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notka56 [123]
3 years ago
15

Express the amount that results from 100 dollars invested at 5 percent compounded continuously after a period of 2 years.

Mathematics
1 answer:
nalin [4]3 years ago
3 0

9514 1404 393

Answer:

  $110.52

Step-by-step explanation:

The formula for the amount resulting from continuous compounding is ...

  A = P·e^(rt) . . . . . principal P compounded continuously at annual rate r for t years

Using your values, we have ...

  A = 100·e^(0.05·2) = 100e^0.1 = 110.52

The resulting amount is $110.52.

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