To calculate how much Kaitlyn will have after four years with continuous compounding, we can use the following formula:
A = P * e^(r*t)
where A is the final amount, P is the initial principal (in this case, $3,000), r is the annual interest rate (4.08%), and t is the number of years (4). Plugging these values into the formula, we get:
A = $3,000 * e^(0.0408*4)
= $3,000 * e^0.1632
= $3,000 * 1.1759
= $3,527.77
Therefore, Kaitlyn will have $3,527.77 after four years with continuous compounding, which is close to [A] $3,532.18.