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Kitty [74]
3 years ago
15

7) A photo booth charges a $500 fee for two hours at a party, plus $50 per additional hour. Cindy doesn't want to spend more tha

n $700 on the photo booth rental. What is the maximum number of additional hours (beyond the first two) that Cindy can rent the photo booth for her party? A) 3 B) 4 C) 5 D) 6
Mathematics
2 answers:
bulgar [2K]3 years ago
4 0
50 times 4 is 200. 200 in additional hours + the 500 for the rental is 700. Therefore the answer is B) 4.
jeyben [28]3 years ago
3 0

Since the photo booth charges a $500 fee for two hours at the party and an additional 50 dollars per hour, we have:

50x+500=C

Where x is the hours stayed and C is the total cost. Since Cindy doesn't want to spend more than 700 dollars, we have:

50x+500=700 \implies\\ 50x=200\implies\\ x=4

So she spent an additional 4 hours on the rental.

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Am i correct? calculus
Advocard [28]
Check the picture below.

now, the "x" is a constant, the rocket is going up, so "y" is changing and so is the angle, but "x" is always just 15 feet from the observer.  That matters because the derivative of a constant is zero.

now, those are the values when the rocket is 30 feet up above.

\bf tan(\theta )=\cfrac{y}{x}\implies tan(\theta )=\cfrac{y}{15}\implies tan(\theta )=\cfrac{1}{15}\cdot y
\\\\\\
\stackrel{chain~rule}{sec^2(\theta )\cfrac{d\theta }{dt}}=\cfrac{1}{15}\cdot \cfrac{dy}{dt}\implies \cfrac{1}{cos^2(\theta )}\cdot\cfrac{d\theta }{dt}=\cfrac{1}{15}\cdot \cfrac{dy}{dt}
\\\\\\
\boxed{\cfrac{d\theta }{dt}=\cfrac{cos^2(\theta )\frac{dy}{dt}}{15}}\\\\
-------------------------------\\\\


\bf cos(\theta )=\cfrac{adjacent}{hypotenuse}\implies cos(\theta )=\cfrac{15}{15\sqrt{5}}\implies cos(\theta )=\cfrac{1}{\sqrt{5}}\\\\
-------------------------------\\\\
\cfrac{d\theta }{dt}=\cfrac{\left( \frac{1}{\sqrt{5}} \right)^2\cdot 11}{15}\implies \cfrac{d\theta }{dt}=\cfrac{\frac{1}{5}\cdot 11}{15}\implies \cfrac{d\theta }{dt}=\cfrac{\frac{11}{5}}{15}\implies \cfrac{d\theta }{dt}=\cfrac{11}{5}\cdot \cfrac{1}{15}
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\cfrac{d\theta }{dt}=\cfrac{11}{75}

8 0
3 years ago
In a survey, 150 people were asked if they smoke and whether or not they exercise regularly (more than twice a week). The result
s2008m [1.1K]
(a) 28%

(b) 24%

When calculating the total amount of people it come out to 150.

According to the table 42 people smoke. 42/150 is 28%

According to the table 36 people exercise regularly. 36/150 is 24%
7 0
3 years ago
Find the equation of the line passing through the point (8, -4) and slope -4.
ehidna [41]

Answer:

y+4x=36

Step-by-step explanation:

the answer isn't in the choice

3 0
3 years ago
100 POINTS AND BRAINLIEST IF RIGHT A survey asked 12 students how many portable electronic devices they have in their homes. The
Morgarella [4.7K]

Answer:

¾

Step-by-step explanation:

More than 3: 9

P(more than 3) = 9/12 = ¾

6 0
3 years ago
Refer to the picture above
vodomira [7]

Answer:

3.14

Step-by-step explanation:

First find the circumference of the circle:

2\pi r = Circumference.

2 * \pi * 6 = 12\pi

Find the ratio of the angle in relation to the entire circle:

30^o is what we have. So:

\frac{30^o}{360^o} = \frac{1}{12}

Use the ratio and multiply the circumference to find the length:

12\pi * \frac{1}{12} = \pi

Round answer to the hundredth:

\pi = 3.14

4 0
3 years ago
Read 2 more answers
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