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dennis benitez

dennis b.

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Questions asked

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A 17-foot ladder is sliding down a wall at a rate of -5ft/s. When the top of the ladder is 8 ft from the ground, how fast is the foot of the ladder sliding away from the wall (in ft/s)?

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A light on the ground 100 ft from a building is shining at a 6-foot tall man walking away from the streetlight and towards the building at the rate of 4 ft/s. How fast is his shadow on the building becoming shorter when he is 40 ft from the building?

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ANSWERED

Supreeta N verified

Numerade educator

A rectangular lot having an area of 5000 sq. m. is to be fenced on 3 sides. Find the minimum amount (length) of fencing needed.

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What is the slope of the tangent to the curve y = 3e2x at (0, 3).

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Sandip Ranjan verified

Numerade educator

A spherical toy balloon is being filled with gas at the rate of 500 mm3 /s. When the diameter is 0.5 m, find the rate (mm2 /s) at which the surface area is increasing.

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If the diagonal of a cube is increasing at a rate of 3 cubic inches per minute, how fast (in inch/min) is the side of the cube increasing?

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Find the volume of the largest cylinder that can be inscribed in a cone of radius 3 cm and altitude of 9 cm.

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INSTANT ANSWER

Two sides of a parallelogram are 20 cm and 30 cm and the included angle is 36°. Find the length of the longer diagonal.

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Ameer Said verified

Numerade educator

A machine shop purchased 10 years ago a milling machine for P60,000. A straight-line depreciation reserve had been provided on a 20 year life of the machine. The owner of the machine shop desires to replace the old milling machine with a modern unit of many advantages costing P100,000. It can sell the old unit for P20,000. How much new capital will be required for the purchase?

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Ameer Said verified

Numerade educator

A telephone company purchased a microwave radio equipment for P6,000,000. Freight and installation charges amounted to 3% of the purchase price. If the equipment shall be depreciated over a period of 8 years with a salvage value of 5%, determine the following: (a) Annual depreciation charge using the straight line method. (b) Depreciation charge during the 5th year using SYD method.

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