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Real-World Applicationshard
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An investor sets up a retirement account with an initial balance of \\10,000.Theaccountearnsinterestatacontinuousannualrateof. The account earns interest at a continuous annual rate of .Theaccountearnsinterestatacontinuousannualrateofr = 6\%.Theinvestordepositsfundscontinuouslyatarateof. The investor deposits funds continuously at a rate of .TheinvestordepositsfundscontinuouslyatarateofD(t) = 5000e^{0.02t}dollarsperyear,wheredollars per year, wheredollarsperyear,wheretisthetimeinyears.Whichofthefollowingisthecorrectformulaforthebalanceis the time in years. Which of the following is the correct formula for the balanceisthetimeinyears.WhichofthefollowingisthecorrectformulaforthebalanceB(t)oftheaccountatanytimeof the account at any timeoftheaccountatanytimet$?