Find the amount in a continuously compounded account for the following condition Principal, $5000; Annual interest rate, 5.7% ; time, 2 years the balance after 2 years is $ ?. Round to the nearest cent .round all intermediate values to five decimal places. Solution in a continuously compounded account Amount A = Pe rt Principal, $5000; Annual interest rate, 5.7% ; time, 2 years Amount A = 5000 e(0.057*2) Amount A = 5000 (2.718)(0.057*2) = $5603.76.