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3 years ago

$229.95 with 25% off (SHOW WORK)

Mathematics

1 answer:

weqwewe [10]3 years ago

6 0

Answer:

$172.46

Step-by-step explanation:

Discount = 229.95 × 25/100

Discount = 229.95 x 0.25

= $57.49

Final Price = 229.95 - 57.4875

= $172.46

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Step 1

Find the volume of the coin

we know that

the volume of a cylinder is equal to

$V=\pi r^{2}h$

where

r is the radius of the coin

h is the thickness of the coin

in this problem we have

Diameter=19 mm=1.9 cm

r=D/2------> r=1.9/2=0.95 cm

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substitute the values in the formula

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Step 2

Find the mass of copper in the coin

we know that

the density is equal to

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Solve for the mass

$mass=Density*volume$

we have

$Density=8.9\ gr/cm^{3}\\Volume=0.425\ cm^{3}$

substitute in the formula

$mass=8.9*0.425=3.785\ gr$

Step 3

Find the cost

we know that

the market price of the copper is $2.15 per pound

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convert gram to pounds

3.785 gr=3.785/453.592=0.0083 pounds

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