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sashaice [31]
3 years ago
7

The washer in the image has an inner diameter of 1/4 inch. The outer diameter measures 3/4 inch, and the washer is 1/4 inch thic

k. The density of the metal that washe
made ofis 0.285 pounds per cubic inch. What would the weight of 5 washers be in pounds?

Mathematics
1 answer:
Talja [164]3 years ago
5 0

Answer:

  0.14 lb . . .  closest choice is 0.11 lb

Step-by-step explanation:

The inside and outside radii are 1/8 in and 3/8 in, respectively. Then the area of the top of the washer is ...

  A = π(R² -r²) = π((3/8)² -(1/8)²) = π(9/64 -1/64) = π/8 . . . square inches

The height of the stack of 5 washers will be 5×(1/4 in) = 5/4 in. So, the volume of material in the stack of washers is ...

  V = Bh = (π/8)(5/4) = 5π/32 . . . cubic inches

The weight of material is the product of volume and density, so is ...

  W = (5π/32 in³)(0.285 lb/in³) ≈ 0.1399 lb ≈ 0.14 lb

_____

<em>Comment on the question</em>

Since this answer does not correspond to any of the offered choices, we suggest you ask your teacher to work this out for you. We suspect they will have difficulty justifying any of the answer choices shown here. (0.11 lb corresponds to 4 washers, not 5.)

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

3) cross multiply:

36 × 10 = 360

45 × x = 45x

equate them both:

360 = 45x

divide both sides by 45

360 ÷ 45 = 8

x = 8

4) 8 people : 3 cups of flour

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to get from 8 people to 14 people we multiply by 1.75, so do the same thing to the 3 cups:

3 × 1.75 = 5.25 cups

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The Burger Palace serves 17,822 items in 7 days. 12,460 of those items are burgers and the rest are hot dogs. If they sell the s
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step-by-step explanation:

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The principal amount, $5500, earns 3.75% interest compounded continuously.
Eva8 [605]

Answer:

a)

The function that represents the value of the account at any time, t

\:\:A=Pe^{rt}

b)

The total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 5,500.00 at a rate of 3.75% per year  compounded continuously  over 6 years is $ 6,887.77.

Step-by-step explanation:

a. Write the function that represents the value of the account at any time, t.

The function that represents the value of the account at any time, t

\:\:A=Pe^{rt}

where

A represents the Future Value

P represents the Principle (Initial Value)

r represents the Interest rate

t represents the time

b) What will the value be after 6 years?

Given

The principal amount  P = $5500

Annual Rate r = 3.75% = 3.75/100 = 0.0375

Time Period  t  = 6 years

To Determine:

The total amount A = ?

Using the formula

\:\:A=Pe^{rt}

substituting the values

A\:=\:5500\left(2.71828\right)^{\left(0.0375\right)\left(6\right)}

A=5500\cdot \:2.71828^{0.225}

A = $ 6,887.77 $

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