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yarga [219]
3 years ago
13

Please help with the attachement

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
5 0

Answer:

A

Step-by-step explanation:

Each guest pays 15 dollars and the fee is 200, so 15x+200 because adding to the cost.

DIA [1.3K]3 years ago
5 0

Answer:

a

Step-by-step explanation:

$200 is the original price, not counting the amount of guests, therefore 200 is the b value

15 is dependent on the amount of quests, so you must multiply 15 to the amount of guests. But, since the number of guests remains unknown, you put in a variable for that.

Resulting, your equation will be C=15n+200

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5 0
3 years ago
The Vilas County News earns a profit of $20 per year for each of its 3,000 subscribers. Management projects that the profit per
Mekhanik [1.2K]

Answer:

850

Step-by-step explanation:

Current profit per year = $ 20

Number of subscribers = 3000

For each additional subscriber over 3000, the profit will increase by 1 cent or by $ 0.01. For example, for 3001 (3000 + 1) subscribers, the profit will be $ 20.01 per year. Similarly, for 3002 (3000 + 2) subscribers, the profit will be $20.02 per year and so on.

So, for x additional subscribers over 3000, the profit will increase by 0.01(x). i.e. for (3000 + x) subscribers, the profit will be $(20 + 0.01x)

Since, profit per each subscriber is $(20 + 0.01x), the profit for (3000 + x) subscribers will be:

Total profit = Number of subscribers x Profit per each subscriber

Total profit = (3000 + x)(20 + 0.01x)

We want to calculate how many subscribers will be needed to bring a profit of $109,725. So, we replace Total profit by $109,725. The equation now becomes:

109725=(3000+x)(20+0.01x)\\\\ 109725=60000+30x+20x+0.01x^{2}\\\\ 0.01x^{2}+50x+60000-109725=0\\\\ 0.01x^{2}+50x-49725=0\\

Using quadratic formula, we can solve this equation as:

\\ x=\frac{-50 \pm \sqrt{50^{2}-4(0.01)(-49725)}}{2(0.01)}\\\\ x=\frac{-50 \pm67}{0.02}\\\\ x=\frac{-50-67}{0.02} , x=\frac{-50+67}{0.02}\\\\  x=-5850, x=850

x = -5850 is not a possible solution as this would make the total number of subscribers to be negative. So we reject this value.

Therefore, the answer to this question is 850. 850 more subscribers are needed to being a total profit of $109,725

8 0
3 years ago
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