Angela's annual salary was $\$ 42,000$, but she was recently given a raise. Her new annual salary is $\$ 53,000$.
a. Angela's new annual salary is how many times as large as her previous annual salary?
times as large Preview
b. Angela's new annual salary is what percent of her previous salary?
$\% \quad$ Preview
c. If next year Angela received the same percent raise in salary, what would her salary be next year?
$\$$
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Step 1 ：Let's denote Angela's old salary as \(old\_salary\) and her new salary as \(new\_salary\).

Step 2 ：We know that \(old\_salary = \$42,000\) and \(new\_salary = \$53,000\).

Step 3 ：To find out how many times larger Angela's new salary is compared to her old salary, we need to find the ratio of her new salary to her old salary.

Step 4 ：This can be done by dividing her new salary by her old salary, which gives us \(ratio = \frac{new\_salary}{old\_salary}\).

Step 5 ：Substituting the given values, we get \(ratio = \frac{\$53,000}{\$42,000} = 1.2619047619047619\).

Step 6 ：Rounding to two decimal places, we get \(ratio = 1.26\).

Step 7 ：Final Answer: Angela's new annual salary is \(\boxed{1.26}\) times as large as her previous annual salary.