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The 2009 World Almanac and Book of Facts predicted that the United States will have an elderly population (65 and older) of \(88,547,000\) in the year 2050 and that this will be \(20.2 \%\) of the population. What is the total predicted U.S. population in \(2050 ?\)

Short Answer

Expert verified
The estimated total U.S. population in the year 2050 is approximately 438,289,108.

Step by step solution

01

Convert the Percentage to a Decimal

First, the given percentage needs to be converted into a decimal. This can be done by simply dividing the percentage by 100. Thus, \(20.2\%\) becomes \(0.202\) as a decimal.
02

Solve for the Total Population

We know that the elderly population, 88,547,000, represents 20.2% (or 0.202) of the total population. Hence, to find the total population, we need to divide the number of elderly people by 0.202. The total population can be calculated as: \(\frac{88,547,000}{0.202}\)
03

Calculate and Round Off the Value

Calculating the above expression, we get a value of approximately 438,289,108. It's typical to round population figures to the nearest whole number because one cannot have fractions of people. Thus, the estimated total U.S. population in 2050 is projected to be approximately 438,289,108.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Percentage Conversion
Percentage conversion is a fundamental concept that plays a critical role in various calculations, especially in the context of statistics and demographics. Whenever you are presented with a percentage, converting it to a decimal is a vital first step. This conversion is straightforward: you simply divide the percentage by 100.

For instance, if you have a percentage like 20.2%, you convert it to a decimal by performing the operation \( \frac{20.2}{100} \). This gives you 0.202. This sense of conversion allows for easier mathematical computations as decimals are simpler to use in formulas and equations.

Why is this important? In many calculations, particularly those involving portions of a whole, using a decimal rather than a percentage simplifies the process. Once in decimal form, you can readily multiply or divide to find other values, like we do in population estimation where we measure one part over the whole.
Almanac Predictions
Almanacs, like the World Almanac and Book of Facts, provide long-range predictions and estimates about various statistics, including demographic data. These predictions are useful for planning and understanding future trends in population growth and composition.

Forecasting methods used by almanacs incorporate historical data analysis and established mathematical models to make predictions about the future. It involves using past and present data to understand growth patterns and then applying these patterns to predict future changes.

For example, when an almanac predicts that the elderly will make up 20.2% of the population in 2050, it's referencing a calculated estimate based on existing demographic trends. These predictions require a careful approach and the skill to interpret data accurately, making them reliable tools for governments and businesses to plan for future socio-economic conditions.
Future Demographics
Understanding future demographics involves predicting the makeup and distribution of a population at a future date. Future demographic trends help in anticipating socio-economic needs such as healthcare, employment, and housing.

In the case of the elderly population anticipated in 2050 as per the almanac prediction, they expect a significant increase in this age group. Calculating such demographics involves demographic transition models, fertility rates, mortality rates, and migration patterns, among other factors.

Key outcomes of demographic analysis include:
  • Planning for adequate healthcare facilities and services to cater to an aging population.
  • Adjusting pension schemes and social security systems to accommodate longer life expectancies.
  • Ensuring that economic and policy planning anticipates shifts in the labor force and consumer needs.
These considerations highlight the importance of accurate predictions in shaping societal infrastructure and policies.

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Most popular questions from this chapter

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