Can anyone please help me with my math problems?

Question

jaweria · Answer

How long will it take an investment to double in value if the interest rate is 6% compounded continuously?

anonymous · Answer

What is the original investment?

jaweria · Answer

its just saying to double it which could be 100

jaweria · Answer

so when we double it then it will be 200

jaweria · Answer

the answer I am getting is 11.55 can someone check it for me please?

anonymous · Answer

$$(1.06)^t=2$$ solve for $t$

anonymous · Answer

doesn't matter what you start with, doubling time is doubling time

anonymous · Answer

solve via 
$$t=\frac{\ln(2)}{\ln(1.06)}$$

anonymous · Answer

oh continuously!!

anonymous · Answer

$$e^{.06t}=2$$
$$.06t=\ln(2)$$
$$t=\frac{\ln(2)}{.06}$$

anonymous · Answer

no one compounds money continuously. just saying

jaweria · Answer

yeah so I am right too :) my answer is 11.55

jaweria · Answer

can you please help me with some little bit more problems?

jaweria · Answer

When a cold drink is taken from a refrigerator, its temperature is 5°C.
After 25 minutes in a 20°C room its temperature has increased to 10°C. 
(a) What is the temperature of the drink after 50C minutes?
(b) When will its temperature be 15°C?