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Answer:
$31,500
Step-by-step explanation:
Percentages are additive in a distribution like this(since all add to 100%). This means that we can add the percentages of the Housing and Savings and multiply it by the entire annual income to get how much is budgeted for these two categories.
Solving:
[tex]\begin{enumerate} \item \textbf{Identify the percentages for housing and savings}: \begin{itemize} \item Housing: 23\% \item Savings: 7\% \end{itemize}[/tex]
[tex]\item \textbf{Add the percentages together}:\\ \[ = 23\% + 7\% = 30\% \] \item \textbf{Convert the total percentage to a decimal}: \[ 30\% = 0.30 \] \item \textbf{Multiply the total annual income by this decimal}: \[ \text{Total annual income} = \$105{,}000 \] \[ \text{Amount for housing and savings} = 0.30 \times \$105{,}000 = \boxed{\$31{,}500} \][/tex]
Therefore, the amount budgeted for housing and savings combined is $31,500.