A new machine costs $26,000 and has a useful life of 6 years with a scrap value of $2,000. Using straight-line depreciation, find the equation for the value V in terms of t, where t is in years. Input your answer in the form V(t) = mt + b.

Q: The atmospheric pressure (P), in pounds per square inch, at x miles above sea level is given…

A:

Q: Use the graphical method to solve the equation.

A: Given, 2x+1+1=x

Q: After a certain drug is injected into a patient, the concentration C of the drug in the bloodstream…

A: We need to find eventual concentration of the drug.

Q: The population of a town has been growing, following the equation P = 500t + 3000, where t is years…

A: It is given that, the population of a town modeled by the equation P = 500t + 3000, where t is years…

Q: The value in dollars, v(x), of a certain car after x years is represented by the equation v(x) =…

A: Value of car is represented by v(x) after x years.v(x)=25000(0.86)x

Q: A roofing contractor purchases a shingle delivery truck with a shingle elevator for $37,800. The…

A: Cost of the truck = $37,800 Average expenditure on Fuel and maintenance = $9.50/hr Operator charge…

Q: A roofing contractor purchases a shingle delivery truck with a shingle elevator for $42,000. The…

A: Profit = Revenue -Cost Revenue is the amount that the producer gets from the sale of the item and…

Q: The concentration of a medicine in the bloodstream after t hours of taking it is given by the…

A: As elasped time in hours measure from 11:00 am. Therefore at 11:00am time t =0.

Q: The annual fixed costs for owning a small sedan are $1461, assuming the car is completely paid for.…

A: To determine the linear equation.

Q: The concentration of a drug in the bloodstream C(t) at any time t, in hours, is described by the…

A: Given query is to find the time when to concentration will be maximum.

Q: The concentration of a drug in the bloodstream C(t) at any time t, and hours, is described by the…

A: The concentration of drug reaches its maximum when                         C'(t) = 0find the values…

Q: 4. The pollution level in the center of a city at 4 am is 22 parts per million and it grows in…

A: 4) (a)Pollution level at 4am = 22 parts per million It grows in linear fashion at 19 parts per…

Q: A contractor purchases a bulldozer for $36, 500. The bulldozer requires an average expenditure of…

A: Given: A contractor purchases a bulldozer for $36,500.The bulldozer requires an average expendiature…

Q: The fraction of the senior class S, who has heard about the Cross Country Team state victory…

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Q: Ezra has a base salary of $25,000 and earns 65% commission on vacuum cleaners. This means that for…

A: Base salary of Ezra, B=$25,000 Target Amount T=$35,000 Commission that Ezra need to earn if he want…

Q: The intensity of a light source at a distance is directly proportional to the strength of the source…

A: Given that, the intensity of a light source at a distance is directly proportional to the strength…

Q: Two people can complete 60% of a task in t hours, where t must satisfy the equation t/10 + t/15 =…

A: Given:

Q: To increase the velocity of the air flowing through the trachea when a human coughs, the body…

A: To increase the velocity of the air flowing through the trachea when a human coughs, the body…

Q: Determine the value of x in the equation 2e = 6.

A: Given equation 2ex=6 Now  2ex=6 ex=6/2 ex= 3

Q: A company selling widgets has found that the number of items sold, x, depends upon the price, p at…

A: Given data: *The equation of the number of items sold is, x=700004p+1 Here, p is the price at which…

Q: Kara's Custom Tees experienced fixed costs of $300 and variable costs of $5 a shirt. Write an…

A: Fixed cost is, Cf = $300 Variable cost is Cv = $5 To evaluate: The equation that determine the total…

Q: The owner of an ice cream franchisemust pay the parent company $1000 per month plus 5% ofthe monthly…

A: Consider the provided information, The Fixed costs is 2600 per months for item +1000 pay the parent…

Q: In DESMOS, to do a regression of the quadratic function using a table of data with variables x1 and…

A: Given, Regression quadratic equation  y = ax2 + bx + c     To find, In DESMOS, to do a regression of…

Q: The gas mileage for a certain vehicle can be approximated by m=-0.03x2 + 3.7x-43, where x is the…

A: At first we construct the quadratic formula from the given condition and then solve it by sridhar…

Q: For a given rabbit population, the relationship between the number of adult female rabbits, F, and…

A: Given, The relationship between R and F is   R = 3+350FF+625 We have to solve for part 1  and part…

Q: According to the Pew Research Center, the population of Italy for the next thirty years is projected…

A: We will find the answers of all 3 parts as following.

Q: The temperature T in degrees Fahrenheit is (approximately) a linear function of the number C of…

A: Given Data: The temperature is: T=42°F The number of cricket chirps per minute is: C=20 cricket…

Q: Where x represents the quantity demanded in units of a thousand and p the unit price in dollars,…

A:

Q: a + C (d - e) = f

A:

Q: A contractor purchases a piece of equipment for $36,500 that costs an average of $9.25 per hour for…

A:

Q: following the equation P = 500t + 3000, where t is years after 2010. The number of restaurants in…

A: Given,  P = 500t + 3000 R = 4t + 35 So, the restaurants per capita = R/P R/P = (4t +35)/(500t +3000)…

Q: The temperature, t, in Burrtown starts at 25°F at midnight, when h= 0. For the next few hours, the…

A:

Q: An influenza epidemic spreads at a rate proportional to the product of the number of people…

A: An influenza epidemic spreads at a rate proportional to the product of the number of people infected…

Q: After a baby was born, she began to gain weight at a rate of 1.5 pounds per month. The weight of the…

A:

Q: An island is 3 mi from the nearest point on a straight shoreline; that point is 14 mi from a power…

A: According to the given figure, let n miles away cable meet the shore. Given that: Cost to lay…

Q: A company that manufactures pet toys calculates that its costs and revenue can be modeled by the…

A:

Q: A company that manufactures pet toys calculates that its costs and revenue be modeled by the…

A:

Q: The profit P for a company producing x units is P = −0.8x^2 + 324x − 2000 Use differentials to find…

A: Given that, the profit function is Px=-0.8x2+324x-2000. Differentiate the function…

Q: Find the equation for the general solution y²= cx

A:

Q: 5. The height, h(t), in feet, of an object shot from a cannon with initial velocity of 20 feet per…

A:

Q: A business uses straight-line depreciation to determine the value y of an automobile over a 5-year…

A: NOTE: Refresh your page if you can't see any equations. . x= number of years  y= value of the…

Q: Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen.Write an…

A: Given: Snow is falling steadily n Syracuse, New York. After 2 hours, 4 inches of snow has fallen.…

Q: y = x? + C1e2x + C2e3x; based on the given, eliminated the arbitrary constant present in the…

A:

Q: A car is traveling down a highway at a constant speed, described by the equation D=65t , where…

A: 1) Given, A car is traveling down a highway at a constant speed, described by the equation d = 65t…

Q: The weekly cost C of producing x units in a manufacturing process is given by C(x) = 60x + 1500.…

A: Given cost function is  C(x)=60x+1500 Number of units produced in t hours is given by x(t)=50t

Q: Solve for x, given the equation Jx-5 +7= 11. Ox= 21, solution is extraneous Ox=21 , solution is not…

A: NOTE: Refresh your page if you can't see any equations. .

Q: The concentration of a drug in the bloodstream C(t) at any time t, in hours, is described by the…

A: To solve this question we need to apply the concept of maxima and minima.

Q: An electronics company is planning to manufacture a new line of high-end noise reduction ear buds.…

A:

Q: The population of a species is modeled by the equation p(t)= -t4 + 72t2 +225, where t is the number…

A:

Q: As cell phones proliferate, the number of pay phones continues to drop. The number of pay phones…

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.