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A certain city has a population of 200,000. If the population decreases by 10% e
Practice Questions
Q1
A certain city has a population of 200,000. If the population decreases by 10% every year, what will be the population after 1 year?
180,000
190,000
200,000
210,000
Questions & Step-by-Step Solutions
A certain city has a population of 200,000. If the population decreases by 10% every year, what will be the population after 1 year?
Steps
Concepts
Step 1: Identify the initial population of the city, which is 200,000.
Step 2: Determine the percentage decrease in population, which is 10%.
Step 3: Convert the percentage decrease into a decimal by dividing by 100. So, 10% becomes 0.10.
Step 4: Calculate the remaining population percentage after the decrease. This is done by subtracting the decimal from 1: 1 - 0.10 = 0.90.
Step 5: Multiply the initial population by the remaining percentage: 200,000 * 0.90.
Step 6: Perform the multiplication: 200,000 * 0.90 = 180,000.
Step 7: The population after 1 year will be 180,000.
Percentage Decrease
– Understanding how to calculate a decrease in population using percentage.
Multiplicative Change
– Applying the concept of multiplicative factors to determine new values after a percentage change.
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