An employee's salary increased by $4,500 which represents a 15% raise. What is the employee's new salary?

The employee's new salary is $34 500

Step-by-step explanation:

Let x be the employee's initial salary.

From the question above, an employee's salary increased by  $4500  which represent 15% increase. this implies;

15% of  x  =  $4 500

   ×  x = $4 500

  =  $4 500

Multiply both-side of the equation by 100

 × 100 = $4 500× 100

100 will cancel-out 100 at the left-hand side of the equation

15 x = $450 000

Divide both-side of the equation by 15

 = $

(On the left-hand side of the equation, 15 at the numerator will cancel-out 15 at the denominator while on the right-hand side of the equation $450 000 will be divided by 15)

x  =  $30 000

The employee's initial salary is $30,000

The employee's new salary = Initial salary + increase

                                                = $30 000 +  $4 500

                                                 =$34 500

step-by-step explanation:

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17