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Marleythemermaid Marleythemermaid
  • 12-09-2016
  • Mathematics
Answered

How much would $200 invested at 6% interest compounded annually be worth after 6 years? Round your answer to the nearest cent.

Verified Answer :

apologiabiology
apologiabiology apologiabiology
  • 12-09-2016

\(A=P(1+ \frac{r}{n})^{nt}\)
A=future amount
P=present amount
r=rate in decimal form
n=number of times per year to be compounded
t=time in years

so
P=200
r=0.06
n=1
t=6

evaluate to find A
\(A=200(1+ \frac{0.06}{1})^{(1)(6)}\)
\(A=200P(1.06)^{6}\)
A=283.704
round
A=$283.70

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