Suppose that in 2018, the world population was approximately 9 billion and has been increasing at a continuous growth rate of 1.94% annually.a. Write a function $ f $ that determines the world population (in billions) in terms of the number of years $ t $ since 2018.\[ f(t) = 9(1.0194)^t \]b. How many years since 2018 will the world population be 13 billion?\[ 6989 \] daysc. How many years since 2018 will the world population be 19 billion?\[ 38.9 \] daysd. Find the doubling time.\[ 36.10 \] years---Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c

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Answered: Suppose that in 2018, the world…

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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In 2002, a company sold 2,480 units. The company's accountant noticed a 5.2% continuous annual increase in the number of units sold between 2002 and 2008. a. Identify a natural exponential function N(f) that models the number of units sold by the company, where t is the number of years after 2002. O N(t) = 2,480 (0.052)* O N(t).= 2,480 e5.2 t %3D N (t) = 2,480 (5.2)t O N(t) = 2,480 e0.052 t b. Find and interpret N(4). 4,004; In the year 2006, the number of urs sold by the company was approximately 4,004 units. 4,004; The number of units sold by the company was increased by 4,004 units since 2006. 3,053; In the year 2006, the number of units sold by the company was approximately 3,053 units. 3,053; The number of units sold by the company was increased by 3,053 units since 2006. c. If this growth rate continues, use your model to estimate when the company will sell approximately 8,000 units. Solve algebraically and round your answer to the nearest whole number. Number years after 2002,…
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