Georgia lybrand installs fencing. she is paid $9.50 per hour for an 8 hour day and time and a half for overtime for any work over 8 hours per day. what is her pay for a week when she worked 7, 12, 9, 10, and 10 hours?

$498.75

Step-by-step explanation:

Georgia Lybrand is paid per hour for an 8 hour day = $9.50 per hour

and for her overtime work she is paid = time and a half

                                                                = 9.50 × 1.5 = $14.25

She is paid for her 8 hours = 9.50 × 8 = $76

She worked in this week

7 hours = 9.50 × 7 hrs. = $66.50     [she did not work overtime]

12 hours ( 8 hrs.+ 4 hrs overtime) = $76 + (14.25 × 4) = $133

9 hours ( 8 + 1 hour overtime) = $76 +( 14.25 × 1) = $90.25

10 hours ( 8 + 2 hours overtime) = $76 +( 14.25 × 2) = $104.50

10 hours ( 8 + 2 hrs overtime) = $76 +(14.25 × 2) = $104.50

Total pay for a week = 66.50 + 133 + 90.25 + 104.50 + 104.50 = $498.75

Her pay for the week is $498.75

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24