A manager spent his 2004 annual salary as follows:

\begin{tabular}{|l|l|}
\hline
Item & Percentage of Salary \\
\hline
Food & [tex]$30 \%$[/tex] \\
Rent & [tex]$18 \%$[/tex] \\
Insurance & [tex]$25 \%$[/tex] \\
\hline
Savings & [tex]$12 \%$[/tex] \\
\hline
Taxes & [tex]$5 \%$[/tex] \\
\hline
Miscellaneous & [tex]$10 \%$[/tex] \\
\hline
\end{tabular}

a) Represent the information above graphically.

b) Find his savings at the end of the year if his salary is $60,000.



Answer :

Sure, let's break this down step-by-step:

### Given Information:

A manager has an annual salary of [tex]$60,000, and the salary is distributed among various expenses as follows: - Food: 30% - Rent: 18% - Cogrance: 25% - Savings: 12% - Taxes: 5% - Mhos: 10% We need to find how much the manager saves at the end of the year. ### Step-by-Step Solution: 1. Identify Key Values: - Annual salary (\( S \)): \$[/tex]60,000
- Savings percentage ([tex]\( P_s \)[/tex]): 12%

2. Calculate the Savings:

The savings amount at the end of the year can be found by multiplying the annual salary by the savings percentage.

[tex]\[ \text{Savings} = S \times P_s \][/tex]

Substitute the given values:

[tex]\[ \text{Savings} = 60,000 \times 0.12 \][/tex]

Perform the multiplication:

[tex]\[ \text{Savings} = 7,200 \][/tex]

### Conclusion:

At the end of the year, the manager saves \[tex]$7,200 from his annual salary of \$[/tex]60,000.