You have the choice of receiving $$80,000$now$,$ or $$43,000$ now and another $$56,000$ six years from now. In terms of$$ today's dollar, which choice is better and by how$$ much? Money is worth $6\mathrm{.}7\%$ compounded annually.

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Part $1$

Which choice is$$ better?

A$.$

The choice of $$43,000$ now and $$56,000$ in six years is better.

B$.$

They are equal in value.

C$.$

The choice of $$80,000$ now is better.

Part $2$

The better choice is greater than the alternative choice by $$$enter your response here in terms of$$ today's dollar.

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