Respuesta :

Answer:

$690.78

Explanation:

The amount in an account invested at compound interest and compounded m times in a year is derived using the formula:

[tex]Amount\: at\: Compound\: Interest=P(1+\frac{r}{m})^{mt}[/tex]

• Principal, P=$440

,

• Interest Rate, r=5.8%=0.058

,

• Number of Years, t=8

,

• Number of times compounded, m =1

Substituting the given values, we have:

[tex]\begin{gathered} Amount\: at\: Compound\: Interest=440(1+\frac{0.058}{1})^{8\times1} \\ =440(1+0.058)^8 \\ =440(1.058)^8 \\ =\$690.78 \end{gathered}[/tex]

Your $440 will be worth $690.78 in 8 years.th $690.78

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