A new building that costs $1,200,000 has a useful life of 20 years and a scrap value of $200,000. Using straight-line depreciation, find the equation for the value V in terms of t, where t is in years. (Make sure you use t and not x in your answer.)V(t) = Find the value after 1 year, after 2 years, and after 16 years. Value after 1 year   $   Value after 2 years   $   Value after 16 years   $

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A: We are asked to find the consumer surplus at the price level 110.

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Q: Q11. Obtain the general equation of the curve whose slope at any point is equal to y - 2x.

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

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Q: The cost C(x) , where is the number of miles driven, of renting a car for a day is 43 plus $0.50 per…

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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 new machine costs $26,000 and has a useful life of 6 years with a scrap value of $2,000. Using…

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

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Q: O Find the equation of the line tangent to the graph of f(x) = 7x + 3x? – 4x - 8 a %3D

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Q: In 1991, the moose population in a park was measured to be 4600. By 1996, the population was…

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Q: a. f(t)= et, cost, 0 2TT.

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

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Q: When Alexander moved into a new house, he planted two trees in his backyard. At the time of…

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Q: Find an equation for the line below. D=0

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Q: Mike earns $6.50 per hour plus 4% of his sales. Enter an equation for Mike's total earnings, E, when…

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Q: 6. The speed of a tidal wave, s, in hundreds of miles per hour, can be modeled by the equation - 4t…

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Q: Find an equation for the line below. D=0 DO

A: We are given the graph of a line and we are required to find the equation of the line.  From the…

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

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Q: An automobile costs $20000 when sold brand new and depreciates at a rate of 10% per year. Which of…

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Q: Let y be the number of cakes that a baker has at 6 AM. By 5 PM the baker has sold 37 cakes, she then…

A: It is given that c cakes are distributed among 4 persons equally. So total number of cakes…

Q: 1 On Saturday, rain fell at a rate of 1.5 inches per hour. Write an equation to show the…

A: We differentiate sunday rain r with respect hour h, So we get

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Q: A company determines that its weekly online sales, S(t), in hundreds of dollars, t weeks after…

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Q: Let f be the linear function  f(x) = −6x + 7. a) wha is The rate of change of f ? b)and what is The…

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Q: Based on the veterinarian's equation, in how many A veterinarian collected data about the growth of…

A: Given: The relation between age of puppy, w, in weeks and its weight, n, in ounces is given by,…

Q: In 2013 the median monthly rent for a one-bedroom apartment in San Francisco was $2,750. The…

A: Here we find difference between median cost.

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

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Q: A company finds the total cost of producing 15 items is $6,650, while they can produce 65 items for…

A: Lets assume no of units produce =x

Q: Use the equation of the line of best fit, y=-0.75.x+8.65, to answer the questions below. Give exact…

A: From the graph  The equation of the line is y=-0.75x+8.65 .......(1)

Q: The revenue (in dollars) form the sale ofxcar seats is given byR(x)=80x−0.02x2, for 0≤x≤3000. (a)…

A: (a) we have our revenue is given by R(x) = 80*x - 0.02x2. now revenue for 1200 car seats is  R(1200)…

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

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Q: A geologist measures the temperature T (in °C) of the soil at various depths below the surface and…

A: T = 0.09x − 6.   x is in cm and T is in °C

Q: The national catch of Atlantic Cod has been declining in the past few decades. We can model this…

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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.