The rate growth of a population is proportional to the present population. If it is 1000 initially and 2000 ten hours later, how long will it take in hours to reach 5000?

Q: A radioactive substance decays at a rate proportional to the amount present, and half the original…

A: given radioactive substance that its half life is 1500 years. we have to find time after which the…

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: A man invested 1000 dollars in an account. How long will it take before this investment will triple…

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Q: if the population of Palestine is 6 million in 2020  with a growth rate of 3%/yr when it is expected…

A: Given: The population of Palestine is 6 million in 2020  with a growth rate of 3%/yr

Q: A population of rabbits grew from 10 to 3000 in 24 months. Determine the doubling rate.

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Q: Initially 56 grams of radioactive substance was present. After 8 hours the mass had decreased by 6%.…

A: Let's find.

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: A town has a population of 260 000. Its population has been growing at an annual rate of 3.1% for…

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

A: Here we solve the given population growth problem.

Q: At current growth rates, the earth’s population is doubling about every 69 years. If this growth…

A: Number  of years - To calculate

Q: The population of an island grows at a rate proportional to its population. If the growth rate is 5%…

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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: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

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

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Q: Kayden is going to invest in an account paying an interest rate of 4.2% compounded continuously. How…

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Q: Lucy invested $6,000 into an account that earns 6% interest compounded continuously. Approximately…

A: Directly use the formula for compound interest.

Q: The half-life of Carbon-14 is 7 years. How much of an initial 131 g sample will remain after 45…

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Q: The rate of decomposition of radioactive radium is proportional to the amount present at any time.…

A: The rate of decomposition is proportional to y, we know that y=Cekt, where t is the time in years.…

Q: The population of Jefferson City is 95,000. Assuming a growth rate of 2.5% pee year, what will the…

A: Given that population of Jefferson city is P=95,000.  growth rate is R=2.5% per year we have to find…

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 bacteria culture the rate of increase in a number of bacteria is proportional to the…

A: Follow the steps below to solve a differential equation(in terms of x and y) by the variable…

Q: The population of country doubles in 100 years. How many years will it be five times as much? Assume…

A: Denote T as the total population of the country, denote S as the initial population in the country…

Q: How much money should be invested at a rate of 6% compounded continuously to produce an amount of…

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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…

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Q: Suppose an unknown radioactive substance produces 800 counts per minute on a Geiger counter at a…

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Q: The growth rate of a colony of rabbits is 40% per month. If the initial population of the colony 100…

A: The initial population of the rabbits is 100. It is given that the growth rate of rabbits is 40% per…

Q: The value of a savings bond is growing by 2.8% per year compounded continuously. At this growth…

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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: Initially 53 grams of radioactive substance was present. After 6 hours the mass had decreased by 6%.…

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

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

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Q: The growth rate of a certain strain of bacteria is unknown, but assumed to be constant. When an…

A: Given that the bacteria is growing at a constant rate. Initially there were 1500 bacteria and after…

Q: If the rate of growth of a population continues at 2%, in how many years will the population double?…

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

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Q: How long it will take $5,000 to be double, when invested at an annual interest rate of 4% if the…

A: Given query is to find the time taken toake an invy double when interest rate is 4% and compounding…

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

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Q: The population of an endangered species decreases at a rate of 7% per year. Approximately how long…

A: Answer

Q: How long will it take to double your money if it is invested at a fixed interest rate of 6%…

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Q: In one experimental study, the growth of a certain insects is increasing at a rate proportional to…

A: Given: The growth of insects is increasing at a rate proportional to the number present. To Find:…

Q: Initially 48 grams of radioactive substance was present. After 6 hours the mass had decreased by…

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

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Q: A certain population of rabbits grows proportionally to its size. If initially there are 1000…

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

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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: A radioactive substance has a half-life of 4 hours. How much of it is left after 12 hours?

A: Since, a radioactive substance has a half-life of 4 hours.Our aim is to calculate the amount of…

Q: The half-life of plutonium 239 is 24,200 years. Assume that the decay rate is proportional to the…

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