A new building that costs $1,000,000 has a useful life of 100 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.  V(t) =  Find the value after 1 year, after 2 years, and after 90 years.

Q: The time (T) it takes to plant rice in an acre varies inversely as the number of farm workers (W).…

A: The time (T) it takes to plant rice in an acre varies inversely as the number of farm workers (W).…

Q: SW 1. Write an equation for the average cost A(x) of printing x sweatshirts through this company.

A:

Q: Find the consumer’s surplus at a price level of p ̄ = $110.00 for the price-demand equation p = D(x)…

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

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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 rate of growth of a fish population was modeled by the equation G(t) = 60000e−0.5t/(1 +…

A: The answer is found in step-2.

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

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Q: pollution of Lake Erie were to stop suddenly, it has been estimated that level y of pollutants would…

A: We will find out the time to clear 50℅ of pollutants.

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…

A:

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

A: Given: The equation of the number of items sold is x=700002p+1. Here, p is the price at which the…

Q: yt + x* = F g?

A: Given that: y4+x4=x5y7 Now, take the all "y" terms on one side, we get: y7x5-y4=x4 Now take the…

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

A:

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: For a certain culture the equation Q(t) = Q0 e0.1t, where Q0 is an initial number of bacteria and t…

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Q: The population P of elephants in a wild animal preserve changes with time (in years) according to…

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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 population of bacteria is growing according to the equation P(t) population will exceed 895. 400e0…

A: Given query is to find the time when population exceed 895.

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 cost of a personal computer is $700 and its value is depreciating with time according to the…

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Q: The cost C(x), where x is the number of miles driven, of renting a car for a day is $30 plus $0.55…

A: Find: cost function C(x) Given: x is the number of miles driven         renting a car for a day is…

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

A:

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: Assume that from 1860 to 1920, the city of Painesville’s population experienced uninhibited growth.…

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Q: The number of books in a small library increases according to the function B= 3700e0.05t, where t is…

A: Given,The number of books in a small library increases according to the function B= 3700e0.05t,…

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

A:

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

A: Company’s weekly online sale is given by the function S(t) = 4et where t is the weeks after sales…

Q: A bacteria population is modeled by the equation p(h) = 10000 * 2^h, where h is the number of hours…

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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: A vehicle purchased for $3250032500 depreciates at a constant rate of 16%16% each year. Its value…

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

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Q: Medical research has found that between heartbeats the pressure in the aorta of a normal adult is a…

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Q: A venicle purchased for $27500 depreciates at a constant rate of 14 %o each year. Its value after t…

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Q: A house purchased for $195000 is expected to double in value in 20 years. Find an equation for the…

A: let the linear relationship between value P and time t is given by  P= a +bt.....1 a,b are constants

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

Q: If f(x)f(x) is the slope of a trail at a distance xx miles from the start of the trail, what does…

A: Given fx is the slope of the trail at a distance x miles from start of the trail.

Q: If y varies indirectly as x and y is 6 when x is 36, find the constant of variation

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Q: A population of bacteria is growing according to the equation P(t)=1700e0.17t. Estimate when the…

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Q: If f(x)  is the slope of a trail at a distance of miles fromthe start of the trail, what does ∫35…

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Q: The following equation represents the growth of bacteria in a particular food product, where t…

A: Given, the number of bacteria function f(t) = 700e0.1t , where t is time in days. When the bacteria…

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

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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: The water level in a tank decreases with time according to the following equation: h(t) = 1.8 t² –…

A: Consider the provided question, Hello. Since your question has multiple sub-parts, we will solve…

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

A: Form a differential equation of first order and simply solve it.

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

A: Given equation is x=700004p+1. Due to inflection and increasing health benefits costs, company…

Q: Find the producers surplus at a price level of p=$30 for the price-supple equation…

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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: Tom works for a constant hourly wage of w dollars. Which choice shows the correct relationship…

A: Tom's total earning of the week = e total no of work hours = h wage per hour = w

Q: A population of bacteria is growing according to the equation P(t) = 1950eº population will exceed…

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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.