Marsha wants to be able to build a house in $30$ years. Taking into account inflation, she

will need to have $$350,000$ when she starts construction. She is earning great

money working as a controller and plans to continue for another $20$ years. While

she is working, she wants to contribute each year to a savings account and knows

that she can earn $4\%$ interest. When she retires, she will no longer make any

contributions but will earn an interest rate of $8\%$ investing in a certificate of

deposit for the remaining $10$ years. How much should she contribute each year

before retirement in order to have the $$350,000$ when she is ready to build?