if $4000 is saved in an account offering a return of 4% compounded continuously, the future value, S, after t years is given by

S= 4000e^0.04t

1) Calculate the value of S when

a) t = 5 b) t = 5.01

and hence estimate the rate of growth at t = 5. Round your answers at two decimal places.

2) write down an expression for dS/dt and hence find the exact value of the rate of growth after five years

2. If S4000 is saved in an account offering a return of 4% compounded continuously, the future value, S, after 1 years is given by S = 40000 (1) Calculate the value of S when (a) 7 = 5 (b): = 5.01 and hence estimate the rate of growth at: = 5. Round your answers to two decimal places. ds (2) Write down an expression for and hence find the exact value of the rate of d! growth after five years