(b) In what year will the population have doubled?Answer: Year%D In 2013, the population of a colony is 18500, and is increasing exponentially at a rate of 10.7% per year.

Answered: Image /qna-images/answer/ee9121d9-786e-40ff-a64f-8b49d78c0662.jpg

Answered: In 2013, the population of a colony is…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.1: Exponential Functions

Problem 1SE: Explain why the values of an increasing exponentialfunction will eventually overtake the valuesof...

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Similar questions

An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded continuously. How much will theaccount be worth after 15 years?
With what kind of exponential model would half-life be associated? What role does half-life play in these models?
A scientist begins with 100 milligrams of aradioactive substance that decays exponentially. After 35 hours, 50 mg of the substance remains. How manymilligrams will remain after 54 hours?
What is the difference between the equation for exponential growth versus the equation for exponential decay?
With what kind of exponential model would doubling time be associated? What role does doubling time play in these models?
Enter the data from Table 2 into a graphing calculator and graph the ranking scatter plot. Determine whetherthe data from the table would likely represent a function that is linear, exponential, or logarithmic.
What might a scatterplot of data points look like if it were best described by a logarithmic model?
Does a linear, exponential, or logarithmic model best fit the data in Table 2? Find the model.
Explain why the values of an increasing exponentialfunction will eventually overtake the valuesof anincreasing linear function.
On the day a grandchild is born, a grandparent deposits $2500 in a fund earning 7.5% interest, compounded continuously. Determine the balance in the account on the grandchild’s 25th birthday.
Alyssa opened a retirement account with 7.25 APRin the year 2000. Her initial deposit was 13,500. How much will the account be worth in 2025 if interest compounds monthly? How much more wouldshe make if interest compounded continuously?
By finding the appropriate logarithmic or exponential form of the equation, as in Example 1.

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