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givi [52]
2 years ago
15

You deposit 2000 in an account earning 3% interest compounded monthly.

Mathematics
1 answer:
s2008m [1.1K]2 years ago
5 0

Answer:

  a. 3641.51

  b.  1641.51

Step-by-step explanation:

The future value formula will tell you the amount in the account in 20 years.

<h3>Formula</h3>

  FV = P(1 +r/n)^(nt)

Principal P is compounded n times per year at annual rate r for t years.

<h3>Application</h3>

The future value of the account with P=2000, r=0.03, n=12, and t=20 will be ...

  FV = 2000(1 +0.03/12)^(12·20) = 2000(1.0025^240) ≈ 3641.50999

<h3>a.</h3>

The account value in 20 years will be 3641.51.

<h3>b.</h3>

The first 2000 of account value is the principal, so the interest is ...

  interest = 3641.51 -2000

  interest = 1641.51

__

<em>Additional comment</em>

Many calculators and all spreadsheets have built-in capability for making this calculation.

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Step-by-step explanation:

Hello!

I'll express all the given percentages as probabilities:

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Check attachment.

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