Ruby is saving money and plans on making monthly contributions into an account earning a monthly interest rate of $0\mathrm{.}5\%.$ If Ruby would like to end up with dollar sign, $10,$ comma, $000$$$10,000$ after $10$ months, how much does she need to contribute to the account every month, to the nearest dollar? Use the following formula to determine your answer

A$=$d$((1+$i$)$n$1$:i$)$

A$=$ the future value of the account after n periods

d$=$ the amount invested at the end of each period

i$=$ the interest rate per period

n$=$ the number of periods