Find the annual growth rate of the quantity described below. A population doubles in size after 21 years. Round your answer to two decimal places.

Q: An investment grows by 8% per year for 10 years. By what percent does it increase over the 10-year…

A: Given that - An investment grows by 8% per year for 10 years. By what percent does it increase over…

Q: The population of a certain island has an annual growth rate of 6.9%. If you start with a…

A: We can solve this as below

Q: DA bacteria Culture that exhibts exponential double in size growth in 10 days. ㅋ Find the growth…

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Q: Q7. A 150 grams of a radioactive gas is accumulated in a container. After 3 months, only 141 grams…

A:

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

A: Given data is : The population of world in 1987 is 5 billion. Growth rate is 2% per year. To find…

Q: In a Science class experiment, the population of insects increases according to the law of…

A:

Q: has

A: Given an exponential function has a growth factor of 3.77. To find the percentage growth rate

Q: Suppose you invest $17,000 at age 25 and want the investment to be worth $25,000 when you turn 35.…

A: Given, Amount invested = $17,000 Future value = $25,000 time in years = 10 Used formula, Formula for…

Q: The amount of radioactive substance after t years is modeled using A=Cekt. a one kilogram sample has…

A:

Q: Suppose you invest $16,000 at age 25 and want the investment to be worth $25,000 when you turn 35.…

A:

Q: The y value of a car (in thousands of dollars) can be approximated using the model y = 25 〖(0.85)〗 ^…

A:

Q: An exponential function has a growth factor of 1.07. What is the percentage growth rate?

A: Let's understand with the help of an example. Let salary of a person increases by 25% per year and…

Q: A wooden artifact from an ancient tomb contains 25 percent of the carbon-14 that is present in…

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Q: A chemical substance has a half-life of 5 hours.how much of a 82-gram sample remains after 12 hours?…

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Q: A woman invests $6200 in an account that pays 6% interest per year, compounded continuously. (a)…

A:

Q: Use a growth rate of 1.4​% to predict the population in 2061 of a country that in the year 2006 had…

A: Given, the population in 2006 = 100 million                           Growth rate(r)=1.4%=0.014

Q: Suppose a country has a population of 50 million and projects growth rate of 5% per year for 20…

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Q: What is the exponentially rate of 0.85% every what ?

A: This question can be solved using the exponential growth of a function at a annual rate of r%…

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

A: According to the question: Given that: The population of the world in 1987 was 5 billion So, P1987=5…

Q: This equation is about the exponential growth and decay functions. In which “the number y of…

A: The function is y=a(1230.25)^t/16 We need to convert it into the form y=a(1+r)^n where r = Growth…

Q: The half-life of a certain tranquilizer in the bloodstream is 44 hours. How long will it take for…

A: It is given that the half-life of a certain tranquilizer in the bloodstream is 44 hours.

Q: A bank account grows by 8% each year. By what percentage does it grow each month? (Round your answer…

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Q: A woman invests $6400 in an account that pays 6% interest per year, compounded continuously. (a)…

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Q: Find the half-life of a radioactive substance if 250 grams of the substance decays to 190 grams in 7…

A: Consider N0 be the initial amount of substance

Q: In 2005, the population of a district was 28,300. With a continuous annual growth rate of…

A: Consider the given information as Initial population in 2005 is 28,300 and growth rate is 7%

Q: Find the annual growth rate of the quantity described below. A stock portfolio drops to one-tenth…

A: Suppose initial amount is $100then according to the questionFinal amount after 3 year is 100/10 =…

Q: The population of retired citizens in Dallas is 88800. If the population decreases at a rate of 8.8%…

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Q: Use the approximate​ half-life formula for the case described below. Discuss whether the formula is…

A: Hence the half life of forest is 13.86 years.

Q: Ask Your Teacher   If the rate of growth of a population continues at 3%, in how many years will…

A: Given that growth rate =3%= 0.03 So, growth factor = 1+0.03=1.03 Let, y= population after t years.…

Q: A woman invests $6200 in an account that pays 6% interest per year, compounded continuously. (a)…

A: Given that she invests $6200 in an account that pays 6% interest per year.

Q: Radioactive radium has a half-life of approximately 1599 years. What percent of a given amount…

A: NOTE: Refresh your page if you can't see any equations. . for the half-life, use the formula here…

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

A: Standard equation of a exponential growth is y= a(1+r)x here y gives population after x years. a is…

Q: Radioactive radium has a half-life of approximately 1599 years. What percent of a given amount…

A: The above problem is based on Radio active decay  Formula: A=AoeCt A= remaining amount of radium at…

Q: 9

A: Given:- A bank account grows by 6% each year=

Q: The first recorded population of a particular country was 22 million and the population was 34…

A: Given,The first recorded population of a particular country was 22 million and the population after…

Q: An exponential function has a growth factor of 1.03. What is the percentage growth rate?

A: Given:        Growth factor=1.03

Q: a) how long will it take an investment to double in value if the interest rate is 6% compounded…

A: Given that the investment has doubled. ie., A(t) = 2A(0)  ....(1) Interest rate is 6%

Q: The current student population of Boston is 2900. If the population increases at a rate of 15.9%…

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Q: In 2000 the population of a small village was 2,400. With an annual growth rate of approximately…

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Q: A woman invests $6200 in an account that pays 6% interest per year, compounded continuously. (a)…

A: Given, Principal = p = $ 6200 Rate of interest = r = 6 % annually   We have to solve for part a and…

Q: Mai invests $20,000 at age 20. She hopes the investment will be worth $500,000 when she turns 40. If…

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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 2000 the population of a district was 750,000. With a continuously compounding growth rate of…

A: Formula used:Exponential growth model (Continuous): A(t) = P(e^rt), where P is the initial…

Q: A woman invests $5800 in an account that pays 6% interest per year, compounded continuously. (a)…

A:

Q: Suppose that the dollar value v (1) of a certain house that is / years old is given by the following…

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Q: Suppose you invest $14,000 at age 25 and want  the investment to be worth $25,000 when you turn 35.…

A: Given: Amount invested = $14,000 Number of years = 10 years Amount after 10 years = $25,000   To…

Q: a.How long will it take an investment to double in value if the interest rate is 4% compounded…

A: Given query is to find the time taken to double the investment.

Q: The population of a town with a 2016 population of 60,000 grows at a rate of 1.8% per year. Find the…

A:

Q: The current student population of Oklahoma City is 2100. If the population increases at a rate of…

A: Initial population is 2100  Rate of increment= 9.9%

Q: The half-life of a certain tranquilizer in the bloodstream is 23 hours. How long will it take for…

A: The half‐life of a certain tranquilizer in the bloodstream is 23 hors. To determine how long will it…

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.