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Suppose that the seller, who is 35 years old, decides to sell this basketball at time t, sometime in the next 30 years: 0 5

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Suppose that the seller, who is 35 years old, decides to sell this basketball at time t, sometime in the next 30 years: 0 5 t S 30. At that time t, he will invest the money he gets from the sale in a bank account that earns an interest rate of r, compounded continuously, which means that after t years, an initial investment of B USD will be worth 38'"15 USD. When he turns 65, he will take the money in his bank account for his retirement. Let M (t) be the amount of money in his account when he turns 65, where t is the time at which he sells his basketball

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