A study of the annual population of butterflies in a county park shows the population, B(t), can be represented by the function B(t) = 137(1.085) , where the t represents the number of years since the study started. Based on the function, what is the growth rate? %

Q: Tony opened a savings account whose value after t years after the initial deposit is given by the…

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Q: Suppose the population of fish in a lake is modeled by the function P = 442e0.034t, where t is…

A: topic - exponential function

Q: 3. Since 1960, the growth in world population (in millions) closely fits the exponential function…

A: Given that, since 1960 the growth in world population (in millions) closely fits by the given…

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Q: $10,000 is invested at an annual interest rate of 11% for a period of 5 value of the investment if…

A: the formula used to find the interest which is compounded continuously is Amount=Pert where A is the…

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…

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

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Q: A principal of $5000 was invested at 4.75% interest, compounded annually. Let / be the number of…

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Q: In 1997, a principal of $4300 was invested at 6.75% interest, compounded annually. Let t be the…

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

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Q: The logistic growth function models the percentage, P(x), of Americans who are x years old with some…

A: Consider the given year as x= 80. Given logistic equation is P(x)=901+271e-0.122x.

Q: For the graphed exponential equation, calculate the average rate of change from x = -4 to x = 4.…

A: At x=-4 and x=4 the points are (-4,0) and (4, -5)  so, f(-4)=0 and f(4)=-5

Q: Complete the table to determine the balance A for $13,000 invested at rate r = 7% for t years,…

A: Compound interest = P ert r = 7% = 0.07 P = $13000

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: 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: The population P(t) of a town, in thousands, t years after 1900 can be described by the rule…

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Q: The logistic growth function models the percentage, P(x), of Americans who are x years old with some…

A: Given: Px=901+271e-0.122x

Q: The logistic growth function models the percentage, P(x), of Americans who are x years old with some…

A: the logistic growth fuction models the percentage,P(x), of Americans who are x years old with some…

Q: The logistic growth function P(x) = models the percentage. P(x), of Americans who are x years old…

A: We have to find the age of American citizens at which 56% of the people has some heart coronary…

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

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Q: The function represents the rate of flow of money in dollars per year. Assume a 10-year period and…

A: Given that,  function f(x) = 0.03 x + 400 Rate r = 8 %  = 0.08 Time period is of 10 years. So time…

Q: An investment decreases by 50% over a period of 12 years. At what effective annual percent rate does…

A: Given Data: The investment decreased by: D=50% The time period is: n=12 years The decreased…

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

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Q: A population of cattle is increasing at a rate of 800 + 80 t per year, where t is measured in years.…

A: Growth of population is given by the eq. 800+80t. We have to determine the population increase in…

Q: Stan invests $5,000 at age 18. He hopes the investments will be worth $10,000 when he turns 25. If…

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

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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: determine the time neeessary for P dollars to double when it is invested at interest rate r…

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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: Complete the table to determine the balance A for $13,000 invested at rate r= 7% for t years,…

A: Principal amount = $13000 Interest rate = 7% = 0.07 Time = t years Compound interest compounded…

Q: act from an ancient tomb contains 40 percent of the carbon-14 that is present in w long ago, to the…

A: I have appended the formula used in the solution part

Q: The population of the prosperous city of Mathopia was 200,000 people in the year 2000. In the year…

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Q: Q2) Suppose Tom Sawyer invested $6000 in stocks and the investment grew exponentially to $6103.20 in…

A: topic - exponential function

Q: The logistic growth function P(x)=901+271e−0.122x models the​ percentage, P(x), of Americans who…

A: The logistic growth function, Px=901+271e-0.122x models the percentage, P(x) of Americans who are x…

Q: (a) What is the continuous percent growth rate for P = 130e0.037 with time, t, in years?

A: For an exponential functionP=P0ektwhere P0=initial valuek=continous growth ratet=time

Q: A news broadcast in early 1990 said the average American's annual income is changing at a rate of…

A: Given information : r(t)=35(1.003)t Objective is to find that How much did the average American's…

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

A: We have to find P(x) at x=80

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

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Q: How long will it take for an investment to double in value if it earns 62​% compounded​…

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Q: Consider the exponential function f(x) = 25,000 0.88*, which models the amount of money remaining in…

A: Given: an exponential function f(x) = 25000 × (0.88)x It is in the standard form of equation…

Q: A woman invests $6500 in an account that pays 6% interest per year, compounded continuously.(a) What…

A: Compound interest: A woman invests $6500 in an account that pays 6% interest per year, compounded…

Q: 1. In 1958 the carbon dioxide level was 316ppm, today (2022) it is 416ppm. Find the exponential…

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Q: How long it will take for an investment of 2000 dollars to double in value if the interest rate is…

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Q: A radioactive material loses mass according to the exponential relation y = 170 n 28 ) , where y is…

A: y=17012n28

Q: The number of asthma sufferers in the world was about 83 million in 1990 and has been increasing…

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Q: In 2005, a principal of $3200 was invested at 4.25% interest, compounded annually. Let t be the…

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Q: . The population of a bacteria colony after t hours is given by P(() = 2000e growth rate of the…

A: To determine the growth rate of colony at given time.