Jessica's annual salary is $68571.43.
Data;
- percentage saved for housing = 28%
- amount saved annually = $1600
<h3>Percentage</h3>
This is the ratio of a number to the entire value and multiplied by 100
The percentage set aside for housing is given as 28% which is $1600.
Let find 28% of x which is equal to 1600
![\frac{28}{100} = \frac{1600}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B28%7D%7B100%7D%20%3D%20%5Cfrac%7B1600%7D%7Bx%7D)
cross multiply both sides and solve for x
![\frac{28}{100} = \frac{1600}{x}\\ 28*x = 100*1600\\28x = 160000\\](https://tex.z-dn.net/?f=%5Cfrac%7B28%7D%7B100%7D%20%20%3D%20%5Cfrac%7B1600%7D%7Bx%7D%5C%5C%2028%2Ax%20%20%3D%20100%2A1600%5C%5C28x%20%3D%20160000%5C%5C)
Divide both sides by the coefficient of x
![\frac{28x}{28} = \frac{160000}{28}\\ x = 5714.28](https://tex.z-dn.net/?f=%5Cfrac%7B28x%7D%7B28%7D%20%3D%20%5Cfrac%7B160000%7D%7B28%7D%5C%5C%20x%20%3D%205714.28)
Her monthly income is $5714.28.
Let's multiply this by 12 (months in a year) to determine her gross monthly income.
![5714.28*12 = 68571.43](https://tex.z-dn.net/?f=5714.28%2A12%20%3D%2068571.43)
From the above calculations, Jessica's annual salary is $68571.43.
Learn more on percentage here;
brainly.com/question/25567167