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horsena [70]
4 years ago
5

A small business earns a profit of $6500 in January and $17,500 in May. What is the rate of change in profit for this time perio

d? Please help :(
Mathematics
1 answer:
Mashutka [201]4 years ago
3 0
So in a matter of 3 months, the profit went up 11,000$ ( you would subtract 17,500 from 6500 to get that number.) Once you get that you would divide it by 3 because there are 3 months in-between. You want to get the profit for one month to learn the rate. So your answer would be 3666 dollars profit a month.
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D. \frac{400p}{500-p}

Step-by-step explanation:

let's call A the number of copies sold of newspaper A and B the number of copies sold of newspaper B.

So, we can formulate the following equations from the sentence: a certain store sold copies of 256 Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each as:

A + B = 256                               (1)

1A + 1.25 B = Total Revenue    (2)

Then, r and p are equal to:

r=\frac{A}{Total Revenue}*100=\frac{100A}{A+1.25B}     (3)

p=\frac{A}{256} *100=\frac{100A}{256}                            (4)

Isolating A from (4) and B from (1), we get:

A=\frac{256p}{100} =2.56p                (5)

B=256-A=256-2.56p                         (6)

Finally, replacing (5) and (6) in (3), we get:

r=\frac{100A}{A+1.25B}=\frac{100(2.56p)}{2.56p+1.25(256-2.56p)}\\\\r=\frac{256p}{2.56p+320-3.2p}=\frac{256p}{320-0.64p}\\\\r=\frac{256p/0.64}{(320-0.64p)/0.64}=\frac{400p}{500-p}

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4 years ago
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