Verified Answer :

To find her monthly salary, first you must find 6.5% of 162.50. To do so, make 6.5% into a decimal. Then multiply .65 by 162.50. Your answer should be 10.5625. Then you would round 10.5625 to the thousandths place. It should look like so: 10.56. Next you would subtract 10.56 by 162.50. Your answer should be $151.94.

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.

\(x\times \frac{6.5}{100}=162.50\)

Multiply both sides by 100.

\(x\times \frac{6.5}{100}\times 100=162.50\times 100\)

\(6.5x=16250\)

Divide both sides by 6.5.

\(x=\frac{16250}{6.5}\)

\(x=2500\)

The initial salary is 2500.

New salary = Initial salary + Increase

\(\text{New salary}=2500+162.50\)

\(\text{New salary}=2662.50\)

Therefore the monthly salary of Rosa after the raise is $2662.50.