) Greenland had a population of 55000 in 1980 and a population of 78000 in 1990. Assume that the rate of population growth is proportional to its population at any time t. Calculate the population of Greenland in the year 2020.

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Q: A mold grows at a rate that is proportional to the amount present. Initially there is 6 oz of this…

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Q: The population of a certain city was 34000 in 2010, and the observed relative growth rate is 0.5%…

A: Given information : Population of city in 2010 = 34000 Relative growth rate = 0.5%

Q: A certain radioactive material is known to decay at a rate proportional to the amount present.…

A: Here, initial mass =50 mg rate is proportional to the amount.m=50e-0.053t dmdtαm

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

A:

Q: ) The population of the world in 2015 was 9.75 billion people and was growing at a rate of 25% per…

A: Given query is to find the expression for the population after t years.

Q: 18. A kite string is paid out at a constant rate of 3 ft/s. If the wind carries the kite…

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Q: a)How quickly is the water leaving the barrel over the first two seconds? b)Will the water drain…

A: The solution is given below in the next step:

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Q: snowball melts so that its surface area decreases ata rate of 1cm^2/min, find the rate at which the…

A: Given query is to find the rate of chnage of diameter.

Q: The rate at which radioactive nuclei decay is proportional to the number of nuclei that are present…

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Q: Suppose at the end of the d perature stays constant at M furnace/air conditioner rate A

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Q: When the annual rate of inflation averages 5% over the next 10 years, the approximate cost C of…

A: Consider the approximation cost of goods. Ct=p1.05t Rate of change of C=dCdt. So, Differentiate the…

Q: f. Assume that the population of a certain city increases at a rate proportional to the number of…

A: Note: Since the image contains multiple questions, as per the answering guidelines we are to solve…

Q: A spherical snowball is melting in such a way that its volume is decreasing at a rate of 2 cm / min.…

A: Given-  dVdt=-2cm3/min (negative sign indicates that it is decreasing). To find- The rate of radius…

Q: A population of mites growsat a rate proportional to the number present, y. If the growthconstant is…

A: Assume population at time t is p Let f(t)=population at time t=p

Q: Suppose you have an account (paying no interest) into which you deposit $3,000 at the beginning of…

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Q: Use the fact that the world population was 2560 million in 1950 and 3040 million in 1960 to model…

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Q: A yeast grows at a rate proportional to its present size. If the original amount doubles in two…

A: Let v(t) be size of yeast at t time Therefore, ds/dt  ∝ s(t) ds/dt  = ks   [k is proportionality…

Q: Let  x(V) = V1/3  be the length of the side of a cube in terms of its volume. As V decreases, does…

A: V is decreasing that is dv/dt is negative  Let dv/dt =-k where k is constant.

Q: A vehicle purchased for $29800 depreciates at a constant rate of 5%. Determine the approximate value…

A: Given that , The value of vehicle, (P) = $29,800, Rate of depreciation, (r) = 5% = 0.05 Time (t) =…

Q: 2. In a certain culture of bacteria, the rate of increase is proportional to the number present. If…

A:

Q: As part of the process in the production of a perfume, a certain substance with water is converted…

A: We have to formed a differential equation and solve it get amount converted or amount left

Q: nitially, there were 100 milligrams of a radioactive substance. After six hours, the mass decreased…

A: initially there are 100 milligrams of a radioactive substance. P=100 mg after 6 hour the mass…

Q: A plane flying parallel to the ground at a height of 4 km passes over a radar station R. A short…

A: NOTE: Refresh your page if you can't see any equations. . here we have y=4 when s=5, s'=300 km/h

Q: In a study of eating behavior, the cumulative intake (in grams) of one individual was found to vary…

A: In a study of eating behavior, the cumulative intake (in grams) of one individual was found to vary…

Q: A population of 1000 students are in a dormitory. If initially, a virus infected 25 of them. If the…

A: Let number of students infected at time t be x  Then, number of healthy students at time t = (1000 -…

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

A: All edges of a cube are expanding at a rate of 8 centimeters per second.a To determine how fast is…

Q: a. A tank holds 1000 liters of water, in which 15 kg of salt is dissolved. Pure water enters the…

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Q: All edges of a cube are expanding at a rate of 2 centimeters per second. (a) How fast is the surface…

A: we know that surface area of cube is , S = 6 •  a 2  Here a is side of cube .

Q: Find the PV of an income stream that pays out continuously at a rate of R(t) = 3000e0.1r dollars per…

A:

Q: The population of a district in a town is known to increase at a rate proportional to the number of…

A: We will find out the required initial population of the state .

Q: C. Two cars start moving from the same point. One travels east at 55mi/h and the other travels south…

A: We use Pythagoras theorem

Q: A $25,000 machine depreciates linearly to 0 over a 10 year period. What is the valye of the machine…

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Q: A certain population of bacteria is known to grow at a rate proportional to the amount present in a…

A: Solve for bacteria after 20 hrs

Q: (a) In a certain culture of bacteria the rate of increase is proportional to the number present. (i)…

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Q: Suppose A is directly proportional to t. Explain what happens to t when A is increased by 5%.

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Q: If V(t) is the volume of water in a reservoir at time t (seconds), v(t) is the rate of change,  then…

A: Rate Change: Rate change is defined as the change in one quantity with respect to any other quantity…

Q: 31 An ice (ube is slowly melting, losing 3cm3 of water each hour. If it a lways remains a Perfect…

A: Volume of a cube=(side)^3

Q: If the area A = s of an expanding square is increasing at the constant rate of 8 square inches

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Q: A vehicle purchased for $29800 depreciates at a constant rate of 8%. Determine the approximate value…

A: cost price of vehicle=$29800 Constant rate of depreciates =8% per year We have to find the…

Q: A car traveling at 60 mi/h (88 ft/s) skids 176 ft after its brakes are suddenly applied. Under the…

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Q: A radioactive element decomposes at a rate proportional to the amount present. The amount remaining…

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Q: model a population p if its rate of growth is proportional to the amount present at time t

A: model a population p if its rate of growth is proportional to the amount present at time t

Q: The population of a community is known to increase at a rate proportional to the number of people…

A:

Q: Assume the rate of investment is given by the function I (t) = ln t. Compute the total capital…

A: We solve this problem by using the capital formation i. e. Total capital accumulation=∫t,t2I(t)dt…

Q: What is the result of integrating a population growth rate betweentimes t = a and t = b, where b…

A: Integrating a population growth rate between a to b that is ∫abRatedt

Q: The half-life of a radioactive material whose rate of disintegration is proportional to the amount…

A: Given that, The half-life of a radioactive material whose rate of disintegration is proportional to…

Q: 7. If f (t) = -t2 + 5t + 3, describes the distance that a ball has traveled in meters, what is the…

A:

Q: 2. The population of a country doubles in 50 years. How many years will be 5 times as much? Assume…

A: