Pregunta
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Suppose the average cost to community hospitals per patient per day in year is approximated by , where comtesponds te the year 2
Will the average cost per petient per day reach by 2024 ?
What is the value of in this case?

Ask by George Barber. in the United States
Jan 23,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

The average cost per patient per day will reach $4,000 when .

Solución

To determine whether the average cost per patient per day will reach $4,000 by 2024, we’ll solve for the value of in the given cost equation:

Step-by-Step Solution:

  1. Set Up the Equation:
  1. Multiply Both Sides by to Eliminate the Denominator:
  1. Expand the Right Side:
  1. Bring All Terms to One Side to Form a Quadratic Equation:
  1. Apply the Quadratic Formula:
Where:
  1. Calculate the Discriminant ( ):
  1. Find the Square Root of the Discriminant:
  1. Solve for :
Since typically represents whole years in this context, we can round to the nearest whole number:

Conclusion:

The value of when the average cost per patient per day reaches $4,000 is approximately 41.

Respondido por UpStudy AI y revisado por un tutor profesional

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Extra Insights

To determine whether the average cost per patient per day will reach $4000 by 2024, we first need to find the value of that corresponds to 2024. Since refers to the year 2012 (2 years after the base year 2010), we can find for 2024 by calculating:
2024 - 2010 = 14, which gives .
Now, we substitute into the cost function:
Calculating this will provide the average cost.
So, to find out whether it will reach $4000, you plug in the value of as 14 and evaluate the expression! Exploring the trends in healthcare spending can often reveal surprising insights, and keeping an eye on such projections can lead to better budgetary decisions! Plus, healthcare costs are always evolving, just like technology! Hang tight while you crunch those numbers!

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