Respuesta :

Given

Last year salary = $45,500

this year = $36,855

Find

Percentage change

Explanation

We know

[tex]\begin{gathered} Percentage\text{ }change=\frac{change\text{ }in\text{ }salary}{initial\text{ }salary}\times100 \\ =\frac{45500-36855}{45500}\times100 \\ =\frac{8645}{45500}\times100 \\ =19\% \end{gathered}[/tex]

Final Answer

His salary is reduce by 19%

Answer:

[tex]-19\%[/tex]

Step-by-step explanation:

Givens

We are given that Hernando's salary last year was $45,500.

This year, his salary is $36,855.

We are asked to find the percent change between the salaries.

Solve

First, divide the salaries to find out the percentage that $36,855 makes up of $45,500:

[tex]\displaystyle \frac{36855}{45500} = 0.81[/tex]

Then, subtract this decimal from 1.00 to find the percent change in decimal form:

[tex]1.00-0.81=0.19[/tex]

Finally, multiply the decimal by 100 to find the value in percentage form:

[tex]0.19\times100=19\%[/tex]

Finally, since this was a decrease in salary, negate the value:

[tex]-19\%[/tex]

Therefore, the percent change was -19%.