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ella [17]
3 years ago
8

Aubrey has a new art box in the shape of a rectangular prism. The box is 5 inches, by 8 inches, by 2 inches. How much volume is

not take-up by the eraser if the dimension of the eraser is 5.5 inches^3
Mathematics
2 answers:
VikaD [51]3 years ago
7 0

volume of the rectangular prism = base area * height

base area = length * breadth

volume of the rectangular prism = length * breadth * height

volume of the rectangular prism = 5*8*2 = 80 inches ^3

volume of taken up by the eraser = 5.5 inches^3

volume that is not take-up by the eraser = 80-5.5 = 74.5 inches^3

bagirrra123 [75]3 years ago
5 0
I think the answer is 74.5
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What is the current value of a zero-coupon bond that pays a face value of $1,000 at maturity in 6 years if the appropriate disco
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Answer:4

Step-by-step explanation:

A zero-coupon bond  doesn’t make any payments. Instead, investors purchase the zero-coupon bond for less than its face value, and when the bond matures, they receive the face value.

To figure the price you should pay for a zero-coupon bond, you'll follow these steps:

Divide your required rate of return by 100 to convert it to a decimal.

Add 1 to the required rate of return as a decimal.

Raise the result to the power of the number of years until the bond matures.

Divide the face value of the bond to calculate the price to pay for the zero-coupon bond to achieve your desired rate of return.

First, divide 4 percent by 100 to get 0.04. Second, add 1 to 0.04 to get 1.04. Third, raise 1.04 to the sixth power to get 1.2653. Lastly, divide the face value of $1,000 by 1.2653 to find that the price to pay for the zero-coupon bond is $790,32.

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4 years ago
Use the substitution method to solve the system of equations.
Murrr4er [49]

Answer:

D. (1/4, -2)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
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  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

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Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = -8x

4x - y = 3

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                    4x - (-8x) = 3
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  3. Combine like terms:           12x = 3
  4. Isolate <em>x</em>:                              x = 3/12
  5. Simplify:                               x = 1/4

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define equation:                    y = -8x
  2. Substitute in <em>x</em>:                       y = -8(1/4)
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klasskru [66]

Answer:

Step-by-step explanation:

|3x+12|

one is as it is                                     one is the negative value of it

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That is because both negative and positive values put in am absolute value become positive.

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3 years ago
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Murljashka [212]

I ain't gonna explain how I got to this cuz I'm quite tired rn but trust me the answer is 2c²

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3 years ago
Read 2 more answers
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