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Interest rates are 5% per annum continuously compounded for the first two years and 6% per annum continuously compounded for the next 3 years. Betty

Interest rates are 5% per annum continuously compounded for the first two years and 6% per annum continuously compounded for the next 3 years. Betty and Bob invests $ 1000 per annum continuously for the first 3 years and $ 2000 per annum continuously for the last 2 years. What is the accumulated value of this continuous annuity at the end of 5 years?

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