You are asked to work on a project for a company. the company offers to pay you with two different plans. first plan is to pay you 450 per week. second plan is an hourly wage of $10.both plans come with a $200 bonus and a 40 hour work week fir a month. the monthly business cycle is 4 weeks. write linear equations to represent each pay plan

S₁ = 450 × 4 + 200

S₂ = 40 × 40 + 200

Step-by-step explanation:

In the first plan I will be paid $450 per week plus a $200 monthly bonus.

Therefore, the monthly salary is given by S₁ = 450 × 4 + 200 (1)

{Since, the monthly business cycle is 4 weeks}

Now, in the second plan I will be paid an hourly wage of $10 with a monthly bonus of $200.

If I work x hours per week, then monthly salary will be given by  

S₂ = 4x(10) + 200 = 40x + 200 and a condition is that x = 40.

Therefore, S₂ = 40 × 40 + 200 (2)

So, equations (1) and (2) are the required linear equations. (Answer)

853.3

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.