24 ways would be your answer<span />
Answer:
47.5 Meters
Step-by-step explanation:
Find where the derivative changes from positive to negative (local maximum)
h(t)=
h'(t)=
Find where the derivative equals zero
Theres no spot where the derivative wont exist because its a polynomial.
-12t=-30
t=
Ill stop here because this is a parabola opening down and this is the only spot where there will be a horizontal tangent line so this is the x-coordinate of the vertex. AKA you don't need to test positive and negative on both sides.
Now plug into original equation
h(2.5)=
=-37.5+75+10
=47.5
Answer:
c
Step-by-step explanation:
Answer:
Initial cost for a job = $2
Step-by-step explanation:
Let initial cost be $x.
Fixed amount for each copied page = $y
John:
Fixed amount for 425 pages = 425*y = 425 y
x + 425y = 10.50 ---------------(i)
Peter:
Fixed amount for 300 pages = 300 * y =300y
x + 300y = 8 ---------------------(ii)
Multiply (ii) by (-1) and add the both equation. Thus x will be eliminated.
(i) x + 425y = 10.50
(ii)*(-1) <u>-x - 300 y = - 8</u>
125y = 2.50
y = 2.50/125
y = $ 0.02
Plug in y value in equation (i)
x + 425*0.02 = 10.50
x + 8.50 = 10.50
x = 10.50 - 8.50
x = $2