Answer:
It will grow to $222.55.
Step-by-step explanation:
The formula for continuosly compounded money quantities is:
[tex]F = Pe^{rt}[/tex]
In which F is the final amount, that is, to how much the money grows, P is the initial deposit, r is the interest rate, as a decimal, and t is the time, in years.
In this problem, we have that:
[tex]P = 100, r = 0.1, t = 8[/tex]
So
[tex]F = Pe^{rt}[/tex]
[tex]F = 100e^{0.1*8}[/tex]
[tex]F = 222.55[/tex]
It will grow to $222.55.
