Question

the population of a city decreases by 1.4% per year. if this years population is 206,000, what will next years population be, to the nearest individual?

Explanation:

Step1: Determine the remaining percentage

The population decreases by 1.4%, so the remaining percentage is \(100\% - 1.4\% = 98.6\% = 0.986\) in decimal form.

Step2: Calculate next year's population

Multiply this year's population (206,000) by the remaining percentage. So, \(206000\times0.986\).

$$206000\times0.986 = 206000\times(1 - 0.014)=206000 - 206000\times0.014 = 206000 - 2884 = 203116$$

Answer:

203116