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tigry1 [53]
3 years ago
8

An inverted pyramid is being filled with water at a constant rate of 50 cubic centimeters per second. The pyramid, at the top, h

as the shape of a square with sides of length 8 cm, and the height is 15 cm. Find the rate at which the water level is rising when the water level is 3 cm.

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
7 0

Answer:

19.53125 cm/s

Step-by-step explanation:

h : s

15 : 8

s/h = 8/15

s = 8h/15

V = ⅓×s²×h

V = ⅓(8h/15)²×h = 64h³/675

dV/dh = 64h²/225

At h=3,

dV/dh = 64(3²)/225 = 64/25

dh/dV = 25/64

dV/dt = 50

dh/dt = dh/dV × dV/dt

= 25/64 × 50

= 19.53125 cm/s

klio [65]3 years ago
3 0

Step-by-step explanation:

Below is an attachment containing the solution.

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Nikolay [14]

The final amount if $10 000 invested for 6 years at 4% compounded quarterly is $12,697

<h3>Compound interest</h3>

The formula for calculating the compound interest is given as:

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Given the following parameters

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Learn more on compound interest here: brainly.com/question/24924853

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2 years ago
Given a point translated from A(1,2) to B(4,4). If a point C at (0,0) is translated in the same way, what will be its new endpoi
avanturin [10]

Answer:

B. (3,2)

Step-by-step explanation:

Step 1) When shifting from A(1,2) to B(4,4), the point shifted 3 units to the right (which means x=3) and 2 units upwards (which means y=2).

Step 2) So when you apply the same movements to point C(0,0), the new point will be (3,2).

See the diagram below. Step 1 is the graph on the left. Step 2 is the graph on the right. The movement is colored in green. Hope this helps!

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Answer:

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Step-by-step explanation:

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By cross multiplying, we get

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i got it right

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