How much would need to be annually saved monthly over the next $35$ years to accumulate an amount sufficient to fund $$5,000$ of equal monthly retirement payments over $30$ years of potential retirement. Assume that savings fund earns an annual APR rate of r$\_$S$=0\mathrm{.}065$ during the savings years and that the monthly retirement payments are amortized using an annual APR rate of r$\_$R$=0\mathrm{.}035.$ The first annual saving deposit is made today and the first monthly retirement annuity payment is made when the retiree reaches age $65($i$.$e$.$ use FPP$=0$ for both the savings and the retirement amount calculations$).$