Mark and joe work as jewelers mark has an hourly wage of $24 and gets overtime for every hour he works over 40 hours the overtime pay rate is 150% of the normal rate joe makes 5% commission on all jewelry he sells who earns more money in a week if mark works 60 hours and joe sells $21000 worth of jewelry? explain

Mark earns more money.

Step-by-step explanation:

Mark: $24/h; 150% OT

Calculate Mark's overtime (OT) pay

Convert OT rate to decimals --> 150% = 1.5

Mark's OT wage is 1.5*$24 = $36

Mark worked for 20h OT. (60h-40h = 20h)

(Regular pay X regular hours worked) + (OT wage X OT hours worked)

= ($24 X 40h) + ($36 X 20h)

= $1680

Joe: 5% commission

Convert 5% to decimals --> 0.05

(Jewelry sold) X (commission rate)

= $21000 X 0.05

= $1050

Since $1680 > $1080, Mark earns more.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it