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Mazyrski [523]
3 years ago
10

sweaters already on sale for 20% off the regular price cost $28 when purchased with a promotion coupon that allows an additional

30% discount. find the original price. (hint: when you save 20%, you are paying 80%. )
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
3 0

The original price was $50.

To find this we need to start with the price you paid ($28). We then use this cost to find the pre-coupon price. Since the coupon affords a 20% discount, that means you pay for 80%. To solve this, simply divide the price you paid by the percentage you paid.

$28/.80 = $35.

Now that we have the pre-coupon price ($35), we can use that to find the original price. Again, we'd want to divide that by the percentage you paid for, which is 70%.

$35/.70 = $50

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\bf f(x)=0.35x^2-2.1x+15.8\qquad 
\begin{cases}
x=\textit{year since 1995}\\
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\end{cases}

the equation is a quadratic one, and it has a positive coefficient on the leading term, meaning, is opening upwards, so it has a "burrow" for the vertex.

the minimum or lowest point for a quadratic opening upwards is, well, the vertex point :),   the "x" value is the year, the "y" or f(x) value is the population, we're asked for the year, or the x-coordinate of the vertex

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\\\\

\\\\
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