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There were 230,600 jobs available in the field of radiology in the year 2014. Each year, that number is expected to grow by 0.9. What is the projected number of jobs available in the field of radiology in the year 2025?

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Final answer:

The projected number of jobs in the field of radiology in 2025 is estimated using a simple growth calculation based on an annual growth rate of 0.9%. Starting with 230,600 jobs in 2014 and applying the growth rate over 11 years, the projected number is approximately 254,919.

Step-by-step explanation:

To calculate the projected number of jobs available in the field of radiology in the year 2025, we need to apply a simple growth formula across the years from 2014 to 2025, based on the given annual growth rate of 0.9%. First, determine the number of years of growth by subtracting 2014 from 2025, which is 11 years. Then, calculate the number of jobs each year by adding 0.9% of the previous year's jobs each subsequent year.

Step-By-Step Calculation:

  1. Number of years from 2014 to 2025: 2025 - 2014 = 11 years
  2. Annual growth rate: 0.9%
  3. Initial number of jobs in 2014: 230,600
  4. Apply the growth rate for each year:

    Projected jobs = Initial jobs × (1 + Annual growth rate)^ⁿ¹ⁱ ^ⁿ¹
  5. Calculate the projected jobs:

    Projected jobs = 230,600 × (1 + 0.009)^11
  6. Final calculation (using a calculator):

    Projected jobs ≈ 230,600 × 1.105170918 = 254,919 (rounded to the nearest whole number)

Therefore, the projected number of jobs available in the field of radiology in the year 2025 is approximately 254,919.

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