Question

How long will it take for $1700 to grow to $38,500 at an interest rate
of 8.8% if the interest is compounded continuously? Round the number of years
to the nearest hundredth?

Answer 1

38500 = 1700(e^(.088t))

Answer 2

385/17 = e^.088t

Answer 3

ln(385/17) = .088t

Answer 4

ln(385/17)/.088 = t

Answer 5

ln(385 / 17) / .088 = 35.4548863 is what google gives me

Answer 6

A = P*e^(rt)
38,500 = 1700e^(0.088t)
(38,500/1,700) = e^(0.088t)
0.088t = ln(38,500/1,700)
t = (1/0.088)*ln(38,500/1,700)
t≈35.45