According to the U.S. Census Bureau, in 2000 , the U.S....

According to the U.S. Census Bureau, in 2000 , the U.S. population was 281.420 .906 habitants. Some projections indicate that by 2020 there will be 341,250,007 habitants. The number of senior citizens will increase $30 \%$ while the number of citizens under the age of 65 will increase 20\%. Find the number of senior citizens and nonsenior citizens in the year $2000 .$ Round your answer to the nearest integer.

Key Concepts

Percentage Increase

This concept involves understanding how an original value is multiplied by a factor to achieve the new value after an increase. For instance, an increase of 30% is represented by multiplying the initial amount by 1.3, while an increase of 20% equates to multiplying by 1.2. This principle is widely applicable in various contexts such as finance, population studies, and other areas that involve growth or inflation calculations.

System of Linear Equations

A system of linear equations consists of two or more equations with multiple variables that are solved simultaneously. In problems where parts of a whole are affected by different rates of change, setting up a system of equations allows us to relate the initial values of the subgroups to their eventual totals. This method provides a structured approach to deduce unknown values based on the given total and distinct growth factors.

Population Projection

Population projection involves estimating future population sizes based on current data and expected growth rates or demographic changes, such as different percentage increases among subgroups. By applying specific growth factors to parts of a population and accounting for the overall projected change, one can derive the original makeup of the population. This concept is central to planning and policy-making in demographics and social sciences.

Rounding

Rounding is the process of reducing the number of digits in a number while keeping its value close to the original value, typically to simplify the number or meet a specific reporting requirement. In many real-world applications, including statistical data and demographic studies, rounding is used to present numbers in a manageable and understandable form.

Transcript

Please give Ace some feedback