Ross Fellar would like to pursue a PhD program in Paleontology. He is 20 years old, but PhD programs are expensive so he would like to start saving now. The program Ross likes costs $100,000, and Ross can earn 9% interest on his investments. Assume that the cost of the program will remain the same.

a. If Ross saves $50,000 today, how long will he have to wait until he can start the program? (answer in complete sentences and round to 0.00)

b. If Ross would like to start the program by the time he is 30, how much will he have to save today? Round to $0.00.