A) The population of beavers in a valley doubled between the years 2000 and 2015. Assuming that the beaver population grows exponentially, what is the relative growth rate? Enter either an exact value in log form or a decimal rounded to four places.   B) At the end of 2015, there were 470 beavers. If the beaver population continues to grow at the same rate, find the beaver population of the valley in the year 2023. Use the exact growth rate (or at least six decimal places) to for your calculation, and then round your answer to the nearest beaver.

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A:

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: B- The production of the oil well decline exponentially, the initial flow rate is 1500 STB/day , the…

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Q: 38. What rate of interest compounded continuously will yield an effective interest rate of 6%?

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A: y=a(b)x a is the initial value b is the growth rate=1+r

Q: A stock portfolio increased in value from $100,000 to $117,000 in 2 years. What rate of interest,…

A: To find: The rate of interest, compound continuously. Given: The stock portfolio increased from…

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Q: 9. A culture grows continuously at a rate of 6% per day. If there were 500 organisms initially,…

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

A: Given ,  The population of the world in 1987 was 5 billion and the annual growth rate was estimated…

Q: A bank offered .04% interest on checking accounts reinvested weekly.  a-) Find the associated…

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Q: 10. Oscar invests $46,200 in an account that earns 3.675% interest, compounded continuously. How…

A: Given , Oscar invested amount 46,200 dollars .             Interest is 3.675% it is compound…

Q: A hypothetical country with a population of 20,000 people annually experiences 2000 births, 1700…

A: Given; Population Size=20,000Number of births=2000Number of deaths=1700Number of…

Q: 2. A person invests $2,125 in an account earning 9% per year compounded continuously. How much will…

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Q: An investment will generate income continuously at the constant rate of $1000 per year for 6 years.…

A: For continuous income stream, we have

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Q: The number of bacterla in a certain population is predicted to increase according to a continuous…

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Q: 1. A certain species of virus is increasing in number exponentially every hour. The initial virus…

A: To find growth rate of the virus.

Q: A certain stock has grown continuously from 1980 to 2015. A $15,000 investment in the stock in 1980…

A: A certain stock has grown continuously from 1980 to 2015. A $15,000 investment in the stock in…

Q: A survey estimates the current average cost of college to be $33,245per year.   ​(a) If the average…

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Q: 1. During the exponential phase, E. coli bacteria in a culture increase in number at a rate…

A: It is given that coli bacteria in a culture increase in number at a rate proportional to the current…

Q: A saving account deposit of $150 is to earn 6.5% compounded continuously. What amount should have…

A: Use the formula for the compound interest and substitute the given values than simplify.

Q: Country A has a growth rate of 3.1​% per year. The population is currently 5,892​,000, and the land…

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Q: 1. The population of a certain community follows the law of exponential CIAnge. Il uio prubom |…

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Q: Consider a population that begins growing exponentially at a base rate of 8​% per year and then…

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Q: A fish population starts at 8,000 and decreases by 6% per year. Write an exponential decay function,…

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Q: popultaion of a southern city folow exponential law.  if the population doubled in size over 14…

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Q: The size of a threatened population of bottlenosed dolphins is decaying exponentially with a…

A: To find out the population after 9 months.

Q: A bank offered  .05% interest on checking accounts reinvested monthly.  A- Find the associated…

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Q: find the present value of an investment worth $15,000 in 15 years with 5% interest compounded…

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Q: A population of bacteria grows according to the logistic equa

A: The population of bacteria grows according to the logistic equation dPdt=0.05P(1-0.001P)

Q: 1. The amount of a certain medicine in the bloodstream decays exponentially with a half- life of 5…

A: Here, given that the amount of certain medicine in the bloodstream decays exponentially with a…

Q: 1. A certain species of virus is increasing in number exponentially every hour. The initial virus…

A: We will apply exponential growth formula to solve this question

Q: The count in a bateria culture was 500 after 15 minutes and 1100 after 30 minutes. Assuming the…

A: Aim:  To find the expression for the bacteria count N(t) as a function of time 't' (in minutes).…

Q: 7. At what interest rate compounded continuously must money be invested in order to triple in 10…

A: We know that  P=Aert where A= Principal value r=rate  and t=time

Q: The exponential equation describing the population at any time t with an initial population 2000 and…

A: Given,          The exponential equation describing the population at any time t with an initial…

Q: An Asian country had a population of about 0.90 Billion people in 1995 and a growth rate of 1.3% per…

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Q: The population of a new city started at 1,200; however, it grew at a rate of 2% each year. Express…

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Q: Give two pieces of information that may be used to formulate an exponential growth or decay…

A: We have to give two pieces of information that may be used to formulate an exponential growth or…

Q: Exercise 5. What amount will an account have after 5 years if SI0,000 is imested at a annual rate of…

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Q: A colony of bacteria is grown under ideal conditions in a laboratory so that the population…

A: Exponential functiony= a bx a is the initial population

Q: The population of a country was 113 million in 1990 and the continuous exponential growth rate was…

A: Given, In 1990, Population P=113 million Growth rate r=3% per year Time n=2010-1990=20 years

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Q: An investment of 50,000 php was made in bank that offers 0.5% interest compounded continuously.…

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Q: A person places $20,000 in a savings account which pays 3 percent interest per annum, compounded…

A: Compounded continuously means interest compounded infinitely many times in a year.

Q: The population of a country was 222 million in 1996 and the continuous exponential growth rate was…

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Q: Find the Present Value of an investment that achieved $1,000,000 in 30 years at 6% interest…

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Q: A particular city had a population of 23,000 in 1910 and a population of 28,000 in 1950. Assuming…

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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.