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Angelica receives $$450$ in cash gifts when she earns her engineering degree. She immediately invests the gifts into a money market account that earns $5\%$ interest, compounded at the end of each year. How many years would it take for these gifts to be worth at least $$1,000?$

Click here to access Appendix A$.$

Carry all interim calculations to $5$ decimal places and then round your final answer up to a whole number.

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