Answer: 12 minutes
Step-by-step explanation: Since there are 2 people and 24 minutes total, you have to divide the total time by the amount of people. The equation will be 24=2x, so divide 24 by 2 and you get 12
The formula for compounded continuously is :
![A=Pe^{rt}](https://tex.z-dn.net/?f=%20A%3DPe%5E%7Brt%7D%20%20)
Here the Amount triples , so let us say the new amount A=3P
![3P=Pe^{rt}](https://tex.z-dn.net/?f=%203P%3DPe%5E%7Brt%7D%20%20)
Cancelling P from both sides we get,
![3=e^{rt}](https://tex.z-dn.net/?f=%203%3De%5E%7Brt%7D%20%20)
Now here we are given rate is 2.75% or 0.0275,
![3=e^{0.0275t}](https://tex.z-dn.net/?f=%203%3De%5E%7B0.0275t%7D%20%20)
solving for t we get
t=39.95 years
6 1/4 - 5 1/2=
6 1/4 - 5 2/4= 3/4
The answer is 3/4.
How to check an answer is by plugging the answer you got for x into the equation. do u need to know how to get the answer?
Consider
, where
.
This means there exists a
such that
and
.
Thus, taking the inverse cosine of both of these equations, we get that:
.
Subtracting arccos(x) from both sides, we get the required result.