How many years will it take for a $50 investment to grow to $5000 if it is compounded continuously at a rate of 5%? Round to two decimal places. Do not include units in your answer

A(t) = P times e^rt

Question

How many years will it take for a $50 investment to grow to $5000 if it is compounded continuously at a rate of 5%? Round to two decimal places. Do not include units in your answer

A(t) = P times e^rt

anonymous · Answer

A = total money after t years = 5000
P = investment                     = 50
r = rate                               = 0.05
t = time                               = ????!

anonymous · Answer

idk?

anonymous · Answer

t = 1 i guess

anonymous · Answer

weird guess o:

5000 = 50 e^(0.05t)

anonymous · Answer

$$5000=50e^{0.05t}$$
$$100=e^{0.05t}$$
$$\ln100=0.05t$$
$$t= \frac{\ln100}{0.05}$$