you just won a lottery entitling you to receive, starting today, a series of 21 quarterly payments of 25,000 each, followed, one year after this series of payments end, by a second series of annual payments of $30,000 each forever! (This $30,000 payment is to be recieved exactly one year after the last $25,000 payment is received) if the appropriate discount rate is =10% compounded continuously, what is the present value of all these future lottery payments?

please show how the problem has been solved algebraically