The growth model A = 112.5e0.012t describes Mexico’s population, A, in millions, t years after 2010. Solve, a. What is Mexico’s growth rate? b. How long will it take Mexico to double its population?

Q: Solve. The half-life of silicon-32 is 710 years. If 60 grams is present now, how much will be…

A:

Q: Traces of burned wood were found to contain approximately 2% of the original amount of Carbon 14. If…

A: The amount A of a radioactive material present at time t is given by At=A0ekt Where, A0 is the…

Q: The population of bison in Canada was found to have a growth rate of  20%. If the If the population…

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Q: Biologists stocked a lake with 700 fish and estimated the carrying capacity to be 6300. The number…

A: Dear student you are not provide what are a ,c ,b stand for . We are calculate the value in terms of…

Q: Determine whether the following equation represents an exponential growth or exponential decay.…

A: The equation given is y=199·(0.08)x. Exponential growth means when the successive function values…

Q: Does the model  y = 120e−0.25x  represent exponential growth or exponential decay? Answer: _______

A:

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

A: This question is based on exponential Function.

Q: In 2011 a country had a population of 117 million and a growth rate of -0.372%.  Assuming that this…

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Q: Write an equation for an exponential growth function   y=f(x) where the initial population is 6000…

A: The exponential growth function with initial population A and growth factor k is represented by,

Q: The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1%…

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Q: Write a real world problem, explaining initial value and rate that could be modeled with the…

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Q: The earth's atmospheric pressure, P, in terms of height above sea level is often modeled by an…

A: the exponential function is given by P=a1-rh here initial pressure is a=1013 millibar and the…

Q: Use the exponential decay model, A = A0ekt, to solve:The half-life of aspirin in your bloodstream is…

A:

Q: In 2000 (t=0), the world consumption of a natural resource was approximately 20 trillion cubic feet…

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Q: 2. In the midyear of 2020, a country's population 109,581,078 with a growth rate of approximately…

A:

Q: Pretend the world's population in 1989 was 4.7 billion and that the projection for 2012, assuming…

A: Use the below formula to find the annual growth rate.

Q: Biologists stocked a lake with 700 fish and estimated the carrying capacity to be 9700. The number…

A:

Q: 6. The number of motor vehicles in the world is N, in millions, can be modeled by the equationN =…

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Q: Since January 1980, the population of the city of Brownville has grown according to the mathematical…

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Q: Use the exponential decay model, A = Agekt, to solve this exercise. The half-life of polonium-210 is…

A: Consider that exponential decay model of polonium -210 follows: A=A0ekt. Given half life is 140…

Q: A rare Amazonian flower is experiencing exponential growth in its population. the equation that…

A: Given expression  y = 40000(1.05)x

Q: Nigeria has a growth rate of 0.025 or 2.5%. Describe what this means?

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Q: The gross domestic product, G, of Switzerland' was 685.4 billion dollars in 2013. Give a formula for…

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Q: A scientist discovered a new material that expands at an extremely fast rate. After studying this…

A: Given problem:- A scientist discovered a new material that expands at an extremely fast rate. After…

Q: An exponential function in the form y = 2401(b)* contains the point (4, 1). What is the value of b?

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Q: Use the exponential decay model, A = A0ekt, to solve:The half-life of iodine-131 is 7.2 days. How…

A: given A=A0ekt half-life is 7.2 days

Q: The mass of a colony of bacteria increases in mass exponentially from 2 to 7 g in 5 hours. Determine…

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Q: In 2001, a sum of $3000 was invested at a rate of 6.5% per year for 18 years. a) Write an equation…

A: Since nothing is mentioned about the type of interest provided, lets assume it to be simple…

Q: The half-life of carbon-14 is 5730 years. A frozen human mummy was discovered in a glacier. It was…

A:

Q: An ant colony is growing 28% per day. A. Is the model for this growth linear or exponential? B. Set…

A: It is given that the colony is growing 28% per day. That is, the value of an ant colony is growing…

Q: A fruit fly population of 24 flies is in a closed container. The number of flies grows…

A: Given that initial population of flies is 24. it reaches 384 in 18 days growth is exponentially, so…

Q: In the year 1998, the age-adjusted death rate per 100,000 Americans for heart disease was 235.9. In…

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Q: Pretend the world's population in 1989 was 4.3 billion and that the projection for 2014, assuming…

A:

Q: The y - value of a car (in thousands of dollars) can be approximated by the model y = 25〖(0.85)]t,…

A: topic- exponential function

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: At the start of the year 2022, the world's population will be around 4.5 billion. The current growth…

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Q: Biologists stocked a lake with 300 fish and estimated the carrying capacity to be 9400. The number…

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Q: A petri dish has 10,000 bacteria in it. After 2  hours the bacteria's population increased to…

A: This question is based on exponential Function.

Q: 14) The formula A = 3,000e0275? describes the growth rate of a certain type of bacteria, where A =…

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Q: A lab culture initially contains 500 bacteria. Two hours later, the number of bacteria decreases to…

A: Given: B(0)  = 500, B(2) = 200, B = B0akt

Q: Biologists stocked a lake with 500 fish and estimated the carrying capacity to be 6200. The number…

A: Given that,        Biologists stocked a lake with 500 fish and estimated carrying capacity to be…

Q: 2. In the midyear of 2020, a country's population is 109,581,078 with a growth rate of approximately…

A: Current population (in mid 2020) of a country is 109,581,078 Growth rate is 1.35% then to find the…

Q: xpected to grow. What will be the population in 2019

A: Given: Let the number of crabs in June 2018 N0 = 49,000 Let r be the growth rate of crabs and r =…

Q: Solve 1. The half-life of carbon-14 is known to be 5720 years. Doctor Frankenstein has 300 grams of…

A: Consider the following formula of exponential change: N=N0e-kt where, N=Amount of carbon-14 after t…

Q: Biologists stocked a lake with 600 fish and estimated the carrying capacity to be 7400. The number…

A: The form of the logistic equatIon is: y(t)=c1+aebt The carrying capacity is: 7400 Therefore c = 7400

Q: A scientist discovered a new material that expands at an extremely fast rate. After studying…

A: We have to use exponential growth function to solve the problem

Q: The half-life of Carbon-14 is 5770 years. Wooden carving contains 30% of the amount of Carbon-14 in…

A: Let there was x units of carbon at the starting.  30% of x=0.30x So now there is 0.30x units of…

Q: In 1990 (t = 0), the world use of natural gas was 74709 billion cubic feet, and the demand for…

A: Explained below

Q: The growth model P=208e0.008t describes the population of the United States, in millions, t years…

A: P=208e0.008t

Q: An antique computer valued at $6500 depreciates at the rate of 14% per year (b=0.86). LINEAR or…

A: algebra equation

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.