A population of rabbits oscillates 24 above and below average during the year, hitting the lowest value in January (t = 0). The average population starts at 700 rabbits and increases by 8% each month. Find an equation for the population, P, in terms of the months since January, t.

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Q: 3. Nevada's population in 1990 was 14.2 million and can be modeled by y = 14.2e0.0079t where t is…

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Q: A new building that costs $1,000,000 has a useful life of 100 years and a scrap value of $200,000.…

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A: Given, The price P of a gallon of gas after t years is given by the equation  P = P0(1+r)t , Where…

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A:

Q: The population of Pacifica was 1,000,000 people in in 2010.  The growth population is given by the…

A: a) C=integrating constant  At 2010, t=0 , P=1,000,000 Using that we find C t=number of years…

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: An arrow is shot vertically up into the air with an initial vertical velocity of 60 m/s, and its…

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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.

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Q: The population of a city is modeled by the equation  P(t)=217,837e^0.15t where t is measured in…

A: The population of a city is modeled by the following function Pt = 217,837e0.15t…

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Q: 1. Given the equation, y = 30(1.25- .5)^x; does it represent growth or decay? What is the rate of…

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Q: The metabolic rate r (in kilocalories per day) of any mammal can be modeled by using the formula r =…

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

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Q: The temperature in a laboratory is maintained at 20°C. A warm bath is left to cool down and the rate…

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Q: If an object is dropped from a 192-foot-high building, its position (in feet above the ground) is…

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Q: The population of a bacteria colony triples every hour. If the initial population is 100 a) write an…

A: image is attached

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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: 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: During the first 45 seconds of a rocket flight, the rocket is propelled straight up so that in t…

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Q: During the first 45 seconds of a rocket flight, the rocket is propelled straight up so that in t…

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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 population of a city is growing at a rate of 7.2% per year according to the formula P(t)=12000…

A: Given,  The population growth formulaP(t) =12000e0.072t and rate of growth r = 7.2%we have to find…

Q: A population of bacteria is growing according to the equation P(t) = 1550e0.11t , where t is the…

A: The time dependence of the population is given by: P(t) = 1,550e0.11t  We have to find t when P(t)…

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

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Q: If we put a cool object into a preheated oven, Newton's law of heating tells us that the difference…

A: Given expression is D=3000.98t where D is the temperature difference between the oven and the potato…

Q: we put a cool object into a preheated oven, Newton's law of heating tells us that the difference…

A: GivenInitiall potato temp = 75° oven temp = 375°difference = 375-75difference =300°D = 300 x 0.98tD…

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: A factory is dumping pollutants into a river at a rate given by dx/dt = t3/4/600 tons per week,…

A: First we separate the variables

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: If an object is dropped from a 150-foot-high building, its position (in feet above the ground) is…

A: Negative sign of the velocity is due to the downward movement of the body.

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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 factory is dumping pollutants into a river at a rate given by dx/dt=t3/4/400 tons per week, where…

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Q: The pH of a solution is given by the formula pH = −0.4343 In a, where a is the activity of hydrogen…

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Q: The height g metres, of a ball hit vertically upwards t seconds after it is hit, is given by g()=…

A: The height of the ball thrown vertically upwards is given by gt=4t-t2 where t is time in seconds.…

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: The population of a bacteria colony triples every hour. If the initial population is 100 write an…

A:

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

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Q: For a period of time, an island's population of penguins grows at a rate proportional to its…

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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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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.