The population of a community is known to increase at a rate proportional to the number of people present at timet. if the initial population is doubled in 5 years, how long (in years) will it take to triple the population? Round answers to 2 decimal places, no units needed.

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 rate of decay of radium is said to be proportional to the amount of radium present. If the…

A: Given : S=the amount of radium you start with=250gm t=the amount of time in years=950 years  h=the…

Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…

A: Given by If Palladium has a half-life of of 4 days then the model is: A = A0(1/2)(t/4) We are given…

Q: The rate at which bacteria multiply is proportional to the instantanous N numbers present. If the…

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Q: At what nominal rate compounded continuously must money be invested to triple in 7 years? ..... A…

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Q: There are currently 100 cells in a culture and it grows at a rate proportional to its size. After…

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Q: 2) Water is pouring into an inverted cone at the rate of 8 cubic me- ters per minute. If the height…

A: Given that Height of cone h=12 m radius of its base r=6 m rate of pouring water into cone dVdt=8 m3

Q: The rate of decay of radium is proportional to the amount present at any time. The half-life of…

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Q: The rate of decay of radium is said to be proportional to the amount of radium present. If the…

A: Simple rate of decay of radium problem....

Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

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

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Q: at a rate proportional to the current population, and in the absence of other factors, the…

A: Consider at time t the population of mosquitoes is N in the area

Q: The mass of a cube in grams is M=x^3+0.1x^4, where is the length of one side in centimeters. If the…

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Q: In the absence of predators the population of mosquitos in a certain area would inccrease at a rate…

A: Let P(t) be the population of mosquitoes in the area with t in weeks, and k be the rate at whichthey…

Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced…

A: Given , half-life of Palladium-100 is 4 days        t1/2=4 days Let N(t) be the quatity after t days…

Q: The rate at which bacteria multiply is proportional to the instantaneous N numbers present. If the…

A: Let y(t) represents the number of bacteria present in the culture after t hours. Let the initial…

Q: The population of a certain municipality increases at the rate proportional to the present…

A: Here we solve the given population growth problem.

Q: A population of 320 bacteria grows continuously at a rate of 4.2% each day. How many bacteria will…

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Q: 3. Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of…

A: Given: initial mass of Radium  y0=96 mgWe know that General decay equation is y=y0e-kt…

Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…

A:

Q: Each side of a square is increasing at a rate of 5 cm/s. At what rate is the area of the square…

A: Let,

Q: A 10-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A: From Pythagorean theorem in the right triangle,  the length of the ladder is h2+b2.

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: A certain radioactive material loses mass at a rate proportional to the mass present. If the…

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Q: A certain bacteria culture grows at a rate proportional to its size. If 10,000 bacteria grow at the…

A: Given: A certain bacteria culture grows at a rate proportional to its size.

Q: Each side of a square is increasing at a rate of 6 cm/s. At  what rate is the area of the square…

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Q: Bacteria grown in a certain culture increase at a rate proportional to the amount present. If there…

A: This question is based on application of diffrential equation.

Q: In a chemical reaction a substance decomposes at a rate proportional to the amount of substance…

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

A: In a certain culture of bacteria, the rate of increase is proportional to the number present. We…

Q: The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of…

A: It is the application of Derivative.

Q: A 16-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

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Q: After 2 days, 10g of radioactive chemical is present. Three days later, 5g is present. How much of…

A: Given:      After  2 days, 10g of radioactive chemical is present. Three days later5 g chemical is…

Q: The population of Tagum City is increasing at the rate proportional to its current population. In…

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Q: Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of…

A: Solution

Q: A mold grows at a rate that is proportional to the amount present. Initially, there is 5 oz of this…

A:

Q: The length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of…

A: We know for rectangle, Area (A) = Length (l) × width (w) So, rate of change of area, (dA/dt) =…

Q: Radium decomposes at a rate proportional to the amount present. If 100 milligrams of Radium at…

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Q: A radium decomposes at a rate proportional to the amount present. In 100 years, 100 mg of radium…

A:

Q: A mold grows at a rate proportional to its present size. If the original amount doubles in one day,…

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Q: The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced…

A:

Q: In a certain bacteria culture the rate of increase in a number of bacteria proportional to the…

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Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate (in cm2/s) is the area of the…

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Q: The half-life of Palladium-100 is 4 days. After 16 days a sample of Palladium-100 has been reduced…

A:

Q: National Park Service personnel are trying to increase the size of the bison population of the…

A: The increase in population can be calculated as shown below.

Q: National Park Service personnel are trying to increase the size of the bison population of the…

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Q: A puppy weighs 2.0 lb at birth and 3.5 lb 2 months later. If the weight of the puppy during its…

A:

Q: The length of a rectangle is increasing at a rate of 5 cm/s and its width is increasing at a rate of…

A: We have to find

Q: 1. After 2 days, 10 grams of a radioactive substance is present. Three days later, 5 grams is…

A: