Depreciation A business property valued at $300,000is depreciated over 30 years by the straight-line method,so its value x years after the depreciation began isV = 300,000 - 10,000xExplain why the value of the property is a function ofthe number of years.

Q: Marginal Profit A company has determined that itsprofit for a product can be described by a linear…

A: Given: The profit from the production and sale of 150 units is $455, and the profit from 250 units…

Q: Fuel Consumption: The gas tank of a certain car contains 16 gal when the driver of the car begins a…

A: Given: Initially,amount of gas in the tank=16 galFor 1 mile, gas decreases by=0.032 gal Here, gas is…

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: A devastating freeze in California’s Central Valley in January 2007 wiped out approximately 75% of…

A: Given c=gp where c is the price of oranges and p is the percentage of the citrus crop that was…

Q: An elementary school is taking a busload of children to a science fair. It costs $110.00 to drive…

A: Step 1Given : c = Total cost in dollars              n = Number of children              Bus fair =…

Q: Ravi is driving to Denver. Suppose that the distance to his destination (in miles) is a linear…

A: Ravi is driving to Denver. Ravi has 62 miles to his destination after 25 minutes of driving, and he…

Q: The gas mileage of a car (in miles per gallon) is highest when the car is going about 45 miles per…

A: Here given that gas mileage of car is highest when the speed of the car is 45 miles per hour and the…

Q: Heart Rate The desired heart rate for weight loss duringexercise is a linear function of a person’s…

A: ()  We have to write the equation of the function with t equal to age and H  The equation of the…

Q: The cost of a telephone call from Mendocino to San Francisco during business hours is 40 cents for…

A: Given that the cost of a telephone call from Mendocino to San Francisco during business hours is 40…

Q: The number of words in a child's vocabulary is a function of the child's age. A typical child at the…

A:

Q: A car recall is in place for your car. You find out that during week 2 of the recall, the…

A: Let's find.

Q: Tuition Costs In 1990, the cost of tuition at a large Midwestern university was $97 per credit hour.…

A: The linear cost function comprises a constant and variable.

Q: Where is the function increasing? Decreasing?

A: From the given graph, it is observed that the local maximum exist at approximately x=-2.7 and local…

Q: Water is being drained from a reservoir. After 2 minutes, the height of water in the reservoir is…

A: We have to find

Q: We are constructing a box from a rectangular piece of cardboard. The piece of cardboard which…

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

Q: The inventor of a new game believes that the variable cost for producing the game is $0.95 per unit…

A:

Q: uppose that a man has goat (G) farm and there were 250 goats in the year X and in the year Y, the…

A:

Q: 2) A rare stamp was worth $85 in 2005. It was predicted to grow in value at a rate of 7.2% per year.…

A: The stamp having value of $85 in 2005 (a) equation of value with respect to year is y=85(1.072)x (b)…

Q: A linear function models the height of a burning candle. Candle A comes out of the mold at 211 ​mm,…

A: Here,  h= 211 mm t= 8 hours

Q: Profit A manufacturer of computers has monthlyfixed costs of $87,500 and variable costs of $87…

A: Given, Profit A manufacturer of computers has monthlyfixed costs of $87,500 and variable costs of…

Q: An elementary school is taking a busload of children to a science fair. It costs $150.00 to drive…

A: The total cost function is given by : C=4x+150 Here 150 is the y intercept and the curve begins at…

Q: We are constructing a box from a rectangular piece of cardboard. The piece of cardboard which…

A: topic - functions

Q: n elementary school is taking a busload of children to a science fair. It costs $110.00 to drive the…

A: We use elementary method to form equation and done the rest of calculation on that equation

Q: The figure shows graphs of r', the rate of change of revenue, and c', the rate of change of costs…

A: (a) Profit=revenue-costThe rate of change of revenue r' and rate of change of costs c' is given.The…

Q: The cost of mailing a first-class letter is $0.46 for the first ounce and $0.20 for each additional…

A:

Q: Depreciation Suppose the cost of a business property is $1,920,000 and a company depreciates itwith…

A: Depreciation Suppose the cost of a business property is $1,920,000 and a company depreciates itwith…

Q: Kareem is driving to Denver. Suppose that the distance to his destination (in miles) is a linear…

A:

Q: An elementary school is taking a busload of children to a science fair. It costs $150.00 to drive…

A:

Q: number of acre-feet (af) of water per day that evaporates from the reservoir for various…

A: Equation of a line can be written as y = mx+c , where m is the slope of line , c is the Y axis…

Q: An elementary school is taking a busload of children to a science fair. It costs $150.00 to drive…

A:

Q: careena like throwing rocks at the ocean. when she throws the rock upward from 160 ft above the…

A: The function that models the height of the rock is ht=-16t2+48t+160, where t is in seconds. The rock…

Q: A car moving at a constant speed at t=0. After 8 seconds, the car has traveled 752 feet write a…

A: Given: A car is moving at a constant speed at t=0. Also, distance covered in 8 seconds =752 feet To…

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

A:

Q: An average of 40,000 people visit Riverside Park each day in the summer. The park charges $15.00 for…

A: given that, number of people =40000 ticket price=$15 and for each $1 increase in price,the park…

Q: T-Shirt Profit The latest demand equation for your Yoda vs. Alien T-shirts is given by q=-50x + 700…

A:

Q: Ivan is driving to Philadelphia. Suppose that the distance to his destination (in miles) is a linear…

A: Here, remaining distance to its destination y, is a linear function of the total driving time t,…

Q: A dairy spends $28,000 per year to maintain its barns and equipment. It costs $4000 per year to feed…

A: Total cost will comprise of: $28,000 per year to maintain its barns and equipment. $4000 per year…

Q: Price & Demand In economic theory, we let represent the number of items (called demand) a supplier…

A: x represent  the demand  and  p represent price of item

Q: A new bus worth $100, 000 in 2015 depreciates linearly to $25, 000 in 2030. (a) Find a formula for…

A:

Q: Ivan is driving to New York City. Suppose that the distance to his destination (in miles) is a…

A:

Q: T-shirt Profit - The latest demand equation for your Yoda vs. Alien T-shirt is given by q=-40x+600…

A: Given: The latest demand equation for your Yoda vs. Alien T-shirt is given by q=-40x+600 where q is…

Q: A baseball team plays in a stadium that holds 55,000 spectators. With the ticket price at $10, the…

A:

Q: 2. A truck rental charges P 3,000 to rent a truck for a day, plus an additional fee for mileage. The…

A: Solution ) truck rental charge = 3000 Total cost = renting a truck + 100 miles driving 6500 = 3000 +…

Q: Gasoline mileage Suppose the cost of driving an automo- bile is a linear function of the number x of…

A: Gasoline cost = $3/gallonand tuneup will improve gasoline mileage by 10%. so instead of 20mil/gal it…

Q: Abortions The number of abortions in the UnitedStates per 1000 women aged 15–44 can be modeledby the…

A: Given function is, y=-0.026x2+0.951x+18.161, where x is the number of years after 1970 and y is…

Q: A tractor has an initial price of $8000.00 and sells for $1100.00 after 23 years. Assume that the…

A: Tractor intital price at t = 0, Vo = $8000 After t = 23 years,  price V = $1100

Q: company purchases cars for use by its executives. The purchase cost this year is $30,000. The cars…

A: Given that a company purchases cars for use by its executives. The purchase cost this year is…

Q: The bus fare in a city is $1.75. People who use the bus have the option of purchasing a monthly…

A:

Q: David is driving to Los Angeles. Suppose that the distance to his destination (in miles) is a linear…

A: let y be the distance from destination to David, and x be the driving time. Then, David has 59 miles…

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.