santiagoi192007 santiagoi192007
  • 15-05-2023
  • Mathematics
contestada

Suppose that $2000 is invested at a rate of 3.6%, compounded monthly. Assuming that no withdrawals are made, find the total amount after 7 years.

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sqdancefan
sqdancefan sqdancefan
  • 15-05-2023

Answer:

  $2572.22

Step-by-step explanation:

You want the value of an investment of $2000 after 7 years when it earns interest at 3.6% compounded monthly.

Compound interest

The formula for the account value earning compound interest is ...

  A = P(1 +r/n)^(n·t)

Application

You have P=2000, r=0.036, n=12, t=7, so the account value is ...

  A = $2000(1 +0.036/12)^(12·7) ≈ $2572.22

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