Money spent by Americans last year=$1,180-6.8% of $1,180
=$1099.76
Answer:
w = 7 7/8
Step-by-step explanation:
w + 1/8 = 8
First, subtract 1/8 from both sides of the equation
w + 1/8 = 8
- 1/8 - 1/8
w = 7 7/8
Check the forward differences of the sequence.
If
, then let
be the sequence of first-order differences of
. That is, for n ≥ 1,

so that
.
Let
be the sequence of differences of
,

and we see that this is a constant sequence,
. In other words,
is an arithmetic sequence with common difference between terms of 2. That is,

and we can solve for
in terms of
:



and so on down to

We solve for
in the same way.

Then



and so on down to


Hey there! I'm happy to help!
Let's call our fraction x.
x=3.777......
We want to get rid of the repeating stuff. If we multiply our fraction by 10, we get 10x=37.7777.
We see that if we subtract x from 10x, the repeating numbers will be cancelled out. Let's do this.
10x=37.7777
-
x=3.77777
=
9x=34
We divide both sides by 9.
x=34/9=3 7/9.
Have a wonderful day! :D