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theshatteredpanda
theshatteredpanda theshatteredpanda
  • 09-02-2017
  • Mathematics
Answered

An investment account earns 4% per year compounded annually if the initial investment was $4000 how much is the account after three years? Round your answer to the nearest dollar

Verified Answer :

apologiabiology
apologiabiology apologiabiology
  • 09-02-2017

compounded annualy makes it easier
\(A=P(1+r)^t\)
A=future amount
P=present amount
r=rate in decimal
t=time in years


given
P=4000
r=4%=0.04
t=3

\(A=4000(1+0.04)^3\)
\(A=4000(1.04)^4\)
A=4499.456
round

about $4499 in the account after 3 years

Answer Link
zexius
zexius zexius
  • 09-02-2017

\(4000 * (\frac{100+4}{100} )^{3} = 4499.46\)

To the nearest dollar, it's $4499.


Answer Link

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