Asked by Bryan Cakir on May 11, 2024
Verified
A country has a current population of 23 million, however its birth rate is declining at 2% per annum. Given this information, determine the population in 10 years' time.
A) 18.79 million
B) 17.79 million
C) 16.79 million
D) 15.79 million
E) 14.79 million
Birth Rate
The number of live births per thousand of population per year.
Population
The total set of individuals or items of interest for statistical, analytical, or research purposes.
Per Annum
An expression meaning "for each year," used to describe rates or amounts calculated on an annual basis.
- Comprehend and compute the increase or decrease in populations when provided with annual rates of change.
Verified Answer
BH
Brooke HutchinsMay 14, 2024
Final Answer :
A
Explanation :
The population decreases by 2% annually. To find the population in 10 years, we use the formula for exponential decay: P = P0 * (1 - r)^t, where P0 is the initial population, r is the rate of decrease (as a decimal), and t is the time in years. Here, P0 = 23 million, r = 0.02, and t = 10. So, P = 23 * (1 - 0.02)^10 ≈ 18.79 million.
Learning Objectives
- Comprehend and compute the increase or decrease in populations when provided with annual rates of change.