Suppose that a company has just purchased a new computer for $2400. The company chooses to depreciate using the straight-line method for 4 years? (a) Write a linear function that expresses the book value V of the computer as a function of its age x. (b) What is the domain of the function found in part (a)? (c) Graph the linear function. (d) What is the book value of the computer after 2 years? (e) When will the computer have a book value of $600?

Q: a) Express the cost as a function of the number of jeans produced, assuming that it is linear. Then…

A:

Q: Hamed own a local gold market that currently has 2550625 subscriber in Instagram at a quarterly…

A: Given A local gold market that currently has 2550625 subscriber and quarterly charge of R.O. 19 .…

Q: Suppose the annual profit for a store was modeled by the function :                 P(x) = - 0.2x3…

A: Given:               The annual profit for a store was modeled by the function :…

Q: The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and…

A:

Q: i. Write an example of a linear function that isincreasing and has a y-intercept of 5.

A: We have to find the linear increasing function which has y intercept at 5.

Q: the average rate of change 5/-3  greater or less than the rate of change of the linear function…

A: To determine rate of change

Q: The manufacturer of graphing calculators has determined that 11,000 calculators per week will be so…

A: Given : Number of calculators = 11000 Price of each calculator = $85

Q: Suppose that the world's current oil reserves is 2090 billion barrels. If, on average, the total…

A: The current world's oil reserves is 2090 billion barrels. This means the current world's oil…

Q: n 2011, major league baseball singed a labor agreement with the players in which any team whose…

A: Given:The linear function is

Q: Chelsea and her friends are driving across the US from New York to Los Angeles at a constant speed…

A: Given when Chelsea and her friends have driven for 15 hours, they are 1800 miles away from Los…

Q: Suppose that the monthly cost of a long-distance phone plan (in dollars) is a linear function of the…

A:

Q: A manufacturer of graphing calculators has determined that 8,000 calculators per week will be sold…

A: Given, a manufacturer of graphing calculators has determined that 8,000 calculators per week will be…

Q: number of automobiles in a certain small town was 1,445 in 2010, and it was 1,750 in 2015. If we…

A: Since time period starting from 2010, we can take t=0 at 2010. Number of automobiles in the town in…

Q: A​ T-shirt manufacturer is planning to expand its workforce. It estimates that the number of​…

A: Given T-shirt production hiring model:T(x)=-0.5x4+4x3,0≤x≤6we need to find1)when is the rate of…

Q: If the slope m of the graph of a linear function is_________ ,the function is increasing over its…

A: Given: If the slope m of the graph of a linear function is_________ , the function is increasing…

Q: he manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and…

A: Given that: It costs $2200 to produce 100 chairs in one day and $4400 to produce 300 chairs in one…

Q: Suppose that Internet domain names are sold at a price of $P per month for $2 ≤ P ≤ $100. The number…

A: Consider that the number of customers are linear functions of price that is, C=aP+b. Given when…

Q: Consumers will demand 1380 items at a price of $4.25/item. When the price per item increases to $7,…

A:

Q: The construction industry was one of the hardest-hit by the recession of 2008, but housing starts…

A: NOTE: Refresh your page if you can't see any equations. . here x= number of years after 2002 so…

Q: Housing prices in a particular neighborhood increased at rate of $1,200 per year.  If you bought a…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: You buy a new car for $25,000 and 2 years later, the car is valued at $17,500. Assuming that the…

A: Let us consider that after t years the car is worth C(t). Since the depreciation is linear, let C(t)…

Q: A small-appliance manufacturer finds that it costs $9000 to  produce 1000 toaster ovens a week and…

A: we know the general form of a linear equation is y=mx+c. given y=9000 for x=1000 and y=12000 for…

Q: Alex and his friends are driving across the US from New York to Los Angeles at a constant speed…

A:

Q: The number of people afflicted with the common cold C in the winter months steadily decreased by 212…

A:

Q: A manufacturer of graphing calculators has determined that 12,000 calculators per week will be sold…

A: To write the linear equation

Q: Suppose that a company has just purchased a new computer for $3600. The company chooses to…

A: A company has just purchased a new computer for 3600.the company chooses to depreciate using the…

Q: An account executive receives a base salary plus a commission. With $23,000 in monthly sales, the…

A: Formula: The equation of line passing through two points (x1, y1) and (x2, y2) is (y - y1) = y2-y1x2…

Q: 6. In 2001 the average annual tuition and fees for attending a private college was $16,50C cost rose…

A: Since part b statement is incomplete i do first part as per our company guidelines please repost…

Q: A certain man works in sales and earns a base salary of $1000 per month, plus 5% of his total sales…

A:

Q: Suppose that your electric company just purchased a fleet of new trucks for its work force at a cost…

A:

Q: A machine is now worth ​$157,700 and will be depreciated linearly over a 6​-year ​period, at which…

A:

Q: A house purchased for $250,000 in 2010 increases in value by $10,500 each year. a. Express the value…

A: Explained below

Q: The number of automobiles in a certain small town was in 1890, and in 2015 and 2420 in 2020. If we…

A: Graphically, the linear function representing the relationship between an independent variable let's…

Q: A cab company charged $0.25 per mile as well as a flat fee of $2.50 just for taking a ride in the…

A:

Q: A company paid $150,000 for a new 18-wheeler. When it is 9 years old it will be worth $60,000. Using…

A: The straight line depreciation means the value of truck decresing with the same amount every yearAt…

Q: If the slope m of the graph of a linear function is __________, the function is increasing over its…

A: Known fact: If the graph of function is increasing over a, b then f'x>0 for all x in a, b. Slope…

Q: Chelsea and her friends are driving across the US from New York to Los Angeles at a constant speed…

A:

Q: anager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $5400…

A: Given query is to find linear relationship, slope and the graph.

Q: An account executive receives a base salary plus a commission. With $23,000 in monthly sales, the…

A:

Q: Suppose that the monthly cost of a long-distance phone plan (in dollars) is a linear function of the…

A: The linear function with a slope m and point (x1,y1) is given by  (y-y1) = m( x-x1)

Q: Suppose that a car’s worth depreciates at a constant rate.  You bought the car in 2002 for $18,000…

A: Bought the car in 2002 for $18000, after five years at 2007 price of the car becomes $12000.  Given…

Q: What is linear property of the mathematical function?

A:

Q: A company has determined that its profit for a product can be described by a linear function. The…

A: Given: A company has determined that its profit for a product can be described by a linear function.…

Q: Find the slope of the graph of the function at the given point. f(x) = V1 - x3, (-2, 3) f'(-2) =

A:

Q: The profit earned by selling soap at a craft show can be modeled by the graph of the linear function…

A: The formula for the rate of change is given by y2-y1x2-x1. From the given graph, observe that the…

Q: A baseball team plays in a stadium that holds 60000 spectators. With the ticket price at $10 the…

A: Let px be the price when x tickets are sold. Now given that with the ticket price at $10 the average…

Q: Suppose that a company has justpurchased a new computer for $3000. The company choosesto depreciate…

A: Apologies. We only answer three subparts at a time. We will answer the subparts (a), (b) and (c) as…

Q: A producer will not supply any items when the price is $535 or lower, but when the price per item is…

A: Given that - A producer will not supply any items when the price is $535 or lower, but when the…

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.