All exponential functions can be written in many forms. Write the function
f
(
t
)
=
4700
e
0.16
t
f(t)=4700e
0.16t
in the form
f
(
t
)
=
a
(
2
)
t
k
f(t)=a(2)
k
t


. Round all coefficients to four decimal places.

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?