If $$4000$ is invested at $7\%$ compounded continuously, then how long will it take for the investment to grow to $$10,000?$ Round to the nearest year.

Part one: Select the correct formula to use.

$\{1+\frac{r}{n})$

Part $2$ of $3$

Part two: Identify the values for the variables needed for this formula. Use the letter $x$ for the unknown value. Write the percent as a decimal.

$A=$

$P=$

$r=$

$t=$

Part $3$ of $3$

Part three: How long will it take for the investment to grow to $$10,000?$ Round to the nearest year.

$t=$ years