Question

Write the exponential function y=6(1.21)t in the form y=aekt.
(a) Once you have rewritten the formula, give k accurate to at least four decimal places.
k= help (numbers)

If t is measured in years, indicate whether the exponential function is growing or decaying and find the annual and continuous growth/decay rates. The rates you determine should be positive in the case of growth or decay (by choosing decay the negative rate is implied).

(b) The annual rate is % per year (round to the nearest 0.01%).

(c) The continuous rate is % per year (round to the nearest 0.01%).

Answer 1

y = 6(1.21)^t
1.21 = e^ln(1.21) = e^0.19
y = 6*(e^0.19)^t = 6*e^(0.19t)

Now you can work the rest