Real-World Applicationshard
0:00.0

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 r = 6\%.Theinvestordepositsfundscontinuouslyatarateof. The investor deposits funds continuously at a rate of D(t) = 5000e^{0.02t}dollarsperyear,wheredollars per year, wheretisthetimeinyears.Whichofthefollowingisthecorrectformulaforthebalanceis the time in years. Which of the following is the correct formula for the balanceB(t)oftheaccountatanytimeof the account at any timet$?