Part B: Investing

You are investing the remaining amount $($after the purchase of the TV$)$ of your money in a bank with an interest rate of $2\mathrm{.}25\%($Hint: Do not forget to change this to a decimal$)$ over a period of $10$ years. You are trying out three the options below. You must show your work $($calculations$)$ for each option for full credit.

Investment amount $$3\mathrm{.}211\mathrm{.}89$

Option A: Simple interest

I$)$ What is total amount of the interest?

$($amount of interest in dollars and cents$)$

II$)$ What is the future amount?

$($future amount in dollars and cents$)$

Option B Compounded interest

What is the total amount when the interest is calculated quarterly?

$($Total amount in dollars and cents$)$

Option C: Continuous interest

What is the total amount when you invest your money continuously?

$($Total amount in dollars and cents$)$

Based on the three options $($A$,$ B$,$ & C$),$ which one would you choose and why? Please be clear in your mathematical explanations.