how much would $200 invested at 6% interest compounded annually be worth after 5 years? round your answer to the nearest cent.
\(F=P(1+\frac{r}{n})^{nt}\)
F = future amount (what you're looking for)
P = present amount = 200
r = interest rate = 0.06
n = number of compoundings a year = 1
t = number of years = 5
\(F=200(1+\frac{0.06}{1})^{1\cdot 5}\)
F = $267.65
Formula for compound interest
Amount, A = P(1 + r)ⁿ
P= Principal = $200, r = rate = 6% = 0.06, n = number of years = 5
Amount, A = 200(1 + 0.06)⁵
= 200*(1.06)⁵
= 267.645..
So it would be worth ≈ $267.65 after 5 years of compounding.