The Continental Bank advertises capital savings at $5\mathrm{.}4\%$ compounded semi dash annually while TD Canada Trust offers premium savings at $5\mathrm{.}33\%$ compounded monthly. Suppose you have $$$$2000$ to invest for two years.

$($a$)$ Which deposit will earn more$$ interest?

$($b$)$ What is the difference in the amount of$$ interest?

Question content area bottom

Part $1$

$($a$)$ The

Continental Bank

savings account will earn more interest.

Part $2$

$($b$)$ The difference is $$$

$$

enter your response here.

$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as$$ needed.$)$