Answer
After 212 years, the value of the investment would be $\$150,306,590,169$
Work Step by Step
This is the formula we use when we make calculations with compound interest:
$A = P~(1+\frac{r}{n})^{nt}$
$A$ is the final amount in the account
$P$ is the principal (the amount of money invested)
$r$ is the interest rate
$n$ is the number of times per year the interest is compounded
$t$ is the number of years
We can find the total value of the investment after 212 years when invested at a rate of 6% compounded daily.
$A = P~(1+\frac{r}{n})^{nt}$
$A = (\$450,000)~(1+\frac{0.06}{360})^{(360)(212)}$
$A = \$150,306,590,169$
After 212 years, the value of the investment would be $\$150,306,590,169$
