With continuous compounding, a principal of p dollars accumulates to an amount a given by the equation a = pe^rt where r is the interest rate and t is the time in years. a) suppose you start with a principal of $1000 and an interest rate of 7%. how much work will you have in ten years b)suppose you start with a principal of $1000 and an interest rate of 75. how long will it be until you have $2000? round to the nearest tenth of a year.