Eduardo decided to invest money in an account that earns 3% compounded semi-annually. If he initially
deposited $750 into the account, how much will it be worth in 8 years? Round answer to the nearest
hundredth.



Answer :

Answer:

  $951.74

Step-by-step explanation:

You want the future value of $750 earning 3% per year for 8 years, compounded semi-annually.

Compound interest

The value of an account earning interest at rate r on principal P compounded n times per year for t years is ...

  A = P(1 +r/n)^(nt)

For P=750, r=0.03, n=2, t=8, this is ...

  A = 750(1 +0.03/2)^(2·8) = 750(1.015^16) ≈ 951.74

The account will be worth about $951.74 in 8 years.

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Additional comment

All spreadsheets and many graphing calculators have the necessary financial functions for computing this value. Apps are available for the purpose, as well.

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