The rate of a continuous flow for a company is growing exponentially. At the beginning, the rate was $10,000 per year. By the end of the first year, the rate was $10,941.74 per year. Complete parts (a) through (e) below. (a) Determine an exponential function to model the continuous money flow for this company. f(t) = (10,000) (0.09) (Type integers or decimals rounded to two decimal places as needed.) (b) Find the total money flow for the first 8 years. The total money flow over is $ 117159.25. (Do not round until the final answer. Then round to the nearest cent as needed.) (c) Find the accumulated amount of money flow at the end of 8 years if the interest rate is 6%, compounded continuously. The accumulated amount of money flow is $ (Do not round until the final answer. Then round to the nearest cent as needed.)