Answer:
The monthly salary of Rosa after the raise is $2662.50.
Step-by-step explanation:
Let the initial salary of Rosa be x.
Rosa received a monthly raise of $162.50 and this represented a 6.5% increase.
[tex]x\times \frac{6.5}{100}=162.50[/tex]
Multiply both sides by 100.
[tex]x\times \frac{6.5}{100}\times 100=162.50\times 100[/tex]
[tex]6.5x=16250[/tex]
Divide both sides by 6.5.
[tex]x=\frac{16250}{6.5}[/tex]
[tex]x=2500[/tex]
The initial salary is 2500.
New salary = Initial salary + Increase
[tex]\text{New salary}=2500+162.50[/tex]
[tex]\text{New salary}=2662.50[/tex]
Therefore the monthly salary of Rosa after the raise is $2662.50.
