How much should you invest each month in order to have $$500,000$ if your rate of return is $3\mathrm{.}1\%$ compounded monthly and you want to achieve your goal in $40$ years?

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How much interest will you earn?

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How much should you invest each month in order to have $$500,000$ if you want to achieve your goal in $20$ years?

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If you deposit the amount you need to achieve your goal in $20$ years, how much will your savings be worth after $10$ years?