You invest $20,000 in the bank with a 5% annual interest rate, compounded continuously and you withdraw $1100 per year, spread uniformly throughout the year. a. Find the initial value problem which describes the amount of money, P(t), that you have in the bank at time t. b. How long it would take to run out of money? (That is for what t is P(t)=0) c. Repeat part a and part b if, instead of $1100 per year, you withdrew $1200 per year instead.

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