Answer:
31.9 Hours OR 4.5 Hours (Read Explanation)
Step-by-step explanation:
40 x 7.50 ( To find the amount that he worked in non-overtime) = 300
300 - 339.98 = 39.98 (Money made on overtime)
39.98 / 1.25 = 31.984 (Hours worked on overtime)
If he is getting payed $1.25 extra per hour (That was not super clear) it would instead be:
39.98 / (1.25 + 7.50) (Money made on overtime divided by hourly rate)
39.98 / 8.75 = 4.5 Hours worked overtime
This answer makes more sense, but since it isn't super clear I'll give you both.
Answer:
3 minutes per mile
Step-by-step explanation:
among 4 options.. 3 of them are on the constant term that depicts distance per time taken whereas the option 3rd that is (3minutes per mile) is irrelevant to those 4 options
Explanation is in the file
tinyurl.com/wpazsebu
(y+12)(y+12) is the answer
Answer:
x = 28 m
y = 14 m
A(max) = 392 m²
Step-by-step explanation:
Rectangular garden A (r ) = x * y
Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.
the perimeter of the rectangle is p = 2*x + 2*y ( but in this particular case only one side x will be fencing with wire
56 = x + 2*y 56 - 2*y = x
A(r) = ( 56 - 2*y ) * y
A(y ) = 56*y - 2*y²
Tacking derivatives on both sides of the equation we get:
A´(y ) = 56 - 4 * y A´(y) = 0 56 - 4*y = 0 4*y = 56
y = 14 m
and x = 56 - 2*y = 56 - 28 = 28 m
Then dimensions of the garden:
x = 28 m
y = 14 m
A(max) = 392 m²
How do we know that the area we found is a local maximum??
We find the second derivative
A´´(y) = - 4 A´´(y) < 0 then the function A(y) has a local maximum at y = 14 m
