The interest on a particular savings account is compounded continuously. The account initially had $2,200 deposited in it. The worth of the account after t-years can be calculated using the formula:
A(t)=2200e⁰⁵ᵗ
(a) To the nearest tenth of a year, how long will it take for the worth of the account to triple?
(b) If another investment began with a principal of $2,500 and earned simplest interest of 3.8% applied once per year, which investment would be worth more after 10 years? Justify.