The force of interest, ε(t), is a function of time and at any time t (measured in years) is given by 0.05 -0.004t for t≤8 8(t) = 0.018 for t8 Calculate the accumulation at time t = 11 of £1,000 invested at time t = 0. £ Enter a value correct to 2 decimal places.

The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.

The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.

Find the average rate of change for each function over the given interval. y=1x1 between x=2 and x=0