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Feliz [49]
3 years ago
12

at a restaurant you only have $20 to spend on dinner. in addition to the cost of the meal you must pay a 5% sales tax and leave

a 15% tip. what is the most expensive item you can order
Mathematics
1 answer:
kotykmax [81]3 years ago
5 0
Take the total amount which is $20 and multiply by the reciprocal of 120% (5/6)
$20*5/6=$16.66= most expensive item that you can order
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Answer:

y=\frac{C}{x}.

Step-by-step explanation:

Given homogeneous equation

x^2ydy+xy^2dx=0

\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{xy^2}{x^2y}

Substitute y=ux , u=\frac{y}{x}

\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{y}{x}

Now,

u+x\frac{\mathrm{d}u}{\mathrm{d}x}=\frac{\mathrm{d}y}{\mathrm{d}x}

u+x\frac{\mathrm{d}u}{\mathrm{d}x}=-u

\frac{\mathrm{d}u}{\mathrm{d}x}=-2u

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Integrating both side we get

lnu=-2lnx+lnC

Where lnC= integration constant

lnu+ln{x}^2=lnC

lnux^2=lnC

Cancel ln on both side

ux^2=C

Substitute u=\frac{y}{x}

Then we get

xy=C

y=\frac{C}{x}.

Answer:y=\frac{C}{x}.

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Answer:

2/5.

Step-by-step explanation:

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