Ms. ache is paid $1250 per week but it's fined $100 each day she is late to work ms. a che wants to make at least $3,000 over the next three weeks so she can take a vacation. over the next three weeks, what is the maximum number of days she can be late to work and still reach her goal of making at least $3000?

7 days

Step-by-step explanation:

Given: Ms. Ache is paid $1250 per week but it's fined $100 each day she is late to work.

To Find: maximum number of days she can be late to work and still reach her goal of making at least $3000?

Solution:

per week payment of Ms. Ache =

Fine for getting late a day =    

let number of days Ms. Ache gets late =  

Amount Ms. Ache wants to make in three weeks =

maximum earning potential of Ms. Ache in 3 weeks = = 

Net earning = maximum earning potential of Ms. Ache in 3 weeks - total fine

                     =

To reach a goal of  

≥

≤

Maximum  number of days she can be late to work and still reach her goal of making at least $3000 is

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

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