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denis23 [38]
3 years ago
14

Gabby’s goal is to save more than $400. She saves $20 per week plus $50 initially. Let we b the number of week.

Mathematics
1 answer:
Sphinxa [80]3 years ago
3 0

Answer: 17

Step-by-step explanation:

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Step-by-step explanation:

we know that volume of a cone is given by

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V=\frac{1}{12}\pi h^{2}h\\\\V=\frac{1}{12}\pi h^{3}

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\frac{dV}{dt}=\frac{1}{12}\pi \frac{dh^{3}}{dt}\\\\\frac{dV}{dt}=\frac{1}{12}\pi(3h^{2}\frac{dh}{dt})

Applying values and solving for \frac{dh}{dt} we get

\frac{dh}{dt}=\frac{12\frac{dV}{dt}}{3\pi h^{2}}\\\\\frac{dh}{dt}=0.3156ft/min

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