is saving for his retirement $24$ years from now by setting up a savings plan. He has set up a savings plan wherein he will deposit $ $138\mathrm{.}00$ at the end of every six months for the next $11$ years. Interest is $6\%$ compounded semi dash annually.

$($a$)$ How much money will be in his account on the date of his$$ retirement?

$($b$)$ How much will Troy $$contribute$?$

$($c$)$ How much will be$$ interest?

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Part $1$

$($a$)$ The future value will be $$$

$$

enter your response here.

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

Part $2$

$($b$)$ Troy will contribute $$$

$$

enter your response here.

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

Part $3$

$($c$)$ The interest will be $$$

$$

enter your response here.