…

A: Given that: c(x)=2.5+2xx

Q: An open-top box with a square base is to be constructed by taking a 42 by 42 square piece of…

A:

Q: The number N of cars produced at a certain factory in 1 day after t hours of operation is given by…

A: Given problem:- The number N of cars produced at a certain factory in 1 day after t hours of…

Q: The Ministry of Finance in Paradise Island determined that the import demand for Cognac is related…

A: C(x) = import demand of cognac or percentage of normal consumption of cognac x     =  luxury tax in…

Q: The magazine Scientific American released a study of data analysis on how quickly children are able…

A: The function P(t) represents the percentage of children who can speak in at least single words by…

Q: A long distance company charges a monthly fee of $4.95 and $0.02 per minute. Let f(x) be the monthly…

A: Solution:

Q: Your automobile assembly plant has a Cobb-Douglas production function given by q = x0.4y0.6…

A: Annual operating costs amount to an average of $20,000 per employee plus the operating budget of…

Q: 9. Determine the coordinates of a point(s) that do not change between the original and the…

A: Given that: f(x)=-x2+5

Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

A: The given function for the revenue from sale of x no. of car seats for infants is R(x)=28x-0.010x2…

Q: 3. Suppose that, in a given gourmet food store, people are willing to buy x pounds of chocolate…

A: Given :         The price - demand equation is          x = 10 + 180p  , 2 ≤ p ≤ 10   To find :…

Q: The demand function for a certain make of exercise bicycle sold exclusive through cable television…

A:

Q: 1. Determine, to the nearest tenth, the instantaneous rate of change of the function f (x) = 4x³ –…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 9. Find the point of diminishing returns (x, y) for the function R(x) = 11,000 – x + 42x² + 800x,…

A: We have to identify the point of diminishing return for the input-output function. For each…

Q: 18. Suppose that a company produces and sells bicycles and that the start-up cost is $3000 and $75…

A:

Q: DA manufacture has been selling 1200 television sets a week at $540 each. A market survey indicates…

A: Given that: Price at which manufacturer sells 1200 television sets per week = $540 For $12 rebate,…

Q: Suppose the total cost C(x) (in dollars) to manufacture a quantity x of weed killer (in hundreds of…

A:

Q: Consider the following function, where R is the revenue (in thousands of dollars) and x is the…

A:

Q: The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by the following…

A: (a) The function representing the marginal revenue is R'(x)=4xx2+26,000-23 (in thousands of dollars)…

Q: 2) A construction company uses the function S(t) = 28,000 - 2000t to determine the salvage value…

A: 0

Q: What is the average rate of change between x = 4 and x = 7 for the function g defined below? 3 g(x)…

A:

Q: A tortoise and a hare are competing in a 1200-meter race. The arrogant hare decides to let the…

A: Given A tortoise and a hare are competing in a 1200-meter race Tortoise has a 750 meter head start…

Q: 9. If y varies directly as x, and y is 42 when x is 12 A) Write a function that represents this…

A: NOTE: Refresh your page if you can't see any equations. . to remove the proportionality sign we…

Q: The time t, in minutes, between successive arrivals at an emergency room of a certain city hospital…

A: Given information: Given that the time t in minutes between successive arrivals at an emergency room…

Q: 6.The parent function f(x)= /x is translated 2 units right, compressed vertically by a factor of 2,…

A: Find the solution below

Q: The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by the following…

A: Here we use integration , it is given that R'(x)=4x(x2+25000)-23

Q: Suppose customers in a hardware store are willing to buy​ N(p) boxes of nails at p dollars per​ box,…

A: The given function is N(p)=90-4p2; 1≤p≤4

Q: As machines get older, the cost of maintaining them tends to increase. Suppose for a particular…

A:

Q: Suppose that the selling price P of an item to the quantity x sold is given by P = -+x+ 50. Osxs 200…

A: As the question have more than 3 sub parts I'm solving the first three parts. Re post the question…

Q: Suppose f(x) represents the cost, in dollars, of producing x tons of coal and g(t) represents the…

A:

Q: As machines get older, the cost of maintaining them tends to increase. Suppose for a particular…

A: We get the answer using integrating.

Q: 6. a. Use an x- interval of 0.0001 to determine the instantaneous range of change of the function…

A: Consider the given function. fx=x4+8x3+19x2+12x The objective of the problem is to find the…

Q: A salesperson receives a base monthly salary of $250 plus a commission of $4 for each unit sold. If…

A:

Q: There is a bacteria cell in a Petri dish that is reproducing at a rate of              r(t) = 2t^2+1…

A: Solution:

Q: g(t)=15.18(1.047)t​,

A: gt=15.181.047t The year 2010 corresponds to t=10.

Q: Find the net change in the value of the function between the given inputs. h(t) = t2 + 5; from -3 to…

A: ht=t2+5

Q: Suppose a manufacturer's revenue function is given by R(q)=−5q2+700q , where R(q) is in dollars and…

A:

Q: In a certain state, the sales tax T on the amount of taxable goods is 5% of the value of the goods…

A: here T is taxable  value on purchase  x is purchase value and T = 5% given  further calculation…

Q: #2: Differentiate the following functions. y= 3V3x

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Consider the following production function; Q(K,L) = 3K²/³1ª/3 The firm uses 125.000 K and employs…

A:

Q: Suppose the rate of oil imports to the United States from a certain country can be approximated by…

A:

Q: 1. Write an equation that expresses the fact that a function f is continuous at the number 4.

A:

Q: The marginal revenue​ (in thousands of​ dollars) from the sale of x gadgets is given by the…

A: Given that,the marginal revenue in thousands of dollars from the sale of x gadgets is given by,…