In an election for state office in Virginia, exit polls based on a random sample of 1,000 voters out of 3
1 answer:
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Remember that the quadratic formula is: .
stands for the coefficient of the first term, the one associated with the
,
stands for the coefficient of the second term, the one associated with
, and
stands for the value of the constant.
In , our a-value is 1, our b-value is also 1, and our c-value is also 1.
Thus, when we plug in our values into our formula, we get the answer:
Simplifying this answer using , we get our final answer of:
Ok, so we know it costs $1.10 to make a pin, so the cost of making all 1000 pins must have been:
We know that 35% of the pins, hence 350 pins, were given to charity (we assume this means donated for free), and so the company sold 650 pins.
60% of these we sold at $3 each;
So 390 pins sold at $3 each comes to
So the company has already made $1170.
The other 40% of the 650 remaining pins (260 pins) were sold at $5 for 2. We assume from the question that they were only sold in pairs and were all sold, so we can essentially figure out that 130 pairs were sold at $5 each;
So the company has sold the pins for $650 + $1170 = $1820
This means that the company has made
$1820 - $1100 = $720 as profit
So the percentage profit earned (profit/cost times 100%) would be
Which to one decimal place is 65.5% profit.
Hope this helped.
We know that 35% of the pins, hence 350 pins, were given to charity (we assume this means donated for free), and so the company sold 650 pins.
60% of these we sold at $3 each;
So 390 pins sold at $3 each comes to
So the company has already made $1170.
The other 40% of the 650 remaining pins (260 pins) were sold at $5 for 2. We assume from the question that they were only sold in pairs and were all sold, so we can essentially figure out that 130 pairs were sold at $5 each;
So the company has sold the pins for $650 + $1170 = $1820
This means that the company has made
$1820 - $1100 = $720 as profit
So the percentage profit earned (profit/cost times 100%) would be
Which to one decimal place is 65.5% profit.
Hope this helped.