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Suppose that Po is invested in a savings account in which interest is compounded continuously at 5.5% per year. That is, the balance P grows at the rate given by the following equation. = 0.065P(t) dt (a)Find the function P{t} that satises the equation. Write it in terms of Po and 0.065. (b)Suppose that $1500 is invested. What is the balance after 2 years? (c}When will an investment of $1500 double itself? (a) Choose the correct answer below. 0 A- Pm: P(t) e \"55' Q B. Po : P0} eoosst O c_ P[1)=Pue'65t O 0- P[t)= 0.065% e' (b) The balance after?) year is $ . (Type an integer or decimal rounded to two decimal places as needed.) (c) The doubling time is '1 year. (Type an integer or decimal rounded to two decimal places as needed.)