A survey estimates the current average cost of college to be $34,179.

(a) If the average cost of college increased by 7.4% each year, what will be the average cost of college 15 years from now?

(b) If a savings plan offers a rate of 5.4% compounded continuously, how much should be put in the plan now to pay for 1 year of college 15 years from now?

(Round to the nearest cent as needed)