Assume that you won $$150,000$ and you want to spend half of the money and invest the rest.

You need to make a decision on how to invest the money and then you need to persuade your partner $($or parents$)$ that you made the right choice.

$($a$)$ List four financial institution and their terms and conditions $($interest rate, how the interest is calculated, minimum balance, etc.$)$

$($b$)$ Calculate what your savings would be in $10$ years in each institution that you listed in part $($a$)?$ Justify your answer $($that is show your work$).$

$($c$)$ What financial institution would you choose? And why?

$($d$)$ Reflect, why it is important $($or not$)$ to study mathematics and how mathematics can help you in your life. Provide at least two examples to support your opinion.