The first recorded population of a particular country was 22 million and the population was 34 million 10 years later. The growth was exponential, find the growth rate to three decimal places.

Q: The count in a bateria culture was 800 after 10 minutes and 1700 after 35 minutes. Assuming the…

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Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

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Q: The population of the world in 1987 was 5 billion and the relative growth rate was estimated at 2…

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Q: The count in a bacteria culture was 500 after 20 minutes and 1500 after 30 minutes. Assuming the…

A: Given that, the count in a bacteria culture was 500 after 20 minutes and 1500 after 30 minutes.…

Q: If the population of a certain city was 100,000 in 1996 and 110,381 in 2006, and if the population…

A: Given that: Population of city = 100, 000 in 1996 and Population of city = 110, 381 in 2006. Also,…

Q: The count in a bacteria culture was 600 after 20 minutes and 1700 after 40 minutes. Assuming the…

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Q: A wooden artifact from an ancient tomb contains 45 percent of the carbon-14 that is present in…

A: A wooden artifact from an ancient tomb contains 45 percent of the carbon-14 that is present in…

Q: Suppose an insect population increases by a constant percentage each month. Explain why the number…

A: Exponential growth increases at an expanding rate with the rate of change for y being proportional…

Q: The count in a bacteria culture was 300 after 15 minutes and 1500 after 40 minu count grows…

A: We will solve.

Q: The population of the city is declining according to the exponential law. if the population went…

A: To find the population in 2022

Q: Suppose a fish population is currently 7000 and 5 years later the population is 11000. Use the…

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Q: The count in a bacteria culture was 500 after 20 minutes and 1700 after 30 minutes. Assuming the…

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Q: Beginning on January 1, 2000, the populations of wolves and rabbits in a certain forest both grew at…

A: According to question,Given dataInitial population of wolves = 65,Rate of increasing Wolves by 25%…

Q: The count in a bacteria culture was 400 after 10 minutes and 1700 after 30 minutes. Assuming the…

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Q: In 2017, the population of a district was 20,800. With a continuous annual growth rate of…

A: Given: In 2017, the population of a district was 20,800. A continuous annual growth rate is of…

Q: A wooden artifact from an ancient tomb contains 40 percent of the carbon-14 that is present in…

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Q: Kathy bought a car for $21,000, and each year it depreciates at a rate of 12%. Write an exponential…

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Q: Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has…

A: Given query is to find the present value of the home.

Q: The count in a bacteria culture was 500 after 20 minutes and 1100 after 40 minutes. Assuming the…

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Q: Sung Lee invests $8,000 at age 18. He hopes the investment will be worth $24,000 when he turns 30.…

A: I am going to solve the given problem by using some simple algebra to get the required result of the…

Q: A wooden artifact from an ancient tomb contains 55 percent of the carbon-14 that is present in…

A:

Q: In 2001 the global capacity to generate wind power was 26.2 MW. By 2020 it had grown to 753.4 MW.…

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Q: Complete the table below using the exponential growth formula. Original Growth Rate per Amount Year…

A: We can answer the question as below.

Q: The count in a bacteria culture was 200 after 15 minutes and 1600 after 30 minutes. Assuming the…

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Q: The count in a bacteria culture was 300 after 20 minutes and 1600 after 30 minutes. Assuming the…

A: To begin with this question, we need to know the exponential growth formula that is Nt = N0ekt where…

Q: is

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Q: The population of an Ontario town grew from 1250 to 10,000 in 5 years due to the establishment of a…

A: The population of a city grows exponentially. Suppose that initially the population is P. If the…

Q: During a certain period of time, a population of 70 northern sea otters had an annual growth of 18%.…

A:

Q: The population of a certain community follows the law of exponential change. If the present…

A: Topic = Algebra

Q: A wooden artifact from an ancient tomb contains 55 percent of the carbon-14 that is present in…

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Q: The town of Diamond Wish, which initially had 20 000 people, began to experience an exponential…

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Q: A car is purchased at $18,000. The car depreciates by 5% each year. Give the exponential model. How…

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Q: A wooden artifact from an ancient tomb contains 35 percent of the carbon-14 that is present in…

A: The question is exponential function based and we can identify it as we are given the half life. We…

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: The count in a bateria culture was 600 after 15 minutes and 1500 after 40 minutes. Assuming the…

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Q: The count in a bacteria culture was 100 after 20 minutes and 1100 after 30 minutes. Assuming the…

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Q: The population of a certain country was 2.7 million in 1990 and 3.6 million in 2010. Find the annual…

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Q: The count in a bacteria culture was 700 after 20 minutes and 1400 after 30 minutes. Assuming the…

A: Given data: Count in bacteria culture after 20 mins=700 Count in bacteria culture after 30…

Q: Oganesseon 294 has an exponential decay rate of 38.51% per millisecond what is the half life

A: Let N(t) be the amount of Oganesseon 294 at time t. Exponential decay rate is:  r = 38.51%

Q: The population of a country was 109 million in 1984 and the continuous exponential growth rate was…

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Q: The count in a bateria culture was 800 after 15 minutes and 1900 after 35 minutes. Assuming the…

A: As per policy, the first three parts are answered.

Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

A:

Q: an effort to control vegetation overgrowth, 65 rabbits are released in an isolated area free of…

A: Given : a =65  t = 2 Total = 585

Q: The count in a bacteria culture was 300 after 15 minutes and 1800 after 30 minutes. Assuming the…

A: It is given that, Initially, at time t1=15 min. the bacteria count was N1=300 While, at time t2=30…

Q: The population of the world in 1987 was 5 billion and the annual growth rate wa percent per year.…

A: detailed solution is given below

Q: A house purchased for $20,000 at an interest rate of 2% and was just sold for $60,000. Assuming…

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Q: The count in a bacteria culture was 400 after 20 minutes and 1000 after 40 minutes. Assuming the…

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Q: The count in a bateria culture was 600 after 15 minutes and 1000 after 35 minutes. Assuming the…

A: Count N(t) will be given as: N(t) = N0ert At t = 15; N = 600 At t = 35; N = 1,000

Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in…

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Q: The count in a bacteria culture was 100 after 20 minutes and 1100 after 40 minutes. Assuming the…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.