Dannycuttie5784 Dannycuttie5784
  • 17-12-2022
  • Mathematics
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You invet $800. 00 into an account that pay 2. 78% interet compounded quarterly for 5 year. Round to the nearet cent

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sqdancefan
sqdancefan sqdancefan
  • 17-12-2022

Answer:

  $918.86

Step-by-step explanation:

You want the value of an account in which $800 is invested for 5 years earning interest of 2.78% compounded quarterly.

Account value

The account value is given by the formula ...

  A = P(1 +r/n)^(nt)

where P is the principal amount, r is the annual interest rate, n is the number of times per year interest is compounded, and t is the number of years.

  A = $800(1 +0.0278/4)^(4·5) ≈ $918.86

The value of the account after 5 years is $918.86.

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