Today is Denise$$s $30$th birthday and she determines to become a millionaire by age sixty$-$five. She plant to start saving annually at her $30$th birthday for $35$ years. She anticipates an annual return of $4\mathrm{.}5\%$ on her investments. How much does she need to save annually to be a millionaire at her sixty$-$ five birthday? If she saves monthly for $35$ years, how much does she need to save monthly to achieve her goal? $($draw a simple time line for this question$)$

Show all work, not an excel spreadsheet.