Question

Write the exponential function y = 82(1.18)^t in the form y= ae^kt

Answer 1

\[\large
x = e^{\ln(x)} \\ \large
1.18 = e^{\ln(1.18)} = e^{0.1655} \\ \large
y = 82(1.18)^t = 82(e^{0.1655})^t = 82 e^{0.1655t}
\]

Answer 2

Any number can be written as e^( ln(that number) )
5 = e^(ln(5))

Answer 3

oh thank you

Answer 4

You are welcome.

Answer 5

how would you get the annual percent growth rate and the continous