A long distance company charges a monthly fee of $4.95 and $0.02 per minute. Let f(x) be the monthly long distance bill and x represent the total minutes of long distance time during the month. What is the initial value of this function?

Q: A coffee shop finds that at the price of $3.00, demand for their popular cappuccino drink is 3000…

A: Given that: At price of $3.00, demand = 3000 cups a year.For every $0.25 decrease in price, demand…

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 710…

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Q: The demand function for a product under pure competition is p = (64 - 4x)1/2  and the supply…

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Q: A manufacture has been selling 1900 television sets a week at $360 each. A market survey indicates…

A:

Q: A manufacture has been selling 1800 television sets a week at $510 each. A market survey indicates…

A: *here, number of t.v. set sold = x demand function = p(x) Revenue = R(x) Profit function = P(x) Cost…

Q: A phone company charges $0.39 per minute for the first 10 minutes of a long-distance phone call and…

A: NOTE: Refresh your page if you can't see any equations. . A phone company charges $0.39 per minute…

Q: An initial investment of $10,000 grows at 11% per year. What function rep R) - 10,000(1.11)' A) -…

A: Initial Investment f(0)=$10,000 rate r=11% per year  time = t

Q: A baseball team plays in he stadium that holds 62000 spectators. With the ticket price at $12 the…

A: The objective is to find the demand function, p(x) where x is the number of spectators. Given: where…

Q: A manufacture has been selling 1000 television sets a week at $480 each. A market survey indicates…

A:

Q: A company manufacturing laundry sinks has fixed costs of $100 per day but has total costs of $2,500…

A: Given, Demand function is, q=360-pp=360-q Now, the Revenue function is, Rq=pq=360-qq=360q-q2…

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

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Q: A manufacture has been selling 1850 television sets a week at $510 each. A market survey indicates…

A:

Q: The demand for a particular item is given by the demand function D(x) = 1100 - x² %3D Find the…

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Q: a. What are the net total savings during the first year of use of the​ machine? b. What are the net…

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

A:

Q: A baseball team plays in he stadium that holds 66000 spectators. With the ticket price at $12 the…

A: Given,          A baseball team plays in a stadium that holds 66000 spectators. With the ticket…

Q: A manufacture has been selling 1800 television sets a week at $540 each. A market survey indicates…

A: Given : A manufacture has been selling 1800 television sets a week at $540 each. A market survey…

Q: A manufacture has been selling 1600 television sets a week at $450 each. A market survey indicates…

A: x= number of TV y=price two points are the slope of the line is given by

Q: 17. Given a demand function, p=v15x + 0<x<65, find the value of x x- 65 Use R=xp that produces a…

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Q: Use the demand function x- 275 (1- 3p/5p+1)  to find the rate of change in a demand x for price p=$4

A: Consider the demand function x

Q: A baseball team plays in he stadium that holds 54000 spectators. With the ticket price at $11 the…

A:

Q: A manufacture has been selling 1050 television sets a week at $510 each. A market survey indicates…

A: Here we solve the given problem.

Q: A manufacture has been selling 1350 television sets a week at $480 each. A market survey indicates…

A: Given that, a manufacture has been selling 1350 television sets a week at $480 each. A market survey…

Q: |A manufacture has been selling 1400 television sets a week at $480 each. A market survey indicates…

A: Solve the problem as solved below and then find the answer.

Q: er week. a) Find the demand function p(x)p(x), where xx is the number of

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Q: Marine ecologists estimate the reproduction curve for swordfish in a fishing ground to be  f(p) =…

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Q: A manufacture has been selling 2000 television sets a week at $390 each. A market survey indicates…

A: a) We are given the demand or price function when for 2000 Television i.e. p(2000)=390. if rebate of…

Q: The monthly demand function for x units of a product sold by a monopoly is p = 5,800 - dollars, and…

A: The given functions are: C(x)=3020x+2x2R(x)=5800x-1xx3

Q: A manufacture has been selling 1250 television sets a week at $480 each. A market survey indicates…

A:

Q: A baseball team plays in he stadium that holds 58000 spectators. With the ticket price at $8 the…

A: x=number of spectators y=price . two points are the slope of the line is given by

Q: A manufacture has been selling 1700 television sets a week at $420 each. A market survey indicates…

A:

Q: 2 (b). y = (x – 3) VT. Determine the intervals of decrease and increase of the function

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Q: A manufacturer has been selling 1350 television sets a weekat $540 each. A market survey indicates…

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Q: The demand function for a company is given by q = Ap) = 3000 – 125p, with p the price in thousands…

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

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Q: A manufacture has been selling 1100 television sets a week at $420 each. A market survey indicates…

A:

Q: A manufacture has been selling 1850 television sets a week at $390 each. A market survey indicates…

A:

Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by x = (107 -…

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Q: A baseball team plays in he stadium that holds 66000 spectators. With the ticket price at $10 the…

A: Total stadium capacity = 66000 Average attendance at $10 ticket price = 29000 Average attendance at…

Q: A manufacture has been selling 1100 television sets a week at $420 each. A market survey indicates…

A: We have to find demand function, maximum revenue, maximum profit.

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: How large a rebate should the company offer the buyer in order to maximize its revenue

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Q: The monthly demand function for x units of a product sold by a monopoly is p= 7000 -x² dollars per…

A: Given that  Price is p(x)=7000-x^2/2 Average cost c(x)=3660+3x  To find the number of units that…

Q: The size P of a small herbivore population at time t​ (in years) obeys the function P(t)=700e0.24t…

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Q: he monthly demand function for x units of a product 1 sold by a monopoly is p = 5900 – x² dollars,…

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Q: The demand for a particular item is given by the function D(x)=1500-3X^2. find the consumers surplus…

A: Given equilibrium price = 300 and demand function.

Q: The size P of a small herbivore population at time t​ (in years) obeys the function P(t)=1000e0.2t…

A:

Q: For the demand function d(x) and demand level x, find the consumers' surplus. d(x) = 250 − 0.06x2,…

A: For the demand function d(x) and demand level x, find the consumers' surplus. d(x) = 250 −…

Q: A manufacture has been selling 1550 television sets a week at $480 each. A market survey indicates…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.