At the time of her$$ grandson's birth, a grandmother deposits $ $5000$ in an account that pays $5\mathrm{.}5\%$ compounded monthly. What will be the value of the account at the$$ child's twenty$-$first$$ birthday, assuming that no other deposits or withdrawals are made during this$$ period?

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Part $1$

The value of the account will be $$$

$$

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