Answer:
The minimum value is 
or 
Step-by-step explanation:
we have
This is the equation a vertical parabola open upward
The vertex represent a minimum
The general equation in vertex form is
where
(h,k) is the vertex
Convert the given function in vertex form
Factor 2
Complete the square
Rewrite as perfect squares
The vertex is the point
A) The estimated total expense is
.. $600 +300 +200 +100 +200 = $1400
b) The estimated remaining to be saved is
.. $1400 -800 = $600
Answer:
OTT →T.................
................... ............
Great question. The answer is N-1.
Think about doing long division. We append a 0, get another digit in the quotient, multiply and subtract to get a remainder. We can assume that remainder is not zero because then we wouldn't have a repeating decimal. At each step the remainder has to be less than N, because we're dividing by N.
So there are N-1 possibilities for the remainder. On the off chance we generate N-1 digits and N-1 remainders and none repeat, we know the next one will repeat, because we've already generated all the possible remainders.
So the largest size of the repeating portion is N-1. This maximum happens first for 1/7.
