### Problem StatementIn 2012, the population of a city was 5.55 million. The exponential growth rate was 3.55% per year.#### Tasks:a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) Determine when the population of the city will be 9 million. d) Calculate the doubling time.### Solution**a) Exponential Growth Function:**The exponential growth function is $ P(t) = $, where $ t $ represents the number of years since 2012, and $ P(t) $ is the population in millions. **Note:** Use exponential notation with positive exponents. Do not simplify. Use integers or decimals in the equation.

GIVEN DATA : Population of the city in 2012 was 5.55 million. Exponential…

In 2012, the population of a city was 5.55 million. The exponential growth rate was 3.55% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 9 million? d) Find the doubling time. a) The exponential growth function is P(t) = [ (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.) where t is in terms of the number of years since 2012 and P(t) is the population in millions.

In 2012, the population of a city was 5.55 million. The exponential growth rate was 3.55% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 9 million? d) Find the doubling time. a) The exponential growth function is P(t) = [ (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.) where t is in terms of the number of years since 2012 and P(t) is the population in millions.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

### Problem Statement

In 2012, the population of a city was 5.55 million. The exponential growth rate was 3.55% per year.

#### Tasks:
a) Find the exponential growth function.
b) Estimate the population of the city in 2018.
c) Determine when the population of the city will be 9 million.
d) Calculate the doubling time.

### Solution

**a) Exponential Growth Function:**

The exponential growth function is $ P(t) = $, where $ t $ represents the number of years since 2012, and $ P(t) $ is the population in millions.

**Note:** Use exponential notation with positive exponents. Do not simplify. Use integers or decimals in the equation.

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