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4 years ago

WeMoveU charges for moving according to the rate schedule shown. Nicky is moving a

Mathematics

1 answer:

barxatty [35]4 years ago

4 0

Total moving cost is $2176.875 including tax.

Step-by-step explanation:

Cost for loading/unloading service= $95 per hour

Total cost for loading/unloading services = 95 x 6

= $750

Cost for packing/unpacking service= $80 per hour

Total cost for packing/unpacking= 80 x 5

= $400

Trunk rent = $5 per mile

Total distance= 175miles

Total rent = 175 x 5

= $875

Total cost = 750 + 400 + 875

= $2025

Tax = 2025 x (7.5/100)

Tax = $151.875

Total cost including tax = 2025 + 151.875

= $2176.875

Total moving cost is $2176.875 including tax.

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3 years ago

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The wheels on Darlene's car have on 11-inch radius. If the wheels are rotating at a rate of 378 rpm, find the linear speed in mi

elena-s [515]

Answer:

The linear speed in which Darlene is traveling is 24.74 miles per hour.

Step-by-step explanation:

The wheel experiments rolling, which is a combination of translation and rotation. The point where linear speed happens is located at geometrical center of the wheel and instantaneous center of rotation is located at the point of contact between wheel and ground. The linear speed ( $v$ ), measured in inches per second, is defined by following expression:

$v = R\cdot \omega$ (1)

Where:

$R$ - Radius of the wheel, measured in inches.

$\omega$ - Angular speed, measured in radians per second.

If we know that $R = 11\,in$ and $\omega \approx 39.584\,\frac{rad}{s}$ , then the linear speed, measured in miles per hour, in which Darlene is traveling is: