**Educational Text:****Population Decline Problem**A certain population declines by 7% each year. What is the percentage decline each month? *(Round your answer to two decimal places.)* ---To solve this problem, you need to calculate the monthly percentage decline from the annual decline percentage. You can use the formula for compound interest decay:\[ (1 - \text{annual decline rate})^{\frac{1}{12}} = 1 - \text{monthly decline rate}\]Given:- Annual decline rate = 7% or 0.07Calculation:1. Compute $ (1 - 0.07)^{\frac{1}{12}} $2. Subtract the result from 1 to get the monthly decline rate.3. Multiply by 100 to convert it to a percentage.4. Round the final answer to two decimal places.This approach ensures an accurate breakdown of the yearly decline into monthly increments.

To find the percentage decline each month for a population that declines by 7% each year, we can…

Answered: A certain population declines by 7%…

A certain population declines by 7% each year. What is the percentage decline each month? (Round your answer to two decimal places.) 19

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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Question

**Educational Text:**

**Population Decline Problem**

A certain population declines by 7% each year. What is the percentage decline each month? *(Round your answer to two decimal places.)*

---

To solve this problem, you need to calculate the monthly percentage decline from the annual decline percentage. You can use the formula for compound interest decay:

\[
(1 - \text{annual decline rate})^{\frac{1}{12}} = 1 - \text{monthly decline rate}
\]

Given:
- Annual decline rate = 7% or 0.07

Calculation:
1. Compute $ (1 - 0.07)^{\frac{1}{12}} $
2. Subtract the result from 1 to get the monthly decline rate.
3. Multiply by 100 to convert it to a percentage.
4. Round the final answer to two decimal places.

This approach ensures an accurate breakdown of the yearly decline into monthly increments.

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