$[$Related to Solved Problem $3\mathrm{.}1$A$]$ Suppose that you are considering investing $$$$1$ comma $3001,300$ in one of the following bank CDs$.$

bullet$$ CD$1,$ which will pay an interest rate of $99\%$ per year for three years

bullet$$ CD$2,$ which will pay an interest rate of $1010\%$ the first$$ year, $66\%$ the second$$ year, and $33\%$ the third year

The future value of CD $1$ is $$$enter your response here$,$ and the future value of CD $2$ is $$$enter your response here.$($Round your responses to the nearest$$ cent.$)$

Given the future values you$$ calculated, which CD should be$$ chosen?

A$.$

CD $22$ should be chosen.

B$.$

CD $11$ should be chosen.

Now suppose for CD $2$ the interest rates stay the same but the order in which they are paid changes such that CD $2$ pays an interest rate of $33\%$ the first$$ year, $66\%$ the second$$ year, and $1010\%$ the third year. What is the future value of new CD$2?$

The future value of new CD $2$ is $$$enter your response here. $($Round your responses to the nearest$$ cent.$)$