A franchise models the profit from its store as a continuous income stream with a monthly rate of flow at time t given by f(t) = 8000e0.004t (dollars per month). When a new store opens, its manager is judged against the model, with special emphasis on the second half of the first year. Find the total profit for the second 6-month period (t = 6 to t = 12). (Round your answer to the nearest dollar.) $

Q: From 2010 through 2019, the revenue per snare fin $) tor stark Industries can be modeled by 2. 2. R…

A:

Q: A mining expert estimates that the production growth rate of copper overtime, or is given by dt' dy…

A:

Q: Find the supply function x = f(p) that satisfies the initial conditions. dx 10 x = 160 when p = $1…

A:

Q: Because of the absence of predators, the number of rabbits on a small island increases at a rate of…

A: Given that the growth function is: y(t) = y0ekt. At, t=0, y(0) = y0 [This is the initial…

Q: |The projected rate of increase in enrollment at Newhampton College is estimated |by dE 5000(t +…

A: Isolate the variables E and t in the given differential equation. dEdt=5000t+1-32dE=5000t+1-32dt

Q: ologists estimate that, when the population of a certain city is x thousand persons, the average…

A: Answer

Q: Suppose that a steel company views the production of its continuous caster as a continuous income…

A: Given the income function as, ft=24,000e0.05t.

Q: The annual net sales (revenue) earned by Nintendo in the fiscal years 2000-2014, can be approximated…

A:

Q: Suppose that a steel company views the production of its continuous caster as a continuous income…

A:

Q: Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate…

A: Given: dx/dt=4300-4300(190/(t+20)^2)

Q: Suppose that a vending machine service company models its income by assuming that money flows…

A: Total income over first 8 year is:-

Q: Alice measures a radioactive sample at 1400 counts/minute on a Geiger counter. If the radioactive…

A: Given: Initial value, R0=1400 counts/min Ending value, R = 1000 counts/min Time that has passed, t =…

Q: Find the present value P of a continuous income flow of c(t) dollars per year using c(t)e-rt dt, J-…

A:

Q: Suppose that a steel company views the production of its continuous caster as a continuous income…

A: Monthly rate flow is , f(t)=36,000e0.03t. "t" denotes number of months. We have to find for 12…

Q: A 1000 gallon tank, initially full of water, develops a leak at the bottom. Given that 200 gallons…

A:

Q: Find the amount of medicine to which the body is most sensitive by finding the value of M that…

A: Given

Q: A small brewery considers the output of its bottling machine as a continuous income stream with an…

A: Given that the output of its bottling machine as a continuous income stream with an annual rate of…

Q: the number of U.S. Citizens aged 65 year and older from 1900 through 2050 is estimated to be growing…

A: Given: Rt=0.063t2-0.48t+3.87 As it is given that 0≥t≤15 Hence, t=0 for 1900 and t=10 for 2000 and…

Q: Determine whether the following statements is true or false, and explain why.

A: Given that, ft=1000e0.05t

Q: A certain species of turtle faces extinction because dealers collect truckloads of turtle eggs to be…

A: N(t) = 2t3 + 3t2 − 4t + 1,000 represent the turtle population at the end of the year t.  The turtle…

Q: Media consultants for the new local magazine IT-Solutions! have projected that the number of sub-…

A:

Q: A company has invested in an online tool that is expected to generate a continuous revenue at a rate…

A: Consider the given information:

Q: Find the present value P of a continuous income flow of c(t) dollars per year using where t1 is the…

A: Given, c(t)=100,000+4000, r=5%, t1=10 p=∫0t1c(t)e-rtdt Now plug the values of t1  and r…

Q: The rate of flow of a continuous income stream (in thousands of dollars per day) is given by f(t) =…

A: the total income produced during the first thirty days of operation -  The rate of flow of a…

Q: Based on a preliminary report by a geological survey team, it is estimated that a newly discovered…

A: Answer:Given R(t)=800t2t3+32+5  ,  0≤t≤20let n(t) be no. of barallels of…

Q: Billy-Sean O'Hagan has been using the company servers for his (classified) student intern work at…

A: Given,q(t) = 5.8e0.1t + 3.3

Q: (a) If A is the area of a circle with radius r and the circle expands as time passes, find in terms…

A:

Q: Find the present value P of a continuous income flow of c(t) dollars per year using P = c(t)e-rt dt,…

A:

Q: 1) The development of a new amusement park on the outskirts of a city is expected to increase the…

A: Rate of increase in population is . The projected population will be given by integrating the rate…

Q: On the basis of data obtained from a preliminary report by a geological survey team, it is estimated…

A: Given r(t)=3.735t^(3.65)e^(-1.351t) thousand barrels per year

Q: Suppose that a vending machine service company models its income by assuming that money flows…

A:

Q: A company that services a number of vending machines considers its income as a continuous stream…

A: Given,

Q: It has been estimated that the total production of oil from a certain oil well is given by T(t) =…

A:

Q: Suppose that a community contains 15,000 people who are susceptible to Michaud’s syndrome, a…

A:

Q: Find the demand function x = f(p) that satisfies the initial conditions. dx 800 x = 20,000 when p =…

A:

Q: A mining expert estimates that the production growth rate of copper overtime, or /dt , is given by…

A: We will use method of solving Leibnitz's linear differential equation

Q: The rate of flow of a continuous income stream (in thousands of dollars per day) is given by f(t) =…

A:

Q: The population of a culture of bacteria has a growth rate given by p'(t) = 210 bacteria per hour,…

A: Given data is: The population of a bacteria growth culture is: p't=210t+1r  The increase in…

Q: Q2 The rate of heat transfer of a body can be express as: dT = -k(T – Ta) dt where T= temperature of…

A: Using Euler's method we can find the solution, the initial values are t0 = 0 and T0 = 90°C The…

Q: Consider the price-demand equation given by 8 x. 2, 500 Calculate E(0.25), where E is the elasticity…

A:

Q: The development of a new amusement park on the outskirts of a city is expected to increase the…

A:

Q: A certain species of deer is to be introduced into a forest, and wildlife experts estimate the…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is compare this…

Q: Consider a tank that initially contains 100 gallons of a solution in which 50 pounds of salt are…

A: Here I am attaching image so that you understand each and every step.

Q: A bacterial population B is known to have a growth rate proportional to B itself. If between 3pm and…

A:

Q: A new fast-food firm predicts that the number of franchises for its products will grow at the rate…

A:

Q: Suppose that a factory worker starts to make face masks at t = 0 and his rate of change of…

A:

Q: The population of a city (in millions) at time t (in years) is P(t)=2.8e0.008t, where t=0 is the…

A: Given data:   The expression for the given population at any time t is: P(t)=2.8e0.008t.     The…

Q: The rate of growth of a population P of an endangered bird is given by dP/dt = kP + N  where N is a…

A:

Q: A company that services a number of vending machines considers its income as a continuous stream…

A: Given that : A company that services a number of vending machines considers its income as a…

Q: (a) Media consultants for the new local magazine ITRave! have projected that the subscriptions will…

A: The formula for the substitution method for definite integrals is given by…

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.