Answer:
t = 1.107
Step-by-step explanation:
Finding the solution using derivatives involves finding the lower zero of the quadratic that is the second derivative of the given function. That second derivative will be ...
f''(t) = 12(1.6714)t^2 -6(22.45)t +2(62.27)
= 20.0568t^2 -134.7t +124.54
= 20.0568(t -3.35796)² -101.619 . . . . rewrite to vertex form
Then f''(t) = 0 when ...
t ≈ 3.35796 -√(101.619/20.0568) ≈ 1.10706
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The solution is perhaps more easily found using a graphing calculator to find the peak of the first derivative. (See attached.) It tells us ...
t ≈ 1.107
1.1 years after the beginning of 1998 is about 1.2 months into 1999.
Rents were increasing most rapidly in early February of 1999.
Answer:
1/2
Step-by-step explanation:
1/4 (4x - 8) + 3x =0
distribute the 1/4
x-2+3x=0
combine like terms
-2+4x=0
move -2 to the other side [by ADDing +2 to each side
4x=2
divide [by 4 on both sides]
x=1/2
2^5/2^2 = 2^(5-2)
= 2^3
= 8
Answer: 3/4 or 75%
Step-by-step explanation:
Answer:
x = 1
Step-by-step explanation:
2x +4 (3 - 2x) = 3(2x + 2)/6 + 4
2x+12-8x = (6x+6)/6 +4
-6x + 12 = x+1+4
12-5 = 7x
7x = 7
x=1
Hope this helps!