Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

A town's population is currently 100,000 people. The mayor discovered that the population is declining at a rate of 3% annually. If this rate continues, what will the population
of the town be in 4 years? Round your answer to the nearest whole number.
88,529 people
91,267 people
O 97,000 people
112,551 people

Sagot :

irunthepaint

Answer:

88,529 people

Step-by-step explanation:

if the towns population is 100,000

%10 is 10,000

meaning %1 = 1,000

1,000 x 3 = 3,000

3,000 = %3

3,000 x 4 (because its 4 years)

= 12,000

100,000 - 12,000 = 88,000

rounding it to 88,529

The population of the town after 4 years will be 88,529 people. The correct option is A.

What is exponential growth or decay function?

Consider the function:

y= a(1 ± r)ˣ

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

  • If there is a plus sign, then there is exponential growth happening by r fraction or 100r %
  • If there is a negative sign, then there is exponential decay happening by r fraction or 100r %

Given that the town's population is currently 100,000 people, which is declining at a rate of 3%. Therefore, the population of the town after a period of 4 years will be,

Population after 4 years = P (1 - r)ⁿ

                                        = 100,000 × (1 - 0.03)⁴

                                        = 88,529.281 ≈ 88,529 people

Hence, the population of the town after 4 years will be 88,529 people.

Learn more about Exponential Growth and Decay here:

https://brainly.com/question/2193820

#SPJ5

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.