christinasmith4859 christinasmith4859
  • 06-04-2020
  • Mathematics
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Eva invests $6400 in a new savings account which earns 3.3 % annual interest, compounded continuously. What will be the value of her investment after 6 years? Round to the nearest cent

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ChiKesselman ChiKesselman
  • 08-04-2020

Answer:

The value of her investment will be $7,801.36 after 6 years.

Step-by-step explanation:

We are given the following in the question:

P = $6400

r = 3.3% = 0.033

t = 6 years

Formula for compound interest:

[tex]A = pe^{rt}[/tex]

where A is the amount, p is the principal, r is the interest rate, t is the time in years  when compounded continuously .

Putting values, we get,

[tex]A = 6400e^{6\times 0.033}\\A = \$7,801.36[/tex]

Thus, the value of her investment will be $7,801.36 after 6 years.

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