Add dress and shoes together:
30 + 25 = 55
1/5 off means the total after discount would be 4/5 ( 1 - 1/5 = 4/5)
Multiply total price by 4/5:
55 x 4/5 = (55 x4)/5 = 220/5 = 44
Total after discount is 44
Now add shipping:
44 + 8 = 52
Total paid = £52
Slope, shmlope. What's the q?
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➷ final = original x multiplier^n
n is the number of years
Substitute the values in:
final = 3800 x 1.054^3
final = 4449.440763
The closest answer is A
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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


The system has two solutions.
You can tell because the second equation is a quadratic and the first is a line, so the line passes through the quadratic twice.