SOLUTION: Kimuyen needs to earn $4,250 per month in order to pay all her expenses. Her job pays her $3,775 per month plus 4% of her total sales. What is the minimum Kimuyen's total sales mus

Algebra ->  College  -> Linear Algebra -> SOLUTION: Kimuyen needs to earn $4,250 per month in order to pay all her expenses. Her job pays her $3,775 per month plus 4% of her total sales. What is the minimum Kimuyen's total sales mus      Log On


   

Question 1135745: Kimuyen needs to earn $4,250 per month in order to pay all her expenses. Her job pays her $3,775 per month plus 4% of her total sales. What is the minimum Kimuyen's total sales must be (in dollars) in order for her to pay all her expenses?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
kimuyen needs to earn 4250 per month in order to pay all her expenses.

her salary is 3775 per month plus 4% of her total sales.

let x = her total sales.

the formula for her total income for the month is i = 3775 + .04 * x.

she needs i to be greater than or equal to 4250 in order to be able to pay all her expenses for the month.

the formula for that is i >= 4250.

since i = 3775 + .04 * x, the formula becomes 3775 + .04 * x >= 4250.

subtract 3775 from both sides of this inequality to get .04 * x >= 4250 - 3775.

combine like terms to get .04 * x >= 475.

divide both sides of this inequality by .04 to get x >= 475 / .04.

solve for x to get x >= 11875.

she needs to make total sales greater than or equal to 11875 each month so that she can pay all her expenses.

that's your solution.