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2 years ago

Giannis will retire at the age of 65 and after 32 years of service.

Mathematics

1 answer:

Ksenya-84 [330]2 years ago

6 0

Answer:

Step-by-step explanation:

It would be 33 years

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Julio is paid 1.4 times his normal hourly rate for each hour he works over 32 hours in a week. Last week he worked 43 hours and

nekit [7.7K]

Answer:

$r = \$14.71$

Step-by-step explanation:

Given

Normal Hour = 32 hours

Overtime = Hours above 32

Rate for Overtime = 1.4 times normal rate

Earnings = $535.62

Required

Determine the normal hour pay

First, we need to determine the hours worked overtime.

This is:

$Overtime = 43 - 32$

$Overtime = 11$

The equation that binds all the parameters is:

$Earnings = Normal\ Hour * Normal\ Rate + Overtime * Overtime\ Rate$

This gives:

$535.62 = 21 * r + 11 * 1.4r$

$535.62 = 21r + 15.4r$

$535.62 = 36.4r$

Solve for r

$r = 535.62/36.4$

$r = \$14.71$

4 0

2 years ago

Identify the equation in slope-intercept form for the line containing the point (2,1) and parallel to y=5/3x−1/3.

Murljashka [212]

Answer:

Step-by-step explanation:

7 0

2 years ago

Someone please help??????

Evgesh-ka [11]

Answer:

$a) x=15\\b) AD\ is\ not\ parallel\ tp BC$

Step-by-step explanation:

$As\ we\ know\ that,\\Angle\ D=3x\\Angle\ A=2x\\Angle\ B=90\\Angle\ C=x\\The\ Angle\ Sum\ Property\ Of\ A\ Quadrilateral\ states\ that\ the\ sum\ of\ all\\ the\ interior\ angles\ of\ a\ quadrilateral\ is\ 180.\\Hence,\\ \angle D+ \angle A + \angle B + \angle C=360\\3x+2x+90+x=180\\3x+2x+x=180-90\\6x=90\\x=15\\Hence, x=15$

$Hence,\\As\ Angle\ A\ and\ Angle\ B\ are\ co-interior\ angles, if\ they\ are\\ supplementary\ then\ AD \parallel BC.\ Lets\ check\ that\ out.\\Hence,\\Angle\ A=2x=2*15=30\\Angle\ B=90\ [Given]\\Hence,\\As\ 90+30\neq 180,\\Angle\ A +Angle\ B\neq 180\\Hence,\\As\ Angle\ A and\ Angle\ B\ are\ not\ supplementary, AD\ will\ not\ be\ parallel\ to\ CB.$