Emily plans to save for a down payment on a house. She saves $$1000$ per

quarter from her salary and decides to deposit the money into a savings

account that pays interest at a rate of $6\%$ compounded monthly. Use this

information to answer the following questions.

Question $16$

What would be the balance of Emily's savings account at the end of $2$ years?

Answer to the nearest dollar.

Question $17$

Assume Emily still saves $$1000$ per quarter for two years, but instead she

deposits the money into a savings account that pays interest at a rate of $6\%$

compounded semi$-$annually. What would the balance of her savings account be

at the end of $2$ years? Answer to the nearest dollar.