Suppose that P, is invested in a savings account in which interest is compounded continuously at 5.2% per year. That is, the balance P grows at the rate given by P = .052 P(t) dt a) Find the function P(t) that satisfies the equation. b) Suppose that $1200 is invested. What is the balance after 4 years? c) When will an investment of $1800 double itself?

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