Pregunta
After one year on the job, Grady got a raise from \( \$ 15.50 \) to \( \$ 16.12 \) per hour. What was the percent increase in his hourly wage? The percent of increase was \( \square \% \).
Ask by Norris Fuentes. in the United States
Mar 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The percent increase in Grady's hourly wage is calculated as follows:
\[ \text{Percent Increase} = \left( \frac{16.12 - 15.50}{15.50} \right) \times 100\% \]
So, the percent increase is approximately \( 4\% \).
Solución
To find the percent increase in Grady's hourly wage, we can use the formula:
\[ \text{Percent Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100\% \]
Given:
- Old Value (hourly wage before the raise) = $15.50
- New Value (hourly wage after the raise) = $16.12
Substitute the values into the formula:
\[ \text{Percent Increase} = \left( \frac{16.12 - 15.50}{15.50} \right) \times 100\% \]
Now, we can calculate the percent increase in Grady's hourly wage.
Calculate the value by following steps:
- step0: Calculate:
\(\frac{\left(16.12-15.5\right)}{15.5}\times 100\)
- step1: Remove the parentheses:
\(\frac{16.12-15.5}{15.5}\times 100\)
- step2: Subtract the numbers:
\(\frac{0.62}{15.5}\times 100\)
- step3: Divide the terms:
\(\frac{1}{25}\times 100\)
- step4: Reduce the numbers:
\(1\times 4\)
- step5: Simplify:
\(4\)
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Bonus Knowledge
To find the percent increase in Grady's hourly wage, we can use the formula: \[ \text{Percent Increase} = \frac{\text{New Wage} - \text{Old Wage}}{\text{Old Wage}} \times 100 \] Substituting in Grady's wages: \[ \text{Percent Increase} = \frac{16.12 - 15.50}{15.50} \times 100 = \frac{0.62}{15.50} \times 100 \approx 4.00\% \] So, the percent of increase was \( 4.00\% \).

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