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nata0808 [166]
3 years ago
8

Show questions

Mathematics
1 answer:
cupoosta [38]3 years ago
7 0

Answer:

The cost is a fixed $2, plus $3.25 for any additional hour.

Then if you rent it for x hours, the cost is:

c(x) = $2 + $3.25*x

Is this situation continuous or discrete?

Yes, it is discrete, because x is "the number of hours"

so if you rent it for 1.30 hours, they will say "ok, this is equivalent to two hours".

This means that while the values of x are continuous, the possible costs are:

{$2, $2 + $3.25, $2 + 2*$3.25, ....}

Which is a discrete set.

Then the sign for 1 to 5 hours will be:

1 hour ---------- $2 + $3.25 = $5.25

2 hours -------- $2 + 2*$3.25 = $8.50

3 hours--------- $2 + 3*$3.25 = $11.75

4 hours--------- $2 + 4*$3.25 =  $15

5 hours -------- $2 + 5*$3.25 = $18.25

In the other park the cost is only $4 for each hour (no fixed cost) then the total cost for x hours is:

c(x) = $4*x

Now, which option is better?

If we look at the costs for different numbers of hours for this other equation, we have:

1 hour ----- $4

2 hours ---- 2*$4 = $8

3 hours ----- 3*$4 = $12

4 hours ------ 4*$4 = $16

Then: if you want to skate 2 hours or less, Skate City is cheaper, if you want to skate more than that, kate Days is cheaper.

This happens because the first one has a smaller slope, meaning that is larger at first, but as x grows the price does not grow as much as in Skate City

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The GFC is 2

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The number of lines formed by 4 points, no three of which are collinear, is ____. A.5 B.4 C.6 D.3
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Hope this helps
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3 years ago
Suppose you have $16,000 to invest in three stocks, A, B, and C. Stock A is a low-risk stock that has expected returns of 4%. St
podryga [215]

To solve this problem, let us say that:

money invested in stock A = A

money invested in stock B = B

money invested in stock C = C

The given problem states that:

C = A * (1 / 4) = 0.25 A

B = A * (1 / 2) = 0.50 A

It was stated that we only have $16,000 to invest. Therefore:

A + B + C = 16,000

Substituting values of C and B in terms of A:

A + 0.50 A + 0.25 A = 16,000

1.75 A = 16,000

A = $9,142.86

So C and B is:

C = 0.25 (9142.86)
C = $2285.71

 

B = 0.50 (9142.86)

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5 0
3 years ago
Read 2 more answers
5 rational and irrational numbers in decimal form
alexira [117]

Answer:

A rational number is a number that can be expressed as a fraction (ratio). This includes whole numbers, square roots that can be solved evenly, negatives, decimals, and repeating decimals that can be solved with a fraction.

  1. \frac{1}{2}   ↔  .5
  2. 5  ↔ 5.0
  3. \sqrt{4} ↔ 2.0
  4. -13  ↔  -13.0
  5. 0.38462... (\frac{5}{13})

An irrational number is a number that is NOT rational. It's the complete opposite!

  1. π  ↔  3.14159
  2. .13133133...
  3. \frac{\sqrt{3} }{2}   ↔  0.86603...
  4. -\sqrt{5}  ↔  -2.23607...
  5. \sqrt{5}   ↔   2.23607...

Hope this helps!!!

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