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nydimaria [60]
3 years ago
6

lex is saving money because she would like to purchase the new video gaming system that everyone has been talking about. After t

wo weeks of saving, she had $47. After 24 weeks of saving, she had $430. Approximately how many dollars per week did Alex save on average between weeks 2 and 24?
Mathematics
1 answer:
spin [16.1K]3 years ago
8 0

Well one week she'd have 23.50$. So per week you multiply that number by the number of weeks.

I hope this is what you were looking for, the question was a bit confusing.

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The side of the base of a square prism is decreasing at a rate of 7 kilometers per minute and the height of the prism is increas
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Answer:

dV = - 5.73*10⁹ m³/s

Step-by-step explanation:

Question: What is the rate of change of the volume of the prism at that instant (in cubic meters per second) ?

A function can be dependent on one or more variables. The change in the function due to a change in one o its variables is given by the functions derivative with respect to that variable. For functions that are composed of products of its variables, we may use the product rule to determine its derivative.

The volume of a square prism with base a and height h is given by

V = a²h

When the base and height are changing, we have

dV = 2ah(da/dt) +  a²(dh/dt)

Given

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dh/dt = 10 Km/min

we have

dV = 2(4 Km)(9 Km)(- 7 Km/min) +  (4 Km)²(10 Km/min)

⇒   dV = - 504 Km³/min + 160 Km³/min = - 344 Km³/min

⇒   dV = - 5.73*10⁹ m³/s

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