Selena wants to establish a charitable foundation that will make annual scholarship payments forever. Selena wants the foundation to make the first annual scholarship payment in eight years from today. She wants the first scholarship payment to be $$40,000$ and she wants annual scholarship payments to increase by $2\mathrm{.}80\%$ per year foreverto fund the foundation Selena plans to make equal annual savings contributions for seven years. How much does Selena need to save each year for seven years to have exactly enough in the foundation to meet her goal if she makes her first savings contribution later today. All savings contributions are equal and her expected. Return is $12\mathrm{.}10\%$ per year.