Write an equation for an exponential growth function   y=f(x) where the initial population is 6000 and the growth factor is 1.132.

Q: Assume that the number of bacteria follows an exponential growth model: P(t)=P0ekt. The count in the…

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Q: The half-life of a substance is 1200 years. If the initial amount of the substance is 300 grams,…

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Q: If the starting point is 30, and the growth rate is 15%, choose the exponential function.

A: To find the exponential function with the given data

Q: The logistic growth function P(x) = 90 / 1 + 271e-0.122x models the percentage, P(x), of Americans…

A: Given that x= 80 years  We have to find P(80) to find the percentage of 80-year-olds have some…

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: a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When…

A: As per our guidelines, We are allowed to answer three sub-parts.   For Exponential growth function,…

Q: A savings account has an initial balance of $1,000 and earns 3 percent interest compounded monthly.…

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Q: When an antibiotic is introduced intoa culture of 50,000 bacteria, the number of bacteria…

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Q: The number of bacteria in a culture is increasing according to the law of exponential growth. There…

A: Given that The number of bacteria in a culture is increasing according to the law of exponential…

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

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Q: The half-life of a certain tranquilizer in the bloodstream is 45 hours. How long will it take for…

A: Simply put the given values in the exponential decay model.

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

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Q: There were 210 million licensed drivers in the US in 2010 and 222 million in 2016.13 Find a formula…

A: For the given data of US licensed driver   210 million in 2010  222 million in 2016

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

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Q: What is the exponential growth rate change of an investment that has a b=1.92?

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Q: The logistic growth function P(x) = 90 / 1 + 271e-0.122x models the percentage, P(x), of Americans…

A: given: P(x)=901+271e-0.122x where P(x) denotes the percentage of the Americans who are x years old…

Q: The production of an oil well has decreasedexponentially from 128,000 barrels per year 5 years ago…

A: The exponential equation for decay is given by :- y=Abt   ...(i) , where A = initial value, b =…

Q: A population is growing exponentially with growth constant .04. In how many years will the current…

A: Exponential model is Pt=P0ekt Where Pt=Population at any time 't' P0=Initial population t= time…

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: Identify the initial amount and the growth or decay factor for the exponential function. _y = 250 ·…

A: In  an exponential function y=abx, a represents the initial value, b represents growth or decay…

Q: Assume an exponential function has a starting value of 13 and a growth rate of 0.35%. Write an…

A: If a is initial value , r is growth rate expressed as decimal, x is number of time intervals passed…

Q: The half-life of a certain tranquilizer in the bloodstream is 32 hours. How long will it take for…

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Q: Which is the following equations can be used to model exponential growth?

A: As we can see that option C and D are not exponential, they are polynomials   option C has (0.75)^x,…

Q: Write an equation for an exponential growth function where: (a) The initial amount is $65,400 and…

A: (a) Given information: The initial amount is $65,400 and has a growth factor of 1.035. Concept used:…

Q: The population in a small town in 2010 was 45,230 people and is growing exponentially at a rate of…

A: Given: The population of the town in 2010 was 45,230. rate of growth is 2%. An exponential growth…

Q: Given the exponential growth function f(x) = 82(1.032)* What is the initial value of the function?…

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Q: The initial size of a bacteria culture that grows exponentially was 10,000. After 1 day, there are…

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Q: Lea invests $8,333 in a savings account with a fixed annual interest rate of 8%. What will the…

A: According to questionInitial balance (p) = $8,333Interest rate (r) = 8%Time (t) = 12 yearIt is given…

Q: The 2010 population of Asia was 4121 million; in 2050, it is projected to be 5231 million. Write the…

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Q: Given the exponential growth function f(x) = 83(1.0275) What is the initial value of the function?…

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Q: Is y=2^x an exponential function?

A: The objective of the question is conformation about function.

Q: Write an equation for an exponential growth function   y=f(x) where the initial population is 3000…

A: Given,Initial Population is 3000Growth factor is 1.085

Q: Determine whether the equation could represent exponential growth or decay. growth b. decay a. с.…

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Q: Assume that the number of bacteria follows an exponential growth model: P(t)= P0ekt. The count in…

A: Assume that the number of bacteria follows an exponential growth model: P(t)= P0ekt. The count in…

Q: The half-life of carbon-14, 14C, is approximately 5,730 years. A bone fragment is estimated to have…

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: Write an exponential function for a population of 15,000 grows continuously at a rate of 2.5% per…

A: In this question, we need to find the exponential function for a population of 15,000 grows…

Q: If the population of a Nigeria doubles in 9 years, find the growth rate k. Assume that the population…

A: So the equation for the exponential population with growth rate k is given by: Where, A= initial…

Q: The number of computers infected by a virus t days after it first appears usually increases…

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Q: Use the exponential growth formula to calculate the amount of money you will have in the bank after…

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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: When you moved into your dorm room, there were initially 40 termites. After 6 days, there were 125…

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Q: How is Calculus used to derive the exponential growth or decay model?

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Q: A population of 15,000 small deer in aspecific region has grown exponentially to 17,000 in 4 years.…

A: We know that exponential equation to express the population growth is, y=y0ekt Where y0 is initial…

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

A: Exponential Function y=abx,Where a = initial value =20 b>1 , function is exponentially growthRate…

Q: Joe scraped his knee after falling off his skateboard, leaving a wound with an area of 291 mm^2. The…

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Q: Find an exponential equation for the graph. y =

A: Formula:

Q: Write the equation for the exponential function that passes through the points (0, 1) and (3, 53)…

A: The exponential function passes through the points 0,1 and 3,53 with asymptotes as y=-1. Assume the…

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

A: algebra equation

Q: The half-life of carbon-14, 14C, is approximately 5,730 years. A bone fragment is estimated to have…

A: Let the exponential decay equation be A=A0ekt, where A is the amount (in mg) of carbon-14 remaining…

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.