I am stuck in exponential growth and decay. Here is an example. Can someone tell me how to do this step-by-step please? Here it is... The population of Mexico has been increasing at an annual rate of 1.7%. If the

8,681 results
  1. Exponential Growth and Decay

    Can somebody please check my answers? 1. Identify the initial amount a and the growth factor b in the exponential function. g(x)=14*2^x a)a=14, b=x b)a=14, b=2

  2. math

    Part 1: How are exponential growth and decay present in the real world? Give at least 2 examples for exponential growth and 2 examples of exponential decay. Part 2: View and comment on the work of at least 2 other students. Try to choose students whose

  3. Math

    Find the initial value a, growth/decay factor b, and growth/decay rate r for the following exponential function: Q(t)=0.0036(2.58)^−4t a) The initial value is a= (b) The growth factor is b= (c) The growth rate is r=

  4. Math

    A population doubles every 18 years. Assuming exponential growth find the following: (a) The annual growth rate: (b) The continuous growth rate is

  5. Algebra 2

    For the annual rate of change of +70%, find the corresponding growth or decay factor. 0.70 1.70 170 70 For the annual rate of change of -75%, find the corresponding growth or decay factor. -75 1.25 -0.75 0.25 I'm confused, please help? How can I solve

  6. Algebra

    The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 3.7% per hour. How many hours does it take for the size of the sample to double? Note: This is a continuous

  7. Algebra 1- Exponential Growth & Decay

    How are exponential growth and decay present in the real world? Give at least 2 examples for exponential growth and 2 examples of exponential decay. My Answer: I have only been able to think of one example of exponential growth which is hair growth. From

  8. Calculous Pre

    A population grows from 11,000 to 15,000 in three years. Enter your answers to three decimal places. Assuming the growth is exponential, find the growth rate and continuous growth rate Growth rate ______ %? Continuous rate _________ %?

  9. Calculus

    [Exponential growth & decay] The half-life of radioactive strontium-90 is approximately 29 years. In 1965, radioactive strontium-90 was released into the atmosphere during testing of nuclear weapons, and was absorbed into people's bones. How many years

  10. Algebra2

    Determine whether the function represents exponential growth or decay. Then find the y-intercept. y=4(5/6)^x

  11. precalculus

    A population doubles every 30 years. Assuming exponential growth find the following: annual growth rate: % continuous growth rate: %

  12. Emergancy help!!!!!!!!!

    Classify the model as exponential growth or exponential decay. Identify the growth or decay factor and the percent increase or decrease per time period. y=16(1.25)^t

  13. am I right ? or no?

    Which equations represent exponential growth? Which equations represent exponential decay? Drag the choices into the boxes to complete the table. Exponential Growth: y=4000(1.0825)^t ,y=12,000(0.72)^t , y=8000(0.97)^t , Exponential Decay: y=1700(1.25)^t ,

  14. Math

    Write the exponential function y=6(1.21)t in the form y=aekt. (a) Once you have rewritten the formula, give k accurate to at least four decimal places. k= help (numbers) If t is measured in years, indicate whether the exponential function is growing or

  15. math

    3. Write the exponential growth function to model the following situation: A population of 422, 000 increases by 12% each year. 4. At t = 0 there are 50 grams of a radioactive isotope. The isotope has a half-life of 16 minutes. Use the exponential decay

  16. Algebra

    How long will it take for the population of a certain country to double if its annual growth rate is 1.5%? Round to the nearest year. Use the exponential growth model P(t) = P0e^kt

  17. Algebra

    Determine if the equation y = 2^x represents exponential growth or decay I thought at first it was growth but now I think it might be decay because there is no "b" in a parentheses so do I assume b is less than 1 so it's decay? Please help

  18. algebra

    State whether the growth (or decay) is linear or exponential, and answer the associated question. The population of Jamestown is increasing at a rate of 2.5% each year. If the population is 25,000 today, what will it be in 2 years?

  19. Algebra

    What are some real-life examples of exponential decay? Please help me think of some ideas...except radioactive decay.

  20. Math

    Drag each response to the correct location on the table. Each response can be used more than once, but not all responses will be used. Consider the two exponential equations shown. Identify the attributes for each equation to complete the table. 111% 40

  21. Algebra

    Determine whether each function is an example of exponential growth or decay. Then find the y-intercept. a) y = 2(4)^x growth or decay y-intercept: b) y = 3(.25)^x growth or decay y-intercept:

  22. Pre Calculus

    Exponential Growth and Decay Find the half-life of a radioactive substance that decays by 5% in 9 years.

  23. Math

    Under ideal​ conditions, a population of rabbits has an exponential growth rate of 11.8​% per day. Consider an initial population of 300 rabbits. Find the exponential growth function.

  24. Precalc

    The value of a particular investment follows a pattern of exponential growth. You invested money in a money market account. The value of your investment t years after your initial investment is given by the exponential growth model A = 7300e0.066t. How

  25. Math

    a. Do some research and find a city that has experienced population growth. Determine its population on January 1st of a certain year. Write an exponential function to represent the city’s population, y, based on the number of years that pass, x after a

  26. algebra ii

    determine whether the equation could represent exponential growth or decay y=e^-x

  27. Mathematics

    How do I do these? 1. Simplify using only positive exponents: (2t)⁻⁶ 2. Simplify using only positive exponents: (w⁻²j⁻⁴)⁻³(j⁷j³) 3. Simplify using only positive exponents: a²b⁻⁷c⁴ ---------- a⁵b³c⁻² 4. Evaluate the expression

  28. Math

    a. Do some research and find a city that has experienced population growth. Determine its population on January 1st of a certain year. Write an exponential function to represent the city’s population, y, based on the number of years that pass, x after a

  29. Math

    Does the function represent exponential growth or exponential decay. Identify the growth or decay factor. y=9 x (1/2) I'm not sure how to make the chart to show the decay.

  30. Math - Algebra

    Need help understanding this problem. Looks like an exponential growth/decay. Magnesium-27 has a half life of 9.45 minutes and can be described by using the equation “y=ae^-kt . What is the decay constant (k) for Magnesium-27? How many mg of Magnesium-27

  31. Pre Calculus 1

    thirty percent of a radioactive substance decays in four years. assuming the decay is exponential, find the half life of the substance. the beginning of 1975 the population of a country was 40 million and growing at a rate of 3% per year. Assume that the

  32. MATH

    You are listening to a political pundit discussing the growth of the state's population with a radio talk show host. The host states that the State of Arizona had a population of 6,166,318 in 2006. Our pundit says the 2005 population was 5,130,632.

  33. Math (3 of 4 question)

    9. Does the function represent exponential growth or exponential decay? Identify the growth or decay factor. = 9 ∙ (1/2)ˣ

  34. math

    The Mexican long-tongued bat population is an endangered species, which decreases at a rate of 3.5% per year in a wildlife preserve that currently has 80 of them. What type of function will model the population? A)constant B)exponential growth C)linear

  35. Math

    Part 1: How are exponential growth and decay present in the real world? Give at least 2 examples for exponential growth and 2 examples of exponential decay. Part 2: View and comment on the work of at least 2 other students. Try to choose students whose

  36. math

    write the exponential function y=40e^0.06t in the form y=ab^t. find b accurate to 4 decimal palces. if t is measured in years, give the % annual growth or decay rate and the continuous % growth or decay rate per year.

  37. Math *Updated*

    So I figured out how to do the first 6, how do I do the remaining? 7. Evaluate the function below over the domain {-1, 0, 1, 2}. As the values of the domain increase, do the values of the function increase or decrease? y = (3/4)ˣ 8. Suppose an investment

  38. environmental science

    Explain the main point concerning exponential growth and whether it is good or bad. Compare exponential growth to a logistic growth curve and explain how these might apply to human population growth. What promotes exponential growth? What constrains

  39. math

    Identify the initial value and growth or decay factor in each of the following exponential functions: a) y= 350 x 5^x b) Q= 25000 x (1/2)^t c) P=(7 x 10^3) x 4^t d) N= 5000 x (9/10)^t

  40. algebra

    In 1998, the population of a given country was 37 million, and the exponential growth rate was 5% per year. Find the exponential growth function

  41. Algebra 2

    The value of a baseball card can be modeled by exponential decay. The value will decrease at a rate of 0.2% each yeah. The card was originally valued at $250 in the year 2000. A- Use the exponential decay formula to write an equation to model the

  42. Pre Calculus

    Exponential growth and decay find the half life of a radioactive substance if 220 grams of the substance decays to 200 grams in 4 years?

  43. Algebra

    Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1000 bacteria selected from this population reached the size of 1274 bacteria in five hours. Find the hourly growth rate

  44. algebra

    In 1990, the population of Africa was 643 million and by 2000 it had grown to 813 million. a.) Use the exponential growth model A=A0 e^kt, in which t is the number of years after 1990, to find the exponential growth function that models the data. b.) By

  45. Algebra

    f) Suppose you started with 100 bacteria, but they still grew by the same growth factor. Explain how your exponential equation in (b) would change. y=1*3x**** b) is Bacteria name: Staphylococcus aureus Generation Time: 30 minutes *Note: The generation time

  46. math - algebra

    f(t) is an exponential function with f(0) = 200 and f(3) = 2000. a) Use the form f(t) = Pe^rt to find the equation of this exponential function. b) In the form f(x) = Pa^x, a is the growth factor. find the growth factor. c)What input value gives an output

  47. College Algerbra

    the value of a particular investment follows a pattern of exponential growth. In the year 2000, you invested money in a money market account. The value of your investment t years after 2000 is given by the exponential growth model A = 1600e^(0.052t). By

  48. Algebra

    Solve. How long will it take for the population of a certain country to double if its annual growth rate is 1.5%? Round to the nearest year. Use the exponential growth model P(t) = P0e^kt.

  49. Algebra - Can you PLEASE check - I"m stuck!

    Bob is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days: F(N)=10(1.02)^n 1. Starting from 0 days, plug x-values into our function to find out how many days it

  50. Math

    Part 1: How are exponential growth and decay present in the real world? Give at least 2 examples for exponential growth and 2 examples of exponential decay. Thank You.

  51. Math

    How are exponential growth and decay present in the real world? Give at least 2 examples for exponential growth and 2 examples of exponential decay.

  52. Math Please Help

    How are exponential growth and decay present in the real world? Give at least 2 examples for exponential growth and 2 examples of exponential decay.

  53. Math

    Classify the model as exponential growth or exponential decay. Identify the growht or decay factor and the percent increase or decrease per time period.

  54. Math

    I am asked to give an example of exponential growth and decay in my math class. Would it be ok for me to say that an allowance is an example of exponential growth?

  55. Math

    So I figured out how to do the first 6, how do I do the remaining? 7. Evaluate the function below over the domain {-1, 0, 1, 2}. As the values of the domain increase, do the values of the function increase or decrease? y = (3/4)ˣ 8. Suppose an investment

  56. Algebra

    How do I identify an exponential growth/decay function on a graph? I'm assuming that if the curve moves from left to right, upwards, it is growth, and if it moves left to right, downwards, then it is decay. Please tell me whether this reasoning is right or

  57. Math

    How would I do these? 6. The speed of sound is approximately 1.2 × 10³ km/h. How long does it take for sound to travel 7.2 × 10² km? Write your answer in minutes. 7. Evaluate the function below over the domain {-1, 0, 1, 2}. As the values of the domain

  58. Algebra

    What is the exponential growth or decay. Of this function and the constant percentage? 20(.876)^x Would the percentage be expressed a decimal? I know it is decay ,so would you just add a negative to whatever percentage you get?

  59. Math

    1. Exponential growth follows the formula y=a(1+r)^x and exponential decay follows the formula y=a(1-r)^x.. This seems obviously TRUE But now I'm having doubts about the decay formula Is this true or false?

  60. math

    determine whether y=1.5(1/6)^x represents exponential growth or decay

  61. 8th Algebra

    What are some real-life examples of exponential growth and decay?

  62. Algebra

    I am stuck in exponential growth and decay. Here is an example. Can someone tell me how to do this step-by-step please? Here it is... The population of Mexico has been increasing at an annual rate of 1.7%. If the population of Mexico was 100,350,000 in the

  63. Pre Algebra

    Im currently learning Exponential Growth and Decay and there is one problem that I don't understand... From this: 30/9, how do they get to this result: 3 1/3 ?

  64. Precalculus

    Suppose f is a function with exponential decay. Explain why the function g defined by g(x)=1/f(x) is a function with exponential growth. PLEASE HELP!!

  65. Math+Growth/Decay

    3e^2x = G -3e^2x = G -3e^-2x = D 1/8e^2x = G -1/8e^-2x = D Would that be correct? I just made these examples up in my head. How can you tell if its growth or decay? I just look at the exponents. If is a negative then its decay? if its positive then its

  66. math

    18. Exponential growth follows the formula y= a(1+r)^x and exponential decay follows the formula y= a (1-r)^x. False? 23. In controlled experiments, the researcher is able to find a casual relationship between the variables- True 27. The explanatory and

  67. math 115

    A city of population 2.0 million is expected to experience a 15% decrease in population every 10 years. a. What is the 10-year decay factor? What is the yearly decay factor? The yearly decay rate? b. Use part (a) to create an exponential population model

  68. Math

    Has memory chip capacity's growth been exponential? How much longer is the exponential growth likely to continue? Explain.

  69. 8th grade

    Can you make a sentence that is not to hard to understand using the words growth factor, exponential form, and decay factor?

  70. Calculus

    Right now my class is working on exponential growth and decay. I know that i have to find the integral of both sides and solve for Y but I don't know how to do so exactly. Here's the problem: if dy/dx=3Y(10-Y) integrate to solve for Y

  71. math - another ? - exponentials

    The two formulas f(t) = Pa^t and f(t) = Pe^rt provide two models for the same exponential growth or decay function. How are the exact values of a and r related? (Hint: Find a formula for a as a function of r)

  72. Algebra

    An original signature of supermodel Jill Fisher appreciates in value 7% every year. How much was it worth in 2000 if it is worth $80,000 in 2016? This is about exponential growth and decay problem. thank you

  73. Physics

    A first order exponential decay can be written as A(t)= Ae^(-t/r) where A(t) is the amount (of substance) after time t, A is the initial amount at time t=0 and r is the decay time. The fall time is defined as the time in which A(t) falls from 90% to 10% of

  74. science

    If exponential growth occurs in the population of a species of predator, the population of its prey will most likely decrease quickly. increase slowly. stay the same. experience exponential growth.

  75. Linear Algebra

    whats the exponential decay equation for 100 atoms that decay 1/20 per day

  76. math

    im not sure what a exponential growth pattern is and I need to find a pattern, than describe it http://www.answers.com/topic/exponential-growth

  77. Algebra

    Can someone please help on this portfolio? I've been stuck on it for several days and i've only got task 1 I chose Cape Coral for the population that increased, and Fort Lauderdale as the one that decreased. Task 2 a. Do some research and find a city that

  78. Pre-Calculus

    A culture of bacteria obeys the law of unlimited growth. If 500 bacteria are present initially and there are 800 after 1 hour, how many will be present in the cultrue after 5 hours? How long until there are 20,000 bacteria? Hmmm, what is "the law of

  79. Algebra

    Wk 6 Sec 12.7 #24 World population growth In 2008 the world population was 6.7 billion and the exponential growth rate was 1.14% per year. A.Find the exponential growth function B.Predict the world’s population in 2014 C.When will the world’s

  80. Pre Algebra

    what would 6(1/3) be equal to? I'm currently doing Exponential Growth and Decay, but I don't quite understand how to do this one.... The problem is y=6(1/3) exponent x and it goes from exponent 1-5... if the exponent is 2, then 6(1/3) exponent 2 would be

  81. chemistry

    Write a partial decay series for Po-214 undergoing the following sequential decays: á, â, á, â. Use e for an electron. Use the format +1 or -1 for charge. a)a decay b)â decay c)a decay d)â decay

  82. Math

    The value of a particular investment follows a pattern of exponential growth. You invested money in a money market account. The value of your investment t years after your initial investment is given by the exponential growth model A=2600e^0.08t . By what

  83. Math

    If anyone does this lol idk but im not gonna look at this because im already done (with the first and second task) Task 1 Bacteria are the most common example of exponential growth. Research and find a bacterium that grows each hour exponentially and

  84. precalculus

    the value of a particular investment follows a pattern of exponential growth. In the year 2000, you invested money in a money market account. The value of your investment t years after 2000 is given by the exponential growth model A= 6200e^(0.018(t)). When

  85. Algebra word problem

    please help me with the following: The value of a particular investment follows a pattern of exponential growth. In the year 2000, you invested money in a money market account. The value of your investment t years after 2000 is given by the exponential

  86. Mathematics

    You are listening to a political pundit discussing the growth of the state's population with a radio talk show host. The host states that the State of Arizona had a population of 6,166,318 in 2006. Our pundit says the 2005 population was 5,130,632.

  87. Math

    You are listening to a political pundit discussing the growth of the state's population with a radio talk show host. The host states that the State of Arizona had a population of 6,166,318 in 2006. Our pundit says the 2005 population was 5,130,632.

  88. chem

    Write a partial decay series for Rn-220 undergoing the following sequential decays: á (alpha decay), á, â(beta decay), á. (Enter the mass number in the first raised box, the atomic number in the second lower box and the symbol of the element in the

  89. physics

    A building has become accidentally contaminated with radioactivity. THe longest lived material in the building is strontium-90 (atomic mass of 90 Sr 38 is 89.9077). If the building initially contained 5.0kg of this subtstance and the safe level is less

  90. Math

    Describe the basic differences between linear growth (a linear model) and exponential growth (an exponential model).

  91. Precalculus

    A population of bacteria has exponential growth and will double after 10 hours. Find the growth rate to the nearest hundredth.

  92. math - algebra

    f(t) is an exponential function with f(0) = 200 and f(3) = 2000. a) Use the form f(t) = Pe^rt to find the equation of this exponential function. b) In the form f(x) = Pa^x, a is the growth factor. find the growth factor. c)What input value gives an output

  93. math - algebra

    f(t) is an exponential function with f(0) = 200 and f(3) = 2000. a) Use the form f(t) = Pe^rt to find the equation of this exponential function. b) In the form f(x) = Pa^x, a is the growth factor. find the growth factor. c)What input value gives an output

  94. Math

    We are learning about linear and exponential growth and simple and compound interest. How do I know if I use .02 if my growth rate is 2% or if I use 1.02? What is the difference if I have the 1 in front? I'm a little confused about that. Thank you.

  95. math- HELP!

    The value of a particular investment follows a pattern of exponential growth. You invested money in a money market account. The value of your investment t years after your initial investment is given by the exponential growth model A=2600e^0.08t How much

  96. Math

    The value of a particular investment follows a pattern of exponential growth. You invested money in a money market account. The value of your investment t years after your initial investment is given by the exponential growth model a=2600e^.08t. How much

  97. homework

    The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 3.9% per hour. How many hours does it take for the size of the sample to double?

  98. chem

    Potassium-40 undergoes three different modes of radioactive decay (Beta decay, Positron decay, and Electron Capture decay). Write balanced nuclear reactions for each of these decay modes. Are the products stable (not radioactive)?

  99. Math

    equation best describes exponential decay a. y=a.b(x) with o

  100. maths

    Choose three options which are examples of exponential growth or decay. A) The number in the sequence 2,6,24,120,720…… B) The amount of money in a bank account which earns compound interest. C) The radioactivity of a sample of a radioactive isotope. D)

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