The demand for a video game can be modeled by p = 40 − 0.01x + 1 where x is the number of units demanded per day and p is the price per unit. Find the demand when the price is $37.55.

Q: he income I of a computer analyst varies directly as the number of hours h worked. If the analyst…

A: The income I of a computer analyst varies directly as the number of hours h worked. If the analyst…

Q: The daily cost C (in dollars) for a manufacturer to produce z electronic video components is given…

A: given cost function is c(x) = 1000 . ln((2x^2-700)^1/3) here we have to calculate the change of cost…

Q: The revenue achieved by selling x graphing calculators is figured to be x(49−0.5x) dollars. The cost…

A: Given, revenue achieved by selling x calculators, R(x)=x(49-0.5x). Also given that the cost of one…

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A:

Q: Use the equations for the total cost C and total revenue R to find the number x of units a company…

A:

Q: At a manufacturing plant, the total cost to produce x items is given by the function c(x)=…

A: Consider the provided information, the total cost that produces x items is defined as,

Q: A $649,000 property is depreciated for tax purposes by its owner with the straight-line depreciation…

A: A $649,000 property is depreciated for tax purposes by its owner with the straight-line depreciation…

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A: The cost of renting a saw tool can be broken as, $35 for the first hour $20 for each additional hour…

Q: The income I of a computer analyst varies directly as the number of hours h worked. If the analyst…

A: Given income l is directly varies as the number of hours hIf $336 for working 8h.How much will the…

Q: The amount of fish exported each year can be approximated by A(t) =15(0.96)t  million pounds, where…

A:

Q: It costs $55 to rent a car driven 100 km and $65 for one driven 200 km. If x is the number of…

A: Given: It costs $55 to rent a car driven 100 km and $65 for one driven 200 km

Q: The total weekly revenue for a firm is R(x) = 6000x - 40x² sold. A maximum of 100 units can be sold…

A:

Q: f (s) = v3 (s³ – s²)

A:

Q: The income I of a computer analyst varies directly as the number of hours h worked. If the analyst…

A: Since income of computer analyst varies directly as the number of hours h he worked Given he earns…

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately…

A: The value of China's exports of automobiles and parts (in billions of dollars) is approximately…

Q: Y F 3+ 16x 6x + 8 H 65° G.

A: According to the exterior angle property of a triangle. The exterior angle of a triangle is the…

Q: The electric bill charge for a certain utility company is $0.016 per kilowatt-hour plus a fixed…

A: Given ,   Total cost , y = 0.016x+11.04

Q: Evan plans to use a local Rent-A-Tool to rent a saw. The first hour of rental is priced at $35,…

A:

Q: I am having a party. I purchase: x pizzas, y 12-packs of soda, and z cupcakes for a party. If each…

A:

Q: Suppose the equation for the amount of water w (in gallons) in the pool after t hours is w=…

A: It is given that, if w is the amount of water (in gallons) in the pool after t hours, then w=…

Q: Use the equations for the total cost C and total revenue R to find the number x of units a company…

A:

Q: A firm estimates that it can sell Q units of its product with an advertising expenditure of x…

A: We are given that Q(x)=x² + 600x + 25. For (i), We need to find over what level of advertising…

Q: A snowboarder starts at the top of a mountain that is 2,500 feet above sea level. The snowboarder…

A: option (D) is correct

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x)…

A:

Q: A supply company charges for 50-gallon tanks using the demand function p(x) = 40 – 4.8x. What is the…

A: In any business revenue is the total amount received by selling a given number of items at a given…

Q: Find the price per unit that makes the maximum profit p if c(x)= 45+76x and p=96-2x

A: Given c(x)=45+76x and p=96-2x

Q: find the consumers surplus at a price level of $220 for the price-demand equation p=D(x)=500-0.07x

A: Given:

Q: A frozen yogurt stand makes a profit of P(x) = .40x - 80 dollars when selling x scoops of yogurt per…

A: The profit when selling x scoops of yogurt per day is modeled by the function, Px=0.4x-80. The…

Q: A company's revenue from selling x units of an item is given as R = 1600x – 2a?. If sales are…

A: Consider the given revenue function, R=1600x-2x2 it is given that sales are increasing at the rate…

Q: The profit (P) realized by a company varies directly as the number of products it sells (s). If a…

A: This question is related to linear equation.

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x)…

A: Use the given value and logarithms to find the value of x

Q: A certain bakery has found that the daily demand for bran muffins is 17500/p where p is the price of…

A: Equate the demand and supply equation to get the price P

Q: The price per barrel of crude oil in the period 1980-2013, in constant 2014 dollars, can be…

A: To find P'(t) and P'(28).

Q: 3. h(x) =x- 6

A:

Q: The cost in USD $ of purchasing x number of microchips plus shipping factory direct from Taiwan to…

A:

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately…

A:

Q: The United States is not building many nuclear power plants, but the ones it has are running at…

A: Graph of y = 1.9467t + 70.082

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x)…

A: function is given by using log property we can get the answer

Q: The amount of money in a fund F (in millions of dollars) can be approximated by the equation…

A: Consider the given function:

Q: The income I of a computer analyst varies directly as the number of hours h worked. If the analyst…

A: The income for 8 hours is $384.The income for 1 hour is $384/8 = $48.

Q: -2x + 2 g(S(x)

A:

Q: Revenue for a company is given by R=400x-(x^2)/(60) where output in 1 week is x Bluetooth…

A:

Q: A company has found that the demand on its widgets varies inversely with the price of the widget.…

A: Let us denote D= the demand of the widget and P=price of the widget  Given that D and P vary…

Q: The total fertility rate in a certain developing country can be modeled according to the equation f…

A: Given, f(x)=0.003x2-0.2x+6.48 Where x is the number of years since 1958.

Q: The year in which the oil import to the United States is greatest and also calculate the amount of…

A: Given: Crude oil imports to the United States from Mexico for 2009-2013 could be approximated by…

Q: The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per…

A:

Q: A minute ad during a campaign in 1973 cost $200,000. The price tag for a 30-second ad slot during a…

A: We are given that the cost of 30-second slot of advertising for a campaign can be modeled by…

Q: Demand for an electric fan is related to its selling price p (in dollars) by the equation n = 1960 –…

A: n=1960-70pn= number of fansp = price

Q: The total revenue function for a home theather system is given by R=266x, and the total cost…

A:

Q: The income I of a computer analyst varies directly as the number of hours h worked. If the analyst…

A: Given:Analyst earns 384 dollars for working 8 hours.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.