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Mathematics 16 Online
OpenStudy (anonymous):

Last week's gas prices at a local gas station decreased by 4% this Monday, but by this current weekend, they have increased by 8% The current price this weekend is _____ % of last week's prices before the changes.

OpenStudy (danjs):

I would just say -4% + 8% but, The initial price P decreased by 4%, on monday the price was 0.96P You now increase the price on monday by 8%

OpenStudy (anonymous):

Ok, but I don't get where the .96P comes from?

OpenStudy (danjs):

If you let the initial price be P, then the price on Monday will be 4% less, or 96% the original Price 0.96*P mondays price

OpenStudy (danjs):

Not sure if they are asking, "but by this current weekend, they have increased by 8%" Is that 8% increase of the original Price, or the Price on Monday

OpenStudy (anonymous):

The price on Monday

OpenStudy (danjs):

ok, then you increase mondays price - (0.96)P by 8% Price on weekend is 108% of 96% of the original Price New Price = (1.08)*(0.96)*P

OpenStudy (danjs):

So the new price is 1.0368*P or 103.68% of last weekend price P

OpenStudy (danjs):

increase overall of 3.68%

OpenStudy (danjs):

good?

OpenStudy (anonymous):

Good. Thank you so much!!

OpenStudy (danjs):

welcome, anytime

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