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d1i1m1o1n [39]
3 years ago
15

A community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $15. Lin has $300

to spend on renting the hall for a fundraiser. How many hours can Lin rent the hall for? 1) Write an equation. 2) List what your variable represents. 3) Solve the equation. 4) Answer the question
Mathematics
1 answer:
Natalija [7]3 years ago
5 0

Answer:

6 no 3 yes

Step-by-step explanation:

for 6 hours no because she already used 200 and now she only has 100 to spend

for 3 hours yes because that fee would be UNDER her budget

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The daily profit P ​(in thousands of​ dollars) from the sale of televisions is a function of the number x of televisions sold ​(
scZoUnD [109]

Answer:

The break-even sales amounts​ is 36 or 224.

Step-by-step explanation:

Consider the provided function.

P= -5x^2 + 13x - 4

Where x is the number of televisions sold (in hundreds) and P is the profit.

We need to calculate the break-even sales amounts​.

the​ break-even sales amounts​ is the sales amounts that result in no profit or​ loss.

That means substitute P=0 and solve for x.

-5x^2 + 13x - 4=0

5x^2-13x+4=0

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Substitute a=4, b=-13 and c=4 in above formula.

x_{1,\:2}=\frac{-\left(-13\right)\pm \sqrt{\left(-13\right)^2-4\cdot \:5\cdot \:4}}{2\cdot \:5}

x_{1,\:2}=\frac{13\pm\sqrt{169-80}}{10}

x_{1,\:2}=\frac{13\pm\sqrt{89}}{10}

x=\frac{13+\sqrt{89}}{10},\:x=\frac{13-\sqrt{89}}{10}\\x\approx2.243, \ or\ x\approx 0.357

Therefore, the break-even sales amounts​ is 36 or 224.

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Step-by-step explanation:

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