Respuesta :

Answer:

The price of the microwave before the sale was $150

Explanation:

The formula to calculate percentage change between two time periods is p=N−OO⋅100 where p is the percentage change, N is the new price and O is the old price.

In this problem we have been given the percentage change (p=−30%) and the new price (N=105). Substituting these into the formula and solving for O while keeping the equation balanced gives:

−30=105−OO⋅100

30100=105−OO100100

−0.3=105−OO

−0.3=105OOO

−0.3=105O−1

1−0.3=105O−1+1

0.7=105O

0.7O=105OO

0.7O=105

0.7O0.7=1050.7

O=15

$150 / 30%     or    $150 / 0.30  (they are the same thing)

Your answer is $500

Hope this helps!

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