Lucky Larry wins $$1,000,000$ in a state lottery. The standard way in which the state pays such lottery winnings is at a constant rate of $$40,000$ per year for $25$ years. Round your answer to the nearest $$10.$

If Lucky invests each payment from the state at $7\%$ compounded continuously, what is the accumulated future value of the income stream?

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What is the accumulated present value of the income stream at $7\%,$ compounded continuously? $($This amount represents what the state has to invest at the start of its lottery payments, assuming the $7\%$ interest rate holds.$)$

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