Math Problem Statement

Find the population growth rate when the population was 10,000 last year and increased to 10,210.

Solution

The page contains multiple math problems, mainly focusing on population growth and depreciation. Here's the summary of relevant questions:

  1. Population growth rate problems:

    • 8A: The population was 10,000 last year and increased to 10,210. Find the growth rate.
    • 8B: The population decreased from 10,000 to 9,780. Find the decrease rate.
    • 8C: Population increased from 1,000 to 1,020. Find the growth rate.
    • 8D: A town's population increased by one-fifth in a year. Find the growth rate.
  2. Population changes due to migration:

    • 9A: The population of a village is 12,000. Due to birth (+1,000) and immigration (+2,000), find the new population.
    • 9B: Starting population of 7,200, where 500 people migrated in and 200 died. Find the population after a year.
  3. Depreciation problems:

    • Questions involve calculating the depreciation of various items like telephones, machinery, and motorbikes using different rates over time.

Would you like me to solve a specific problem from these? Let me know the question number! Here are five follow-up questions you can consider:

  1. How do you calculate population growth rates using percentages?
  2. What formula is used to calculate depreciation with a fixed rate?
  3. How do you handle population changes due to births, deaths, or migration?
  4. Can you explain the "one-fifth" growth rate in Question 8D?
  5. How do you calculate the final value after multiple years of depreciation?

Tip: For percentage-based problems, always start by using the formula:
Growth/Decrease Rate=Change in PopulationInitial Population×100\text{Growth/Decrease Rate} = \frac{\text{Change in Population}}{\text{Initial Population}} \times 100

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Math Problem Analysis

Mathematical Concepts

Population Growth Rate
Percentage Change

Formulas

Growth Rate = (Change in Population / Initial Population) * 100

Theorems

Percentage Change Formula

Suitable Grade Level

Grade 8-10