If $55 of a $220 budget is spent on clothes, what percent of the budget is spent on clothes?
1 answer:
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Step-by-step explanation:
First, let's move the to the right-hand side so we can determine what constant we'll need on the left-hand side to complete the square:
From here, since the coefficient of the term is
, we know the square will be
(since
it's half of
).
To complete this square, we will need to add to both sides of the equation:
Now we can take the square root of both sides to figure out the solutions to :
The general form of the geometric sequence is 
, where a sub n is the number term you're looking for (we're looking for the tenth term). a sub 1 is the first term in the sequence (ours is -6), r is the common ratio, and n-1 is the numbered term you're looking for minus 1. Our formula then looks like this: 
. Simplify it to 
. Take 2 to the 9th power then multiply it by -6 to get -3072. C is your answer.