Question

a(t)=p*e^rt how may years will it take for 50 dollar investment to grow to 1000 dollars compounded continuosly at a rate of 5%

Answer 1

so you have

\[1000 = 50e^{0.05t}\]

solve for t

\[20 = e^{0.05t}\]

take the base e log of both sides

\[\ln (20) = 0.05t\]

\[t = \frac{\ln(20)}{0.05}\]

t = 59.9146 years

Answer 2

@campbell_st so where did the 20 come from

Answer 3

20 = 1000/50

Answer 4

@campbell_st oohhh thank you