Submit quiz Suppose that Po is invested in a savings account in which interest is compounded continuously at 6.3% per year. That is, the balance P grows at the rate given by the following equation. dP = 0.063P(t) dt (a)Find the function P(t) that satisfies the equation. Write it in terms of P, and 0.063. (b)Suppose that $1000 is invested. What is the balance after 1 years? (c)When will an investment of $1000 double itself? (a) Choose the correct answer below. O A. P(1) = Poe0.063t O B. P(t) = P(t)e0.063t O C. Po = P(t)e0.063t O D. P(1) = 0.063Poe' (b) The balance after 1 year is $. (Type an integer or decimal rounded to two decimal plakes as needed.) (c) The doubling time is |year. (Type an integer or decimal rounded to two decimal places as needed.) Next