On January 1, 2024, TJ opens an account that compounds continuously at an APR r. He...

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On January 1, 2024, TJ opens an account that compounds continuously at an APR r. He regularly deposits P dollars into this account at the end of each month. In January 2026, he starts making monthly deposits of 2P instead. So, the first deposit of 2P occurs on January 31, 2026 and continues thereafter. 1. How much money is in TJ's account on January 1, 2028? (Your answer will depend on r and P. Any summations/expressions with sigma notation should be evaluated). 2. How much money must TJ deposit on January 1, 2024 if he wants to make with- drawals (instead of deposits) according to the above compounding scheme? On January 1, 2024, TJ opens an account that compounds continuously at an APR r. He regularly deposits P dollars into this account at the end of each month. In January 2026, he starts making monthly deposits of 2P instead. So, the first deposit of 2P occurs on January 31, 2026 and continues thereafter. 1. How much money is in TJ's account on January 1, 2028? (Your answer will depend on r and P. Any summations/expressions with sigma notation should be evaluated). 2. How much money must TJ deposit on January 1, 2024 if he wants to make with- drawals (instead of deposits) according to the above compounding scheme?