Suppose that Po is invested in a savings account in which interest is compounded continuously at 6.4% per year. That is, the balance P grows at the rate given by the following equation. dP dt 0.064P(t) (a)Find the function P(t) that satisfies the equation. Write it in terms of P and 0.064. (b)Suppose that $1000 is invested. What is the balance after 2 years? (c) When will an investment of $1000 double itself? (a) Choose the correct answer below. A. P(t) = P₁e 0.0641 B. P(t) = P(t) 0.064t C. ○ D. e P(t) = 0.064Poe Po = P(t) e 0.064t Click to select your answer and then click Check Answer. parts 2 Pemaining ? Clear All Check Answer