. Improper Integral in Use

A state lottery commission pays the winner of the "Million Dollar\" lottery annual installments of $50000 each year until the end of winner's life. If the prevailing interest rate is 8%/year compounded continuously, nd the present value of the winning ticket. A state lottery commission pays the winner of the "Million Dollar\" lottery annual installments of $50000 each year for the next ten years. If the prevailing interest rate is 8%/year compounded continuously, will the winner get his million dollars? If no, what should be the size of annual installment for overall win be equal one million? Crystal Car Wash recently bought an automatic car-washing machine that is expected to generate 40000 euros in revenue per year, it years from now, for the next 5 years. If the income is reinvested in a business earning interest at the rate of 12% per year compounded continuously, find the total accumulated value of this income stream at the end of 5 years. What is the present value of this purchase