The population for a city is 39,194 and grows continuously at a rate of 6.9% each year. What is the approximate population in 17 years?

My answer is 121,854

  1. 👍
  2. 👎
  3. 👁
  1. looks good

    1. 👍
    2. 👎
  2. I don't get that ....

    Population = 39194 e^(17*.069)
    = 39194 e^1.173
    = 39194*3.23167...
    = appr 126,662

    at just 6.9% compounded annually we would have
    39164(1.069)^17 = 121,854 , which is your answer

    you missed the part about "continuous" growth.
    in questions such as population growth, the growth is taking place continuously, unlike a bank account where your balance "jumps" after certain interest periods.

    1. 👍
    2. 👎
  3. Thank you

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    The population of a southern city follows the exponential law. If the population doubled in size over 13 months and the current population is 30,000 what will the population be in 5 years from now?

  2. SAT math

    The population of a city can be modeled using the formula P=100,000e^(0.05t), where t is the number of years after 2012 and P is the city's population. Which of the following equations can be used to find the number of years after

  3. Algebra

    Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 8% each week. The following function represents the weekly weed growth: f(x) = 86(1.08)x. Rewrite the function to show how quickly the weeds grow each

  4. math

    the population growth of a city is modeled by P(t)=240,360e^.012t where t represents the number of years since 2000 a) what is the yearly growth rate as a percent? b) find the population in 2015 c) how long, to the nearest year,

  1. Algebra

    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

  2. math

    the population of a southern city follows the exponential law. If the population doubled in size over an 18 month period and the current population in 10000, what will be the population 2 years from now? the equation for the

  3. Math

    the population of new york city doubles during the workday. at the end of the workday, the population decreases by half. if the population in new york city is roughly 4,000,000 people before rush hour, and morning rush hour lasts

  4. Help me check my calculus answers

    1. Which of the following functions grows the fastest as x goes to infinity? - 2^x - 3^x - e^x inf f(x)/g(x) = 5 show? - g(x) grows faster than f(x) as x goes to infinity. - f(x) and g(x) grow at the same rate as x goes to

  1. Algebra

    The population of a town was 5655 in 2010. The population grows at a rate of 1.4% annually. Use the exponential growth model to write an equation that estimates the population t years after 2010. Estimate the population of the

  2. Differential Equations

    A college professor contributes $5,000 per year into her retirement fund by making many small deposits throughout the year. The fund grows at a rate of 7% per year compounded continuously. After 30 years, she retires and begins

  3. 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

  4. Algebra

    Solve. The population of a particular city is increasing at a rate proportional to its size. It follows the function P(t) = 1 + ke^0.12t where k is a constant and t is the time in years. If the current population is 15,000, in how

You can view more similar questions or ask a new question.