Final answer:
To calculate the new mean annual wage, first calculate the new weekly wage by multiplying $2,189.40 by 3.275% and then add the result to the original wage. The new weekly wage is then multiplied by 52 to find the annual wage, which is approximately $117,577.35.
Step-by-step explanation:
The student has asked how to calculate the new mean annual wage if the mean weekly wage in a certain industry, which is $2,189.40, grows by 3.275%. To find the new mean weekly wage, we start by calculating the increase: $2,189.40 × 0.03275 = $71.68.
Adding this increase to the original weekly wage, we get $2,189.40 + $71.68 = $2,261.08 as the new mean weekly wage.
To find the annual wage, we then multiply this by the number of weeks in a year: $2,261.08 × 52 = $117,576.16.
The closest answer to this calculation provided is option C, $117,577.35, which seems to be a slight rounding difference.