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zysi [14]
3 years ago
8

The value of a bike depreciates by 55% per year. Work out the current value of a bike bought 2 years ago for £1300.

Mathematics
1 answer:
nikitadnepr [17]3 years ago
7 0

Year 1: 1,300 * 55% = 715  depreciation
             1,300 - 715 = 585  book value

Year 2: 585 * 55% = 321.75 depreciation
             585 - 321.75 = 263.25 book value

Year 3: 263.25 * 55% = 144.79 depreciation
             263.25 - 144.79 = 118.46 book value

If the bike was bought 2 years ago, then its current value is $263.25. 

Currently, it is the beginning of Year 3 but depreciation is computed at the end of the year.

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If x and y are two nonnegative numbers and the sum of twice the first ( x ) and three times the second ( y ) is 60, find x so th
stepan [7]
2x+3y=60 solve for x...

x=(60-3y)/2

p=xy^3, using x from above:

p=y^3(60-3y)/2

p=(60y^3-3y^4)/2

dp/dy=(180y^2-12y^3)/2

dp/dy=90y^2-6y^2

dp/dy=0 when:

90y^2-6y^3=0

6y^2(15-y)=0, we know y>0 so

y=15, since x=(60-3y)/2

x=7.5

(We solved it this way because otherwise you get quartic equations and cubic derivatives, yuck :P)
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2 years ago
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a_sh-v [17]

3x = 2/5

x = 2/5 · 3

x = 17/5

x = 17/5

or

x = 3.4

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How do you connect the ideas of congruency and rigid motion and how do you prove congruency?
larisa86 [58]

If you cut a triangle out of a piece of paper, and move that triangle around (sliding, rotating, reflecting) then that triangle will retain its original shape and size. The three movement types mentioned are rigid motions. They do not change the size or shape of the triangle. If two triangles are congruent, then a sequence of one or more rigid motions can be applied to have them line up together.

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3 years ago
I need help please ^^
Vaselesa [24]

Answer:

  see below

Step-by-step explanation:

Usually, we're concerned about the relationship of y to x. Here, the question is asking you to consider the relationship of x to y.

The easiest way to find the answer to this one is to check the given explanations to see which is true. You can pretty much ignore the first row of the table and just look at the second row where x=5 and y=15.

  • it is NOT TRUE that x is 3 times y (5 is not 3 times 15)
  • it is TRUE that x is 1/3 of y (5 is 1/3 of 15)
  • it is NOT TRUE that x is 5 times y (5 is not 5 times 15)
  • it is NOT TRUE that x is 1/5 of y (5 is not 1/5 of 15)

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If you know your multiplication tables, you know that 15 = 3×5, so ...

  5 = 15/3

  5 = (1/3) × 15

The relationship of these numbers should not be a mystery.

4 0
2 years ago
Geometry question need help finding the answer.
Xelga [282]

Answer: 1208.96

Step-by-step explanation:

The volume of the cylinder is (\pi)(4^2)(4)=64\pi

The volume of the prism is (6)(12)(14)=1008

So, the total volume is 1008+64\pi=\boxed{1208.96}

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