You begin your first day as a police officer earning $30,000/yr. assuming that you obtain a full 5% increase each year, what will your salary be in three years?

$34728.75

Step-by-step explanation:

Given: The salary of a police officer for a year P= $30,000

The rate of increase r= 5% = 0.05 per year

We know that the compound amount after t years at rate of intersect r is given by :-

Then, the compound amount after 3 years is given by :-

Hence, the salary of policeman after 3 years will be $34728.75.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

if you was gonna solve for a, a is a   < -12