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The population of a city decreases by 
3.9% per year. If this year's population is 
p, which expression represents next year's population?

0.9961 p

1-0.039 p

3.9 p

0.961 p

The population of a city decreases by 3.9% 3.9 \% per year. If this year's population is p p , which expression represents next year's population?\newline0.9961p 0.9961 p \newline10.039p 1-0.039 p \newline3.9p 3.9 p \newline0.961p 0.961 p

Full solution

Q. The population of a city decreases by 3.9% 3.9 \% per year. If this year's population is p p , which expression represents next year's population?\newline0.9961p 0.9961 p \newline10.039p 1-0.039 p \newline3.9p 3.9 p \newline0.961p 0.961 p
  1. Calculate Decrease: To find next year's population, we need to subtract the decrease from the current population. The decrease is 3.9%3.9\% of the current population pp.\newlineCalculation: 3.9%3.9\% of p=0.039×pp = 0.039 \times p
  2. Find Next Year's Population: Next year's population will be this year's population minus the decrease.\newlineCalculation: Next year's population = p(0.039×p)p - (0.039 \times p)
  3. Factor Out pp: We can factor out pp from the expression to simplify it.\newlineCalculation: Next year's population = p×(10.039)p \times (1 - 0.039)
  4. Calculate Value: Now we calculate the value inside the parentheses.\newlineCalculation: 10.039=0.9611 - 0.039 = 0.961
  5. Substitute Value: We substitute the value back into the expression to find the final expression for next year's population.\newlineCalculation: Next year's population = p×0.961p \times 0.961