please help me understand the formula and answer to help with my daughters hw

Suppose that $16,283 is invested at an interest rate of 6.9% per year, compounded continuously. a) Find the exponential function that descn'bes the amount in the account after time t, in years. b) What is the balance after 1 year? 2 years? 5 years? 10 years? c) What is the doubling time? a) The exponential growth function Is P(t)= {Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers In the equation.) b) The balance after 1 year is $ {Simplify your answers Round to two decimal places as needed.) The balance after 2 years is $ {Simplify your answers Round to two decimal places as needed.) The balance after 5 years is $ {Simplify your answers. Round to two decimal places as needed.) The balance after 10 years is $ {Simplify your answers. Round to two decimal places as needed.) c) The doubling time is years. {Simplify your answers. Round to one decimal place as needed.) The radioactive element carbon14 has a halflife of 5750 years. A scientist determined that the bones from a mastodon had lost 60.4% of their carbon14. How old were the bones at the time they were discovered? The bones were about years old. {Round to the nearest integer as needed.)