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SVEN [57.7K]
3 years ago
6

One side of a triangle is 7 and another side is 10. Which of the values below could

Mathematics
2 answers:
Mariana [72]3 years ago
6 0

Answer:

C

Step-by-step explanation:

given 2 sides of a triangle, then the third side, x , is in the range

difference of 2 sides < x < sum of 2 sides , that is

10 - 7 < x < 10 + 7

3 < x < 17

The only values in the list between 3 and 17 are 4 and 16.

That is III and IV only → C

IrinaK [193]3 years ago
4 0

x is the third side of the triangle, we have:

7 + 10 > x > 10 - 7

<=> 3 < x < 17

so the answer is C. III and IV only

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Explanation:

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Determine the time necessary for P dollars to double when it is invested at interest rate r compounded annually, monthly, daily,
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9514 1404 393

Answer:

  • annually: 9.01 years
  • monthly: 8.69 years
  • daily: 8.67 years
  • continuously: 8.66 years

Step-by-step explanation:

For interest compounded in discrete intervals, the formula is ...

  A = P(1 +r/n)^(nt)

We want to find t for P=1 and A=2, so we have ...

  2 = (1 +r/n)^(nt)

  ln(2) = nt·ln(1+r/n)

  t = ln(2)/(n·ln(1+r/n))

A table of values for r=0.08 is attached.

__

For continuous compounding, the formula is ...

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__

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  • monthly: 8.69 years
  • daily: 8.67 years
  • continuously: 8.66 years

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Let's begin by listing out the information given to us:

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Number of students to be selected: r = 2

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Therefore, there 12 possible combinations from these

3 0
2 years ago
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