Answer:
$3256.04
Step-by-step explanation:
We can use the compound interest formula to solve for the amount in the account after a given amount of time. The generic continuously compound interest formula is [tex]A = Pe^{rt}[/tex], where A is the amount after the given amount of time, P is the starting amount, e is a constant, r is the interest rate as a decimal, and t is the time in years. We are told that we start with $2600, with an interest rate of 7.5%, and a time of 3 years. Plugging into out formula, we get [tex]A = 2600e^{(0.075)(3)}[/tex] = 3256.04, which is rounded to the nearest hundredth, as that is the nearest cent.