The population of a country doubles in 50 years. How many years will it be five times as much? Assume that the rate of increase is proportional to the number of inhabitants.

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

A: Given,The half-life of Radium-226 is 1590 years. i.e., h=1590A sample contains 200 mg.…

Q: The travel time between two cities is inversely proportional to the average speed. A train travels…

A: Let us suppose that s is the speed and t is the time. Since the travel time between two cities is…

Q: In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

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Q: Number of bacteria in a rapidly growing culture was estimated to be 10,000 at noon, 40,000 after…

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Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A: for the half-life, use the formula y=a0.5tp here initial amount is a=300 mg and the half-life is…

Q: he amount of a certain radioactive substance decreases by 15% every hour. If a sample starts with…

A:

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A: Given: The half - life of Radium - 226 is 1590 years.  A sample contains 300 mg.  To find: Amount of…

Q: What would be the rate of increase of an island population of 1000 that has 30 births and 20 death?…

A: An island population of 1000 that has 30 births and 20 death. We need to calculate What would be the…

Q: The frequency of a vibrating string under constant tension is inversely proportional to its length.…

A:

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

A: The formula to find the amount of remaining radioactive material is given by the expression: An =…

Q: A car is moving at a constant rate (x³+5x22x-24) km in (x+4) hours. What is the rate of the car in…

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Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A:

Q: If a is inversely proportional to the cube root of b, what happens to a if b is 64 times as much as…

A: topic - ratios and proportion

Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

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Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

A:

Q: In a city with 500,000 population, the rate of the spread of a new flu epidemic is proportional to…

A: Let the number of infected people at time t be:  P Therefore: dPdt=kP(500000-P)

Q: In year 1931, the population of Sri Lanka is 24M. in 1945, its population rise to 82M. Assuming that…

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Q: certain culture of bacteria, the rate of increase is proportional to the numberpresent. (a) If it is…

A: (a) Consider y as the number of bacteria at time t and the rate of change of bacteria can be written…

Q: In, a culture, bacteria increases at the rate proportional to the number of bacteria present. If…

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Q: If a piece of machinery depreciates continuously at an annual rate of 4%, how many years will it…

A: To find: The number of years it will take for the value of machinery to halve. Concept used: The…

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

A: Given that - Half Life = t12 = 1590 years.Formula for half life - t12 = ln2kk = ln2t12where,k = rate…

Q: on a given planet , the weight of an object varies directly with the mass of the object. suppose…

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

A:

Q: The distance that a body falls from rest is directly proportional to the square of the time of the…

A: The distance that a body falls from rest is directly proportional to the square of the time of the…

Q: The number of automobiles in a certain small town was 1,525 in 2013, and it was 1,850 in 2018. What…

A: Rate of change of a function f(x) in (a,b) is give by Rate of change =fb-fab-a

Q: 1. If the growth rate of a culture of bacteria is proportional to the number of bacteria present.…

A: Given:  If the growth rate of a culture of bacteria is proportional to the number of bacteria…

Q: n a culture of yeast, the amount of active ferment grows at a rate proportional to the amount ... If…

A: Growth given in the problem has exponential growth. If the quantity growing exponentially is denoted…

Q: A population of a small city had 3000 people in the year 2000 and has grown at a rate proportional…

A: In this question, we will use growth topic of differential equations.

Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

A:

Q: In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

A: Let's find initially present bacteria.

Q: The growth rate of a culture of bacteria is proportional to the number of bacteria present and after…

A:

Q: The half-life of a medication prescribed by a doctor is 6 hours. How many mg of this medication is…

A: The medicine is decaying exponentially. Use the half-life formula to calculate the medicine left…

Q: If y varies inversely as x, what is the percent change in x when y is increased by 60%?

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Q: If the growth rate of a culture of bacteria is proportional to the number of bacteria present and…

A:

Q: On a given planet, the weight of an object varies directly with the mass of the object. Suppose that…

A: This question can be solved using the concept of proportionality

Q: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain…

A: Given half life =1590 years t0=100, time =0t1=50, time =1590t2=25, time = 2(1590)t3=12.5, time =…

Q: The Population of Barangay Siksikan is increasing at a rate proportional to its current population.…

A: ⁎ Given:        The population of Barangay Siksikan i.e, increasing     at a rate proportional to…

Q: Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 feet per…

A: Given that,  intial water level of river =34 feet receding rate of water level = 0.5 feet per day…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain…

A: To find the remaining amount after 4000 years.

Q: The depth of a diver is directly proportional to the time since the diver entered the water. If it…

A: Given that , the depth of diver is directly proportional to the time.

Q: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain…

A:

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

A:

Q: When building a house, the number of days required to build is inversely proportional to with the…

A: Number of days required to build is inversely proportional to with the number of workers. One house…

Q: In a laboratory, it was observed that a colony of bacteria increases at the rate of 30% per hour. If…

A: Given that: Rate of increase = 30%Original number of bacteria = 10000

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

A:

Q: Many people claim that as they get older, time seems to pass more quickly. Suppose that the…

A: We have given that perceived length of a period of times is inversely proportional to  age . We have…

Q: The distance that a body falls from rest is directly proportional to the square of the time of the…

A: Given data: Consider the distance traveled by a body is "y=144 ft", and time is "t". As per the…

Q: The population of the United States was 3.9 million in 1790 and 178 million In 1960. If the rate of…

A: Given,           The population of the United States was 3.9 million in 1790 and 178 million in…

Q: ) Suppose false news spreads in a city of 150,000 in a day. Within a week, 15000 residents hear ne…

A: Solution The total population of the city is 150, 000. Let the number of people who have heard the…