a worker makes $11.38 per hour and receives a 5 5/7% raise. what is the hourly wage for the worker after the…

a worker makes $11.38 per hour and receives a 5 5/7% raise. what is the hourly wage for the worker after the raise? round your answer to the nearest cent per hour. dont forget to include your units. your answer: answer units

a worker makes $11.38 per hour and receives a 5 5/7% raise. what is the hourly wage for the worker after the raise? round your answer to the nearest cent per hour. dont forget to include your units. your answer: answer units

Answer

Explanation:

Step1: Convert the percentage to a decimal

The raise percentage is $5\frac{5}{7}%=\frac{40}{7}\div100=\frac{40}{7}\times\frac{1}{100}=\frac{2}{35}\approx 0.05714$.

Step2: Calculate the new wage

The original wage is $11.38$ per - hour. The new wage $w$ is calculated by the formula $w = 11.38\times(1 + 0.05714)$. $w=11.38\times1.05714 = 11.38\times(1+\frac{2}{35})=11.38\times\frac{37}{35}=\frac{11.38\times37}{35}=\frac{421.06}{35}\approx12.03$.

Answer:

$12.03$ dollars per hour