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Gravel Is Being Dumped from a Conveyor Belt at a Rate

question 76

Multiple Choice

Gravel is being dumped from a conveyor belt at a rate of $34 \mathrm { ft } / \mathrm { min }$ and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is $13 \mathrm { ft }$ high? Round the result to the nearest hundredth. $Gravel is being dumped from a conveyor belt at a rate of 34 \mathrm { ft } / \mathrm { min } and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 13 \mathrm { ft } high? Round the result to the nearest hundredth. A) 0.6 \mathrm { ft } / \mathrm { min } B) 0.26 \mathrm { t } / \mathrm { min } C) 0.14 \mathrm { ft } / \mathrm { min } D) 0.27 \mathrm { ft } / \mathrm { min } E) 1.24 \mathrm { ft } / \mathrm { min }$

Definitions:

Cash Inflows

Money received by a business from its operational, investing, and financing activities.

Discount Rate

The rate utilized in calculating the present value of anticipated future cash flows in discounted cash flow analysis.

Salvage Value

The estimated resale value of an asset at the end of its useful life, used in computing depreciation.

Discount Rate

In finance, this rate is used to calculate the present value of future cash flows; in a broader context, it can also refer to the interest rate charged by banks to their most creditworthy customers.