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Rus_ich [418]
3 years ago
12

Raquel is going on a vacation. She is trying to figure out how much money to bring along. She plans to spend $120 on hotels, $45

on gas for her car, and $65 on food. She is also going to go to an amusement park twice. Tickets to the amusement part cost $30 per day.
If she wants to have $30 left in her wallet after the trip is over, How much money should she bring?
Mathematics
1 answer:
algol [13]3 years ago
3 0

Answer:

$320

Step-by-step explanation:

she needs to take 320 dollars with her for the trip because she needs about 290 dollars for her expenses then she wants 30 dollars left over so she needs to take about 3320 dollars and none of that includes any tax.

hope this helps :)

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210

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3 years ago
A cylindrical tank with radius 3 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increas
Fittoniya [83]

Height of the water increasing is at rate of  #(dh)/(dt)=3/(25 pi)m/(min)#

<h3>How to solve?</h3>

With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:

#V=pi r^2 h#

There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:

#V=pi (5m)^2 h#

Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:

#(dV)/(dt)=(25 m^2) pi (dh)/(dt)#

In the problem, we are given #3(m^3)/min# which is #(dV)/(dt)#.

So we need to substitute this in:

#(dh)/(dt)=(3m^3)/(min (25m^2) pi)=3/(25 pi)m/(min)#

Hence,  Height of the water increasing is at rate of  #(dh)/(dt)=3/(25 pi)m/(min)#

<h3>Formula used: </h3>

#V=pi r^2 h#

To Learn more visit:

brainly.com/question/4313883

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4 0
2 years ago
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Please answer if you can 30 points.
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Answer:

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Step-by-step explanation:

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D)  

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