You want to purchase a new car in $7$ years and expect the car to cost $$$$51$ comma $000.$ Your bank offers a plan with a guaranteed APR of $5\mathrm{.}5\%$ if you make regular monthly deposits. How much should you deposit each month to end up with $$$$51$ comma $000$ in $7$years$?$

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Part $1$

You should invest $$$

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enter your response here each month.