Final answer:
To find Eric's new annual salary after a 15% cut, you multiply his original salary of $52,000 by 0.15 to find the cut amount ($7,800) and then subtract it from the original salary to get the new salary of $44,200.
Step-by-step explanation:
To calculate the new annual salary for Eric after his boss cut it by 15%, we first need to find the amount of the cut. To do this, we multiply Eric's original salary by the percentage of the cut.
Original Salary: $52,000
Percentage of cut: 15%
Amount of cut = Original Salary × Percentage of cut
Amount of cut = $52,000 × 0.15
Amount of cut = $7,800
Now subtract the amount of the cut from the original salary to find the new salary:
New Salary = Original Salary - Amount of cut
New Salary = $52,000 - $7,800
New Salary = $44,200
Therefore, Eric's new annual salary, after a 15% reduction, will be $44,200.