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melamori03 [73]
3 years ago
14

Hey, I need help on this assignment

Mathematics
1 answer:
True [87]3 years ago
3 0

Step-by-step explanation:

YO ≅ NZ

Given

YO + OZ ≅ NZ + OZ

Additive property

YZ ≅ NO

Segment addition postulate

∠M ≅ ∠X, ∠N ≅ ∠Y

Given

ΔMNO ≅ ΔXYZ

AAS congruence

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Answer:

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  • 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 ...

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

  2 = (1 +r/n)^(nt)

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  t = ln(2)/(n·ln(1+r/n))

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For continuous compounding, the formula is ...

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  t = ln(A/P)/r = ln(2)/0.08 ≈ 8.66434 . . . . years

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

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