Suppose an initial population of 33 million people increases at a continuous percent rate of 1.8% per year since the beginning of 2000. Write a function f that determines the population (in millions) in terms of the number of years t since the beginning of 2000. f(t)=   Determine the population (in millions) at the beginning of 2019. million people What is the annual growth factor for the population? If a represents the population (in millions) at some point in time, write an expression in terms of a   to represent the population exactly 1 year later.    ___________________________________________________________________________________ suppose that $1500 is invested in an account with an APR of 3.1% compounded continuously. Determine the value of the investment at the end of 5 years. $   Write a function f that determines the value of the investment (in dollars) in terms of the number of years t   since the investment was made. f(t)=   What is the annual percent change (APY) for the account? %

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Suppose an initial population of 33 million people increases at a continuous percent rate of 1.8% per year since the beginning of 2000.

  1. Write a function f that determines the population (in millions) in terms of the number of years t since the beginning of 2000.

f(t)=

 

  • Determine the population (in millions) at the beginning of 2019.

    million people

  • What is the annual growth factor for the population?

  • If a represents the population (in millions) at some point in time, write an expression in terms of a

 

to represent the population exactly 1 year later. 

 

___________________________________________________________________________________

suppose that $1500 is invested in an account with an APR of 3.1% compounded continuously.

  1. Determine the value of the investment at the end of 5 years.

    $

 

  • Write a function f that determines the value of the investment (in dollars) in terms of the number of years t

 

since the investment was made.

f(t)=

 

  • What is the annual percent change (APY) for the account?

    %

 

 

 

 

 

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