**Population Growth Problem****Problem Statement:**"A town has a population of 12,000 and grows at 3.5% every year. What will be the population after 7 years, to the nearest whole number?"**Description:**This problem involves calculating the population of a town after a given period, considering its annual growth rate.**Calculation Approach:**To calculate the population after a certain number of years with annual growth, we use the formula for exponential growth:\[ P(t) = P_0 \times (1 + r)^t \]Where:- $ P(t) $ is the population after time $ t $- $ P_0 $ is the initial population- $ r $ is the growth rate (expressed as a decimal)- $ t $ is the number of yearsGiven:- $ P_0 = 12000 $- $ r = 3.5\% = 0.035 $- $ t = 7 $Input the values into the formula to calculate the population after 7 years.**Answer Submission:**There is an input box labeled "Answer:" where you have to enter the calculated population to the nearest whole number.Finally, click on the "Submit Answer" button to check your answer.

Name: **Population Growth Problem****Problem Statement:**"A town has a popu
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Description: **Population Growth Problem****Problem Statement:**"A town has a population of 12,000 and grows at 3.5% every year. What will be the population after 7 years, to the nearest whole number?"**Description:**This problem involves calculating the populat

To find the population after 7 years.

Answered: A town has a population of 12000 and…

Math

Algebra

A town has a population of 12000 and grows at 3.5% every year. What will be the population after 7 years, to the nearest whole number?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

**Population Growth Problem**

**Problem Statement:**
"A town has a population of 12,000 and grows at 3.5% every year. What will be the population after 7 years, to the nearest whole number?"

**Description:**
This problem involves calculating the population of a town after a given period, considering its annual growth rate.

**Calculation Approach:**
To calculate the population after a certain number of years with annual growth, we use the formula for exponential growth:
\[ P(t) = P_0 \times (1 + r)^t \]

Where:
- $ P(t) $ is the population after time $ t $
- $ P_0 $ is the initial population
- $ r $ is the growth rate (expressed as a decimal)
- $ t $ is the number of years

Given:
- $ P_0 = 12000 $
- $ r = 3.5\% = 0.035 $
- $ t = 7 $

Input the values into the formula to calculate the population after 7 years.

**Answer Submission:**
There is an input box labeled "Answer:" where you have to enter the calculated population to the nearest whole number.

Finally, click on the "Submit Answer" button to check your answer.

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