how much would $500 invested at 6% interest compounded continuously be worth after 4 years? round your answer to the nearest cent
Answer:
He would worth $ 635.62 ( approx )
Step-by-step explanation:
Since, the amount compounded continuously,
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Where, P is the principal amount,
R is the rate per period,
t is the number of periods,
Here, P = $ 500,
r = 6 % = 0.06,
t = 4 years,
By substituting the values,
The amount after 4 years would be,
\(A=500e^{0.06\times 4}\)
\(=500e^{0.24}\)
\(=\$635.624575161\approx \$635.62\)