Explain why the amount of money in the account at the end of t years is given by the formula: p = p0(1 + r/n)^nt

Step-by-step explanation:

The initial amount invested is P0

Say it is compounded periodically either quarterly or monthly or semi annually with interest r%

If for a period interest is r%

Then after first period principal = principal+simple interest

=

where n is the no of times in a year it is compounded. n = 4 if quarterly, 12 if annually, etc

At the end of II period we have

Principal =

So for interest again the process is repeated

Thus we repeat this nt times which result in power with nt

Hence the formula

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse