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Orlov [11]
3 years ago
5

$7450 is invested at 8.0% compounded continuously. How long will it take for the balance to reach $14900? Round your answer to t

wo decimal places, if necessary.
Mathematics
1 answer:
irina [24]3 years ago
4 0

Answer:

  8.66 years

Step-by-step explanation:

The formula for the value (A) of an investment (P) compounded continuously at annual interest rate r for t years is ...

  A = P·e^(rt)

Filling in the given values, we can solve for t:

  14900 = 7450e^(0.08t)

  2 = e^(.08t) . . . . . divide by 7450

  ln(2) = 0.08t . . . .  take the natural log

  t = ln(2)/0.08 ≈ 8.66

It will take about 8.66 years for the balance to reach $14900.

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