Answer:
Explanation:
here's a more detailed explanation:
The assistant received a raise of 10%, which means that their salary increased by 10% of the original salary. The new salary after the raise is given as 47,585.
To find the original salary before the raise, we need to reverse the effect of the raise. To do this, we divide the new salary by the factor that represents the increase, which is 1 plus the raise as a decimal.
The raise as a percentage is 10%, which is equivalent to 0.10 as a decimal. Therefore, the factor that represents the increase is 1 + 0.10 = 1.10.
We can now use this factor to find the original salary by dividing the new salary by the factor:
Original salary = New salary / (1 + Raise as a decimal)
Original salary = 47,585 / (1 + 0.10)
Original salary = 47,585 / 1.10
Original salary = 43,259.09
So the salary before the raise was 43,259.09.